{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "*This notebook contains course material from [CBE20255](https://jckantor.github.io/CBE20255)\n", "by Jeffrey Kantor (jeff at nd.edu); the content is available [on Github](https://github.com/jckantor/CBE20255.git).\n", "The text is released under the [CC-BY-NC-ND-4.0 license](https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode),\n", "and code is released under the [MIT license](https://opensource.org/licenses/MIT).*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [Henry Law Constants](http://nbviewer.jupyter.org/github/jckantor/CBE20255/blob/master/notebooks/07.05-Henry-Law-Constants.ipynb) | [Contents](toc.ipynb) | [Bubble and Dew Points for Binary Mixtures](http://nbviewer.jupyter.org/github/jckantor/CBE20255/blob/master/notebooks/07.07-Bubble-and-Dew-Points-for-Binary-Mixtures.ipynb) >

\"Open" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "Ul6-TcGgTzMN" }, "source": [ "# Binary Phase Diagrams for Ideal Mixtures" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "Ul6-TcGgTzMN" }, "source": [ "## Summary\n", "\n", "This notebook shows how to use Raoult's Law and Antoine's equations to calculate Pxy, Txy, and xy diagrams for binary mixtures. The video is used with permission from [LearnChemE](http://learncheme.com/), a project at the University of Colorado funded by the National Science Foundation and the Shell Corporation." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "vP0hlXLwTzMP" }, "source": [ "## Introduction\n", "\n", "For binary mixtures, Raoult's law provides a very useful equilibrium relationship between pressure, temperature, and composition of liquid and vapor phases. This relationship can be expressed as a set of equations, or graphically as\n", "\n", "* **Pxy Diagram** relationship of pressure, liquid, and vapor composition at fixed temperature.\n", "* **Txy Diagram** relationship of temperature, liquid, and vapor composition at fixed pressure.\n", "* **xy Diagram** relationhip between liquid and vapor phase composition, usually plotted at fixed pressure.\n", "\n", "The following [video](https://www.youtube.com/watch?v=E_Vuz8cfbEo&feature=youtu.be) from [LearnChemE](http://www.learncheme.com/) gives a brief introduction." ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 321 }, "colab_type": "code", "executionInfo": { "elapsed": 351, "status": "ok", "timestamp": 1541104787059, "user": { "displayName": "", "photoUrl": "", "userId": "" }, "user_tz": 240 }, "id": "m_yfuELiTzMQ", "outputId": "3fceb434-33fa-4d5c-b0f9-a3d3f9197650" }, "outputs": [ { "data": { "image/jpeg": 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pMb2ax8iJ7cXiE8mQ2Hmc1sX7A/yh3/VZuHcAw5sLhuTl5ssZznmNjI4wfFZA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\n1XVscB09SvoH9ruBEf8A5Bv/APm/9F9icLh4Nub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"text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 57, "metadata": { "tags": [] }, "output_type": "execute_result" } ], "source": [ "from IPython.display import YouTubeVideo\n", "YouTubeVideo('E_Vuz8cfbEo') " ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "xcQ0yB9xVoBl" }, "source": [ "## Antoine's Equation\n", "\n", "The calculations in this notebook use Antoine's equation to compute the saturation vapor pressure for a given temperature, and solves Antoine's equation for the saturation temperature for a given pressure.\n", "\n", "For this purpose, we create a simple Python class to store data for a set of species, and to provide functions to compute saturation pressures and temperatures. Python class is a more advanced aspect of Python programming that has been deliberately avoided in most of the notebooks in this respository. In this particular instance, however, the use of a class significantly streamlines the notebook.\n", "\n", "The [thermo](https://pypi.org/project/thermo/) library is a complete implementation of a chemical property dataset in Python." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": {}, "colab_type": "code", "id": "cc-okgVHWc63" }, "outputs": [], "source": [ "from scipy.optimize import brentq\n", "\n", "class Species(object):\n", " \n", " def __init__(self, name='no name', Psat=lambda T: null):\n", " self.name = name\n", " self.Psat = Psat\n", " \n", " # compute saturation pressure given temperature. \n", " def Psat(self, T):\n", " raise Exception('Psat() has not been defined for ' + self.name)\n", " \n", " # compute saturation temperature given pressure\n", " def Tsat(self, P):\n", " return brentq(lambda T: self.Psat(T) - P, -50, 200)\n", "\n", "\n", "acetone = Species('acetone', lambda T: 10**(7.02447 - 1161.0/(T + 224)))\n", "benzene = Species('benzene', lambda T: 10**(6.89272 - 1203.531/(T + 219.888)))\n", "ethanol = Species('ethanol', lambda T: 10**(8.04494 - 1554.3/(T + 222.65)))\n", "hexane = Species('hexane', lambda T: 10**(6.88555 - 1175.817/(T + 224.867)))\n", "toluene = Species('toluene', lambda T: 10**(6.95808 - 1346.773/(T + 219.693)))\n", "p_xylene = Species('p_xylene', lambda T: 10**(6.98820 - 1451.792/(T + 215.111)))" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "TiqYaw8_W-t1" }, "source": [ "In the following cell we choose specific species to use as components `A` and `B` in subsequent calculations for thsi notebook. " ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 51 }, "colab_type": "code", "executionInfo": { "elapsed": 192, "status": "ok", "timestamp": 1541104789663, "user": { "displayName": "", "photoUrl": "", "userId": "" }, "user_tz": 240 }, "id": "Xw2zUZl-XHTr", "outputId": "ffd68c4b-992b-4016-ebe1-76ccfa94f239" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Normal boiling point of acetone : 56.2 deg C\n", "Normal boiling point of ethanol : 78.3 deg C\n" ] } ], "source": [ "A = acetone\n", "B = ethanol\n", "\n", "# report normal boiling points\n", "for s in [A,B]:\n", " print('Normal boiling point of', s.name, ':', round(s.Tsat(760),1), 'deg C')\n" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "3DKSyqD68jxe" }, "source": [ "## Binary Mixtures" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "Da1Brid9tSzE" }, "source": [ "For an ideal **binary mixture** of $A$ and $B$, the vapor phase pressure $P$ is the sum of component partial pressures $p_A$ and $p_B$\n", "\n", "\\begin{equation}\n", "P = p_A + p_B\n", "\\end{equation}\n", "\n", "Raoult's law, in turn, says for ideal mixtures\n", "\n", "\\begin{align*}\n", "p_A & = x_A P^{sat}_A(T) \\\\\n", "p_B & = x_B P^{sat}_B(T)\n", "\\end{align*}\n", "\n", "Eliminate partial pressures and obtain an expression for total vapor pressure.\n", "\n", "\\begin{equation}\n", "P = \\underbrace{x_A P_A^{sat}(T)}_{p_A = y_AP} + \\underbrace{x_B P_A^{sat}(T)}_{p_B = y_BP}\n", "\\end{equation}\n", "\n", "For binary mixtures, the substitutions $x_B = 1-x_A$ and $y_B = 1 - y_A$ give an expression for total pressure as a function of composition $x_A$ and temperature.\n", "\n", "\\begin{equation}\n", "P = \\underbrace{x_A P_A^{sat}(T)}_{p_A = y_AP}+ \\underbrace{(1-x_A) P_A^{sat}(T)}_{p_B=(1-y_B)P}\n", "\\end{equation}\n", "\n", "In the Raoult's Law notebook, we demonstrated this relationship by plotting $P$, $p_A$, and $p_B$ as functions of $x_A$ at a fixed temperature.\n", "\n", "The next step is to select a temperature $T$ and run the following cell. This cell will evaluate and display $P$, $p_A$ and $p_B$ functions of liquid phase mole fraction $x_A$." ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "cellView": "both", "colab": { "base_uri": "https://localhost:8080/", "height": 407 }, "colab_type": "code", "executionInfo": { "elapsed": 626, "status": "ok", "timestamp": 1541104792401, "user": { "displayName": "", "photoUrl": "", "userId": "" }, "user_tz": 240 }, "id": "4v2SxIOvrPZz", "outputId": "1d88f2b8-ded5-4f46-9885-f6313ab79243" }, "outputs": [ { "data": { "image/png": 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QSv0IXAl0B+aY2y4FZgYwViFEDWKz2UhPP86QIcMAaN26NZmZxrI69903kPPP\nb8eePbt5+OEnOOuss4u89uKLLyU0NJQ6deoQFxdHeHg4K1cu49NPP8RutxMZeXL9wPPOa+t1fb/4\n+HrMnv1eqa8rTfF6MzLSi+x/8+ZNbNy4oXBBW5vNRocOlzF27JNkZmZy7bXdadfuQqKjoxgzZnSR\nsr17d3utt6CO0vZvt9sJCwvzWr/dbi+xP6XaFB6r2+322Q7t2l1ISEgICQkNyM7OQustXHJJewDq\n108gPDycEycyfLZbeQQsAWqtHYBDKeVZHKO1tpk//w00BhoBqR7blCjXWruUUm6lVLjWOt9bnXXr\nRhMaGlLu2BMSSl+ZWEjb+CJtU7q9j+0pc5sv7/yszG0eu+YhHrvmIb/q/P333bRu3ZpmzeoDsG3b\n75x/flscjiwuvfRiJk6cyKxZs8jPzyzye4uLiyQiIrSwLCTEysqV39KiRTNef/01fv/9d1544QUS\nEuKIi4ukVq0YEhLiqFMnmoiIsMLy6OhwFi2a5/V10dHhZdYbGxuJzRZTWBYXF82oUQ/Sp0+fIsf6\n9dcL+fHHH5k5cwb9+/fnlltuKVFWq1ZUYZ0ZGS5CQqwljsHb/k/GWPrz+/adPPY6daKJjo4sjNli\nsfhsh7i4KBIS4sjOtmK1WoiKCicu7uTr8/PzSUioVWqbVYSqXA7J2yKFp1pe6PjxnNOPxiQLm3on\nbeOdtI1vld0+a9f+xv79B9i/Pw2Xy8Urr7zKAw/8k59+Wstff+3gySef4ejRNG68sX+RuDIz81i7\ndh2HD6eTmZnJiROZHDx4hLPPPpfU1EwWLFhETk4eqamZZGbmkZOTT2pqJidO5JUoz8jIKvN1BW1T\nWr0hIZFFtmvdWrF48Tdcdtk1HD9+jC+++JSzzz6HJk2actFFl3HvvREsX/4dubmOEmWXXNKBffsO\nkpqayapVq3A6XSViKW3/99//YGHbeHve89jT03Ow2eyFMbvdbr/aLycnB6fTRatW57JixQ906nQ1\nR44cxmq1YrNZSrTZqfCVNCs7AWYppaK01rlAU+Cg+a+RxzZNgdUe5RvNATEWX2d/QghRYPv2bVxz\nzbUMHz4Yp9PBwIFDuPDCi3n33bcYNeoRzj33H/zrX6PJzc0lKiqqyGsbNWrCuHFPc+DAPoYPH0nL\nlq149tkJLF++lP79B7B06bcsWvRVka7Pli1bo/VWXn/9Zc455x8A9Op1Y5mv81Wvy+Uq8ny3bj1Y\nv34NI0YMxel0MnTocOLj6/HSS9OIiorGarXyyCOjsdlsJcoSEhKYM2cmo0YNp3PnLlgsJScAlLZ/\nf573PPYuXa4psd9TaYfu3a+zY3qzAAAgAElEQVRjw4Z1PPTQ/TgcdiZPnlxqW1UUi9vtLnurclBK\nTQTSzFGg7wD/01p/pJR6HdgEfAz8DnQAHMB6oCNwI9BNa52klEoEErXW9/iqKzU1s9wHI9/kvZO2\n8U7axrfKbp9Ro4bz5JNjaNGiVZHyJ574J40aNcZisRIXF8fw4SOLPL948cLC0ZKVJSEhjtmzP6n0\nequDinjfJCTEee09DOQo0PbAy0ArwK6UuhW4G5illLof2APM1lrblVJPA0sANzBJa52hlPoc6KmU\nWoUxoGZwoGIVQtQsBw7sp1mzFiXKX3rp9SqIRpypAn4GWJnkDDCwpG28k7bxTdrHO2kb7wJ9Bih3\nghFCCBGUJAEKIYQISpIAhRBCBCVJgEIIIYKSJEAhhBBBSRKgEEKIoCQJUAghRFCSBCiEECIoSQIU\nQggRlCQBCiGECEqSAIUQQgQlSYBCCCGCkiRAIYQQQUkSoBBCiKAkCVAIIURQkgQohBAiKEkCFEII\nEZQkAQohhAhKkgCFEEIEJUmAQgghgpIkQCGEEEFJEqAQQoigJAlQCCFEUJIEKIQQIihJAhRCCBGU\nJAEKIYQISpIAhRBCBCVJgEIIIYKSJEAhhBBBSRKgEEKIoCQJUAghRFCSBCiEECIoSQIUQggRlCQB\nCiGECEqSAIUQQgQlSYBCCCGCkiRAIYQQQUkSoBBCiKAkCVAIIURQkgQohBAiKEkCFEIIEZQkAQoh\nhAhKkgCFEEIEJUmAQgghgpIkQCGEEEEptKwNlFIfAu5ixQ5AA29qrbP8rUwpFQvMAeoCEcAk4DDw\nllnHJq31A+a2o4HbzPJJWuvF/tYjhBBClKXMBAgcBC4HFgBO4CbgN6AJRjJLPIX6BgNaa/2MUqoJ\n8D1wCHhYa71GKfWJUqo3sBW4A7gCqA38oJRaorV2nkJdp+XLL79k7tzkwsdab+G7734gKyuLCRPG\ncOJEBgkJDZg4cSrh4eF88skcli9fClgYOnQYV1zRpULjOXToIGPHPsX7739YWPb++29Tp04d+ve/\nvULrEkKIYOJPArwI6K61dgAopd4EkrXWNymlVp5ifWnAhebPdYFjQGut9RqzbCHQA2gM/FdrnQ+k\nKqX2AG2B30+xvlN222230bVrLwA2bFjH998vBWDOnPfp1Okybr/9bj744F22b/+LOnXqsnTpt7z9\n9gdkZWXx4INJdOp0BSEhIYEOUwghRDn5kwAbASEY3Z4FWiilwoBap1KZ1vozpdRgpdR2jATYF3jT\nY5O/MZLfUSC1lPKAJ0BPs2a9x/jxUwD48ccfmD79HQCGDBkGwNdfL+DyyzsTFhZG3bp1adSoMbt3\n7+Lss88p3MeAATfTt28/VqxYRrNmzVDqPJYvX0qzZi2YMOFZpk6dSN26ddF6K+npx7n77ntZtGgh\nGRnphfX58tprL/L775to3fos9u7dw6RJ02jcuEkAWkMIIWoWfxLgl8A2pdSvgAtoD3wFDDL/95tS\n6h5gr9a6l1LqIiAFyPDYxOLlpd7Ki6hbN5rQ0PKffSUkxLFp0yZatGhGmzatATh+/BjffruQn376\niXPOOYexY8dis2XRrFkjEhLiAGjUqAEOR3bhYwCLBTp1uoRHHx1F165d6dv3Rh5+OIWuXbsSEeEm\nMjKMuLhoPvnkIx5//HG2b9/CJ598yOjRo9mx4w/atGnDvn17eOyxkYX7PHDgAEOHDuXYsYP8+efv\nzJ+fzLZt2+jXrx/x8TFF6q9ogdx3dSdt45u0j3fSNt4Fsm3KTIBa66lKqc8xukKtwBSt9e9KqZDT\nuCZ3JbDE3O9GpVQUEObxfFOMa44HAVVKuU/Hj+ecYjglJSTEkZqayYcffkKPHteTmpoJQF6ejfPP\nv4Tbb7+X559/lpkzPyQ724bTafXYxk5GRm7hYwCn00WTJmeRlpZF7dp1adSoJampmdSqVYc9ew6T\nl2enZctzSU3NJDa2Ds2btyI1NZPo6FocPJhKgwbNad68Ja+88p/Cfb7//ttkZeWxYcMf/OMfbTl6\nNJv4+CY0atSYY8eyiYjIJBAK2kaUJG3jm7SPd9I23lVE2/hKoF6nQSiluhX8A1oAxzG6JhOUUt1O\nc0DKduAyc/8tgUxgi1KqYORIIvANxuCYG5VS4eZgmabAn6dR32nbsGEdF1xwUeHjBg0a0q6dcfmy\nY8fL2bVrJ/XrJ3Ds2NHCbVJT/6Z+/fol9uV5TdDzZ7fb7dfz3rmxWk+eHFssfp0oCyGEwPcZ4Lhi\njy/CGP1pwZia8P1p1Pc2MNMcPBMKjMCYBvG2UsoK/KK1XgqglHoX+J9Z1wNaa9dp1Hda0tJSiYqK\nJizs5Mlp+/YdWL9+LZde2gGtt9CiRUsuvbQjn3/+Mffddz8ZGemkpqbSqtVZlRUmTZs244svPsXt\ndrNnz24OHz5UaXULIUR15zUBaq2v9XyslFqute5WnsrMOYMDSnnqqlK2fQN4ozz1na60tDTq1o0v\nUpaU9ACTJ4/lvfdmEB8fz+DBSURFRdG37y08+OAwLBYLTzzxNFZr5d1boE2btjRv3oLhw+/l3HMV\nrVqdVan1CyFEdWYpu5vNoJT6vrwJMNBSUzP9OxgfqlN/fH5+PsuWfUvv3n3Izc3l7rtv5YsvFhAa\n6s/YplNXndqmsknb+Cbt4520jXcVdA3Q67WhwHxSikoRHh7O1q1/Mnfu51itFpKSRgQs+QkhRE3j\n9dNSKVX8YlaUUqo15pQErfXOQAYm/PPoo09WdQhCCFEt+TpdWIYxAMXz9LFg4IsbqLzRHkIIIUQF\n8zUIpnVlBiKEEEJUJn9Wg2gC3IpxU+rCs0Gt9eQAxlVlVqxYQUJCc44fP0ZamnE3trPPPoesrCyO\nHDkMQKtWrcnPz+fgwQMANG/eAoB9+/YC0KRJU8LDw9m9excADRs2IjY2lh07tgNQv34CdevGs22b\nBqBu3XgSEhqwY8c2nE4ntWrVpmHDRuzevQu7PZ/Y2FgaN27Kvn17yMvLIzIykubNW3Lo0AGysrII\nCwunVavWHDlymBMnMggJCeHss88lNfVvjh8/BsC556pyH1NeXjzr1v1eo46pon5PMTGhOBzWGnVM\nFfl7Sk3dx19/7a5Rx1RRv6c6daKJiKhVo46pvL8nR/px6q5fS2R0OJH1GmHrezPuWrWpaGWOAlVK\nbQTWA/s9y7XWxecJVrlgGwVa2aRtvJO28U3axztpm6KiX32R6H+/giUnu7DMHR1DzsOPkfPo6FPe\nX3lHgR7VWg855VqFEEKIUxD96ovEPDelRLklJ7uw/HSSoDf+JMAUpdTdwM94rAihtd5bYVEIIYQI\napYTGUT/+xWf20T/+xVyk+7HHXdKCxF55U8CvBC4G+M+oAXcGPcHFUIIIcrNMm9BkW7PUrfJySZi\n4QLy7hpYIXX6kwAvB+pqrW0VUqMQQggB2O3www8hzJsXRveUP7nfj9dYzUE5FcGfBLgGiAQkAQoh\nhCgXlwt+/TWElJRQvvoqlJCjqUxhHEm869/rGzaqsFj8SYDNgN1KqS0UvQZ4dYVFIYQQosZyu+GP\nP6wkJ4cyf34Y+/dbCcfGmOgXeTJsKlH2TBznnItl3z4stjzv+4mOwdb35gqLy58EOLXCahNCCBE0\ndu2ykJISRnJyKH/9Zax1Ghvr5l89f+LpTfcQe2QXrvh4Mp96hbyBg4l+49VSR4EWyHn4sQobAAP+\nrQi/Uil1IcUmwgshhBDFHTliYcGCUJKTw1i/3kh6ERFu+vSx06+fgx49HMRk1Cf6quPk3P8gOU88\nhbt2HeDkFIeKnAfoiz93glkAXAAc8Ch2A9IFKoQQgvR0WLTIONP78ccQXC4LVqubrl0dJCba6dvx\nAA3fmEx+1E3kR12PK6oxx9ZvLvVsLufR0eQm3U/EwgXEZR0nM7aucSeYCjzzK+BPF2gTrbXc+FoI\nIUShnBz47rtQkpNDWbYslPx8o4OwY0enkfT6OmhQK5eot98kusfLWLOzsGZkkN/jegCfCc0dV4u8\nuwYSlxBHXgDvkuNPAlyrlGqltd4dsCiEEEKc8ex2+N//jGkL//1vKNnZRtI77zwniYkObrnFTsuW\nbnC7CV84n9jJ4wnZuwdXvXpkTnyWvLsHVfERFOVPAvwN+EspdRhjFKgFcMtZoRBC1HwF0xaSk0NZ\nuDCUo0etALRo4WLYsHz69XNw3nmuIq+JmPs5tR4cjjssjJwHHiLnsdGF1/nOJP4kwCeBnhS7GbYQ\nQoiayXPaQkpKGAcOGEmvfn0XSUn5JCbaad/ehcVjWKT1yGFctetAZCS2m/qR++sv5DwwCtdZZ1fR\nUZTNnwS4SWu9MuCRCCGEqFKlTVuIi3Nzxx12EhPtdOniJLR41sjNJXrGdKL//QrZjz1J7j8fhYgI\nsl58tfIP4BT5kwAPK6WWU/Jm2OMDFpUQQohKUTBtISUljHXrik5bSEw0pi1ERpbyQrebiAXJxEyZ\nQMi+vbjq18fVsGHlBl9OfiVA858QQogaICMDFi0KZd68sFKnLdxwg4NaPmYdhP6+kdhnRhP262rc\n4eHkPPgwOY8+EZBFawPJn4nwkyojECGEEIGTm2tMW5g3r+i0hQ4dnPTvb05baODfmuKW1L8J+3U1\nthtvImv8ZFytq+eYSH/OAIUQQlRDfk9bKEtODtEzppN3+124mjbD3q0nx5atwnnBhQE+gsCSBCiE\nEDWIr2kLSUnGtIW2bV1l7MXkdhORMte4zndgP9ZDhwoHt1T35Ac+EqBSai6wBPhWa72n8kISQghx\nKtxu2LzZSkpK6dMW+vWz06FD0WkLZQldt4bYsU8Ttm6NcZ3vn4+R8/BjATqCquHrDHAycD3wnlKq\nAfA/4Fvge62172V7hRBCBNzOnca0hZSUU5i24IfI998m7hnjxtO2vreQNW4SrlatKzL0M4LXptFa\nbwI2AS8qpaKAazAS4hSlVLrWumvlhCiEEKLAkSMW5s83VlvYsOHktIW+fU+utlDqtIWy5OdDeLjx\nY/frsHf4kuxxk7BfcWUFRn9m8eu7gdY6F/jG/IdSqlkggxJCCHGS52oLq1aF4HZbCAlxc+21Dvr1\ns3PjjQ7i4k5z5y4XEfO+IGbqJDL/8y72zl1wtWpN+uKlFXoMZ6LTGgSjtZbbogkhRAAVrLYwb14o\n339fctrCTTc5SEjwb9qCN6FrfiF23NOErV+HOyKCkG1/Ye/cpSLCrxZkFKgQQpwhCqYtJCeHsXhx\n0WkL/fsb0xZatChf0gOw7t9HzLMTiEyeC0DeLYlkj52Eq0XLcu+7OvErASql6gGttdZrlVJWrbWf\nY2iFEEL44nLB6tWnttpCeUV++hGRyXOxX3wJWZP/D8flV1To/qsLf1aEvxNjRKgNaAe8oZRar7V+\nP9DBCSFETeQ5bWHBAti3Lxoo37QFn1wuwhd9RX7vPhAaSs7If+I862xs/W4Fq7WCKql+/DkDfAy4\nCFhkPn4CWAFIAhRCiFNQ2moLtWpR7mkLvoT++gux454ibMN6Mp97ibz7hkNMDLb+Ayq2omrIn6bO\n0FrnKKUAY0SoUio/sGEJIUTNUDBtISUljPXrS662cOedUWRm5lV4vdZ9e4mZMp7I+ckA5PXrT/51\nvSq8nurMnwSYppS6F4hSSl0K3A6kBjYsIYSovjynLRSstuA5bcFztYXISMjMrNj6o959i5jJ47HY\nbNgvuZSsKc/j6HRZxVZSA/iTAEcAzwJxwHvAD0BSIIMSQojqxtu0hY4dnSQmVsy0BX85GzXGFV+P\n7LETja7OIL7O54s/CfAKrfWogEcihBDVjN0OK1ca0xaKr7ZQkdMWyhK2+ieiX5jGibc/wJ2QQH6f\nmznW/TqIjg543dWZX4NglFLfaa0dZW8qhBA1m6/VFgI1bcEb6949xEweT+RXKQBEfPcNeXcNBItF\nkp8f/EmA6cCfSqn1QOHgF631oIBFJYQQZ5CCaQvJyWHMnx9aYrWFxEQ77dtX4LSFMliyMol6/VWi\n33rDuM7XvgNZk5/D0VGu850KfxLg1+Y/IYQIKqVNW4iLc3PnnXb69QvMtAV/xD7xMJHJc3E2bkL2\nuEnYEm+T63ynwZ9f3Q8Bj0IIIc4QpU1biIw0VltITHTQvftprrZQTiE7tuE8+1wAch4ZjfOsc8h5\n8GGIian8YGoIfxLgMsANWIBwIAH4A7gkgHEJIUSlKWvaQrlWWygn6+5dxE4eT/iir0hfshzHxZfi\nbHMeOW3Oq5qAapAyE6DWusgqiEqp84H7AhaREEJUAm/TFjp1ctCvn6NSpy2UxpJ5gujXXibq7Tex\n5Odj79AJd1h4lcVTE51y77XW+g+lVPvTrVApdTfwJOAAxmMsuvshEAIcAgZqrW3mdo8ALuAdufeo\nEKK8zpRpC2WJ+OxjYiePx5qWirNpM7LHT8Z2S38qbZRNkPDnZtiTixW1AOqcTmXmqhITgPZALDAJ\nuBV4U2v9pVJqGjBUKTUHIzl2whh5ukYplaK1PnY69QohgpfntIWvvgrl2LGqm7bgr9A//8CSk032\n02PJeeAhiIqq6pBqJH/OAJ0eP7uB34B/nWZ9PYClWutMIBMYrpTahXG3GYCFGDfb1sAarXUGgFLq\nR+BK83khhPDJ27SFhISqmbZQFuuunUR9OIvssRPBaiXniafIHfkQrkaNqzq0Gs2fa4CTlFJxWutM\npVRD4B8YXZWnoxUQrZT6CqgLTARitNY28/m/gcZAI4reb7SgXAghvNq58+S0hW3bzpxpC95YTmTA\ni1OIf+01LHY79suuIP/63rhr1cZdq3ZVh1fj+dMF+gbwm1IqBfgJWAvcA9x/GvVZgHpAP6AlsNws\n83ze2+vKVLduNKGhIacRVlEJCVU03KsakLbxTtrGt0C1z6FD8Pnn8MknsGaNURYRAbfeCnfdBb17\nW4iMDAPCAlL/aXE64b33YNw4SE3F0rIlPP88tQfcJtf5ignk35U/34Uu0Vo/pJQaAczSWk9RSi07\nzfqOAD+Zt1XboZTKBBxKqSitdS7QFDho/mvk8bqmwOqydn78eM5phnVSQkIcqakVfGv2GkLaxjtp\nG98qun08py2sWhWC210wbcG48fQNN5yctpCZWfGrLZRX7dv7Eb58Ge7oGCxTp5J6T5JxnS8tq6pD\nO6NUxPvGVwL1JwEWfB3pA4w1f444zVi+BWYppZ7H6AKNBZYA/YGPzP+/AX4B3lNK1cEYLXolxohQ\nIUSQOtOnLZQpN7dwMEtev1txNmpMzpjx1Gt3LsiXpyrhTwL8Syn1J5Cqtf5NKTUIOK3RmFrrA0qp\nuZw8m3sIWAPMUUrdD+wBZmut7UqppzGSoxuYVDAgRggRPOx2+N//Qpg3r+i0hbZtnSQmGpPUmzc/\ng5MeYMlIJ/qVF4mYP4/jP/yCu1ZtbHfcje2Ou6s6tKDnTwJMAi4AtpiPNwNfnW6FWuu3gbeLFfcs\nZbu5wNzTrUcIUT2VNW0hMdFBmzZn1rSFUjkcRH40m5jnn8V69CjOFi2x7tmD84ILqzoyYfInAV4M\nNDbP/qYCl2PM5VsV0MiEEEGjYNpCSopxD07PaQtG0rNz6aVnzrSFsoSt+J7YCWMI3fInrphYssZO\nInf4A1TJTUSFV/4kwNeBwUqpq4COGN2W04FugQxMCFHzFUxbSEk5s1ZbKBe3m5gXnyNk6xZy7x5E\n9tPjcDdsWNVRiVL489bK01pvU0oNx7gl2Z9KqWrQ/yCEOBMdPmxhwYJQkpPD2LDBSHoREcZqC/36\nOejRo2pWWygPS/pxwlb9QH6fm8BiIfPF18DplO7OM5w/CTBGKXUbxty9KUqpeIwRnEII4Zfjx+Gj\nj4wzvaLTFhwlpi1UKw4HkbNnEvPiNCwZGRxf8TNO1QZn2/OrOjLhB38S4DPAw8AzWusTSqmJwCsB\njUoIUe3l5MC334aSnBzKsmVgtxunddVm2kIZwr5falzn01txxcaR/a+JOFu1LvuF4ozhz63Qliul\nfse4jRnAZK21dIEKIUooWG2hYNpCTo4xauXCC+Gmm2zVYtpCmZxOag2+i4gl/8VttZI7cDDZT43F\n3aBBVUcmTpE/t0K7A5gC2IB2wBtKqfWyPJEQAk5OW5g3L5SFC4tOW+jf31ht4aqrYkhNza/iSCtI\nSAiuBo3I73I1WZOfw9nugqqOSJwmf7pAHwcuAhaZj58AVgCSAIUIUr5WWzCWGDqzVlsoF7udyNnv\nE77qB0588BFYLGRNewHCw+W+ndWcPwkwQ2udo5QCQGudq5SqIV/lhBCnorRpC7VqubnrLuNM78or\nq+G0BR/Cl31LzPgxhG77C1dcLay7d+FqfZZxt21R7fnzVk1TSt0LRCmlLgVup+hSRUKIGuzIEQvz\n5xedthAZaUxbSEx00L179Zu2UJYQvZXYCWMI/36pcZ3v3vvIfupfuOvXr+rQRAXyJwGOAJ4F4oD3\ngB8wbo8mhKihvK220K2bcf/NajttwR82G3X63Yg1LZX8q68la/I0mdZQQ/mTAK/QWo8KeCRCiCpV\ndNpCKHZ7NVttoTzsdkJ278J57j8gIoKsZ/8Pd2ws+T17yXW+GsyfBPiYUuo7cw0/IUQN4m3aQsFq\nC7fcYqdFixqa9ADcbsK/+4aYCf/CkpPDsZ/WQUwMtsTbqjoyUQn8SYDpwJ9KqfVA4eAXrfWggEUl\nhAgYf6YtVIvVFsopZMufxI5/hvCVy3FbreTdOxSL00ENTveiGH8S4NfmPyFENeVr2kJSkrHaQo2Z\ntlCW7GxiJ40lcs4HWFwu8rt2I2vSNJznta3qyEQl85kAlVJ1gd+BLVrr3MoJSQhRUQqmLSQnh7Jt\n28lpC3feaScx0V7jpi34JTKS0LVrcJ51NtmTp5Hf/Tq5zhekvL71lVL9gLeA/UCCUipRa72u0iIT\nQpyWw4eNaQspKUWnLdx0k7HaQk2ctuCT2034kv8Ssm8PucMegJAQTsz5FFfDRhAWVtXRiSrk67vf\naOBirfVhpdT5wP8BfSsnLCHEqUhPh6+/LrnaQlBMW/Ah5I/NxI4fQ/gPK3BHx5A34E7ctevgata8\nqkMTZwBfCTBfa30YQGv9h1IqCP98hDhzeU5b+P77UPLzT05bSEw0pi3Urx+cQzosqanEPD+VyI9m\nYXG5sHXvSfakabhr16nq0MQZxFcCLD4MrOYPCxPiDFfWtIUasdpCOVnS0oi/4lKsJzJw/EORPWmq\ncZ1PiGJ8JcAmSqmhHo8bez7WWs8MXFhCiALepi20bOkiMTF4pi345HZDdjbExuKuXx/bbbfjOOdc\n8gYNlet8witfCfBn4CqPx6s9HrsBSYBCBEhZqy0kJtq59NIgmbZQhpDNvxM7/hncUVGc+PhLALKe\ne6mKoxLVgdcEqLUeUpmBCCF8T1vo189Oly5BOG3BC8vffxPz/LNEfjQbi9uNref1kJsLUVFVHZqo\nJuRPSYgqdviwhQULSq62ELTTFsqSl0fUO28R/dpLWLMycag2ZE2ahr1bj6qOTFQzkgCFqAIF0xaS\nk0P58ceT0xauvdZB//52evcOzmkL/rBkZBD96osQEU7m/71M3qAhyGmxOB1lvmuUUpdorTdURjBC\n1GS+VltITHTQt28NXm2hnEJ/34glOxv75Z1xN2zIiVkf47joYtx16lZ1aKIa8+dr08tAt0AHIkRN\nZLfDihUhJCfLtIXTYTlyhJj/m0LkJx/ibNWa46vWQFgY9muurerQRA3gTwLcq5RagTEK1HM1iPGB\nCkqI6szlgl9+CSE5WaYtnLa8PKLe+Q/Rr76ENTsLR5vzyJr8nExpEBXKnwS4y/wnhPDC7Ybffzem\nLaSkhHLw4MlpC8OH59Ovn0xb8FfIjm3Uvj2RkL17cNWrR+aEKeTdc69c5xMVrsx3lNZ6klIqBlAY\n8/+01jon4JEJUQ3s3GkhOTmMr76CrVtjAGPawl13GWd6Xbo4CQmp4iCrC7cbLBacLVrhjokh54GH\nyHlstNy+TASMP4NgbsFYFWIfYAUaKaWGaa3/G+jghDgTlT5tAW66yU5iojFtISKiioOsRqxHDhM9\nbTLOs84m9+HHISyM40t/kO5OEXD+9CmMBi7UWqcCKKWaAHMBSYAiaHibttCtm4PERDsDB0Zhs+VV\ndZjVS24u0W+/SfRrL2PJycbe8TJyH3oUrFZJfqJS+JMA8wuSH4DW+qBSyhbAmIQ4I2RnG9MWUlKK\nTlu47DIH/foVXW2hVi1ITfW1N1HI7SbiqxRiJo8nZN9eXPXrkzV5Gnl3DzKSnxCVxJ8EmKWUehz4\nznzcC8gMXEhCVB1v0xbOP99Jv34ybaEihK5bQ61hg3GHh5Mz6hFyHnkcd63aVR2WCEL+JMD7gMnA\nPRiDYFabZULUCDJtoRIcPIj1aBauRo1xdOhE1thJ2PrejKv1WVUdmQhi/owC/RsYoZRqCLg8u0OF\nqK48V1uQaQsBlJND9FtvwBuvEnN9bzLf/gCA3H8+WsWBCeHfKNA7gNcwFsS1KKWcwCit9fxABydE\nRStttYW4OJm2UOHcbiJS5hIzZQIhB/ZDgwbYr5a7t4gziz9doM8AV2qtdwAopf4BfAlIAhTVwuHD\nFubPDyUlpeRqC4mJDrp1k9UWKlLIX5q4Rx4kbO2vxnW+fz5G9JQJ5NnkdFqcWfxJgIcLkh+A1vov\npZTcGUac0QqmLaSkhLJq1clpC927GwNZbrjBQWxsVUdZM7kjIwndvAlbn5vJmjAFV8tWRNeKg1QZ\nOyfOLP4kwM1KqX8DSzAmwncD9imlugForb8PYHxC+M3bagulTVsQFSgnh+j/vI798s7Yu1yNq0VL\njv28HlfTZlUdmRA++ZMALzX/v7BYeTuMUaGSAEWVsdth5coQ5s2TaQuVzuUiIvlLYp6dSMjBA+Rf\ncy0ZXa42npLkJ6oBf0aBlrhyrZTqr7WeF5iQhPBNpi1UvdC1vxI77mnC1q3FHRFB9iNPyMhOUe34\nMwq0BTAKqG8WRWB0g6MZIfMAACAASURBVEoCFJWmYNrCvHlhzJ9fdNrCsGH5JCbKtIXKEr5oIbWH\n3A1A3s2JZI+bhKtFyyqOSohT508X6IcY9/3sC0wHbgYGBjIoIQoUrLaQnBzK9u3GCE7P1RauvNIp\nq+RUhuxsCA+HsDDyu/XA1rsPOQ88hOPyK6o6MiFOmz8fHQ6t9f8ppXpprd9USr0PfAosDXBsIkgV\nTFtITg7jt9+KTlvo189YbUGmLVQSl4uIuZ8T8+xEckc9TO7wkRAVxYnZn1R1ZEKUmz8JMEop1Qxw\nKaXOAvYArQIalQg6x4+fnLZQ2moLvXs7iIur6iiDS+ivvxA77inCNqzHHRkJtvyqDkmICuVPAnwB\n6A68CPwGOIFyff1TSkUBm4EpwDKMbtaQ/2/vvsOjqrYGDv+mpMykkR56qJveUgBRREBRFBXw2rCC\nveK9VhQEVLChfnrtYlfEAmJB9IoNbJDQRHGrgChIQuikTv3+OJMhARJakpnMrPd5eEzOOTNnzXZm\nVvY5e+0NbAYu1FpXKKXGAOMxZqB5Tms982jOKYJP5WoLc+ZE8MUXFilbCBLmjX8Tc88koucat/nL\nR46m5K4peFq2CnBkQtStGhOgUqq51npT1SnPlFJJQJzWesdRnvcuYLvv56nAk1rrd5RS04CxSqlX\ngUlALuAAliql5mqttx/46URj4XDsXW1hwYK9ZQtdurgZNUrKFoKBddVKoue+h7N3H4qn3o+rb79A\nhyREvaitB/iTUup7YCbwgdbapbV2AUeV/JRSnYAuwMe+TYOAq3w/fwjcDGhgqdZ6l+8x3wIDfPtF\nI+PxwA8/VJYtRLBjh5H0Wrf2MHq0MZhFKSlbCBiPh6i3Z+E4YSje9HQcp5zKrlnv4jhhqKzPJ0Ja\nbQmwGTASuBz4r1LqTWCm1nrNUZ5zBkZZxcW+32O01pUL7G4BmgIZQNVVJyq31yox0Y7VevQzGaem\nys2mmhxq23i9sHw5vPkmvPUWbNpkbM/IgBtvhPPPh5wcMyZTFEZlTePXKN83ixfD+PGQnw9XXgnP\nPGNsP3d0nZ+qUbZPA5G2qVl9tk2NCVBrXY4x2nOWUqopMAZ4SylVArygtX7xcE+mlLoI+F5rvV4p\ndaBDaqriOqTqrh07Sg83pP2kpsZRJHMWHtChtM3atSb/EkPVyxac+622sHVrfUfccBrb+8b81wZi\n7rmb6HlzACgf9S9KrroRTz29hsbWPg1J2qZmddE2tSXQQ6qg0lpvBh5WSn0ETASeBA47AQKnAm2V\nUqcBLYAKjBXnbVrrMqA58I/vX0aVxzXHWIhXBKHNm/eutrBv2cKoUUbZQlRodPJCQtS7s4m76TpM\nFRU4s7IpnjodV07fQIclRIM7lJlgEoHzgEswrlXNBG44kpNprc+p8ryTgT+BY4DRwOu+/y4AfgRe\nUEo1AVwY9//GH8k5Rf04WNmCrLYQZLxeKqfJcfXsjSe9KSV33EXFyLPkPp8IW7WNAh2BkfSOBeYA\n12qtl9ZDDHcDryqlrsSoMXxFa+1USt2OsQKFF5hSOSBGBE5JCcyda2XuXFltoTGJ+P5bYibeQfH9\nD+PKzsXdoSPbf1yOrPwrwl1tPcCbMXp7F/guT9YprfXkKr+eeID97wLv1vV5xeFxOo2yhffei+DT\nT6GkxAbIaguNgfnP9cROnUTUR/MAiFz8Da7sXGOnJD8hah0Ec3xDBiKCR01lC23bwplnVnDmmbLa\nQjAz7dmN/bEZ2J59EpPDgTMrh+J778eVlRPo0IQIKjKNsACMW0Q//WRmzpzqqy2kpXm44gono0Y5\nOemkGLZulemwgp3t6f9if+JR3M1bUDJpKhVnjkaWyRBif5IAw1zNZQuO/coW5Ds0eFmX/oirTzZY\nLJRdfR1em52ycVeA3R7o0IQIWpIAw1BNZQtnnLF3tQUpW2gczOvXETtlIlHzP2TPo/+lfMxFeOPi\nKbteBk0LcTCSAMNEZdnCnDlWvvtub9nCkCF7V1uQsoXGw7R7F/ZHH8b23FOYnE6cuf1wdese6LCE\naFQkAYYwWW0hNEXNfZfYO2/FvHUr7patjPt8p4+Ua9RCHCZJgCGmatlC1dUWunbdu9pCixaS9Bo1\nlwtTaRklEyZReuW1YLMFOiIhGiVJgCFAVlsIbZZ1f2B/+AGK73sAb2ISFaPPxnH8YLxpaYEOTYhG\nTRJgI1VT2UJqqlG2MHKkkz59PHJVrBEz7dqJ/ZGHsL3wDCanE1ev3pRdcQ2YzZL8hKgDkgAbmdrK\nFkaNcjFggFsm+WjsXC6iX3+FmAfuxbxtG+5WrSm++14cp50e6MiECCmSABuByrKFOXMiWLlSyhZC\nXeytN2F7/RU8sXEU3zWFsiuuhujoQIclRMiRBBikpGwhvJi2bcObnAxA+SXjACi57S686emBDEuI\nkCYJMIiUlMCnnxoF6vuWLYwa5WLECClbCDWmnTuwz3gQ2ysz2fHJF7i7dsPVoxfFjzwR6NCECHmS\nAAPM4TDKFubMqV620K3b3tUWpGwhBLlcRL/yIjEPTcO8fTvuVpmYd+/CHei4hAgjkgADoLJs4b33\nrHz00d6yhcxMD6NGSdlCqIv4ciGxk+7Aqn817vNNnErZ5VfJfT4hGpgkwAZStWxh7lwrmzfvv9pC\n795SthAOoj6dj+U3TdmFlxj3+aSkQYiAkARYz9atM8oW5sypXrYwZozR05OyhdBn2rGd6LfepOyq\na8FkouSWCZSNuRh39x6BDk2IsCYJsB7IagsCAKeT6FdmEvPgNMw7d+Ju1RrHqSPwJifj9o34FEIE\njiTAOlJb2cLIkU6GD5eyhXASufAzYiZNwPr7b3ji4imefB+OoScFOiwhRBWSAI+ClC2IA4m79gqi\n33kLr9lM2cXjKLl1At7U1ECHJYTYhyRAn90Vu/hw7TyKTTuI9SYyot0ZxEcl7HdcTWULXbsaZQuj\nRknZQljy7B2168zpi7mggOJ7puPu0jWAQQkhamPyekPny7qoaM8RvZhH8x7i/5Y9QqmrxL/Nbo3h\nxj7/5qbsW2pcbcEoW3CGTdlCamocRUV7Ah1GcHE6sb30PLGzXqPow/9BbKyRDE0mWZ+vCnnv1Eza\npmZ10TapqXE1fhDDvgf4aN5DTF9yz37bS10lTF9yDwu/sPL3G3dVK1u48kpjtQUpWwhjXi+Rn39K\nzN13Yv3jd0hIwPrzalx9+4HZHOjohBCHIKwT4O6KXfzfskdqPWZJ5IPEOW9kzBiblC0IACy/riF2\n0h1EfvWFcZ/v0suwPTgdl1eG9grRmIR1Avxw7bxqlz0PKLKEO2e9wtielzZMUCK4eb3E3XQtEfl5\nOI4/geKp03F37oItJQ7kMpYQjUpYX6spLC04pOPu+u4/XDj/HP/vbo/M2BhWHA4ivv/W+Nlkovje\nB9j1+mx2vf0+7s5dAhubEOKIhXUPMN2ecWjHxWRgYu/NvpdWP89/l/8f2Rm5ZKXnkJ2RQ/eUnkRb\nZS7HkOL1EvnZAmLunoDl77/YsehH3G3b48rKCXRkQog6ENYJcES7M7hz8W21Xga1W2P45twfiInY\nW8Xu9LhweBx8sHYuH6ydC0CEOYKcjL7MPeNjTCYTbo8bs8mMSUbJNEqWX34mdtIEIr/5Eq/FQvkl\n4/A0SQx0WEKIOhTWCTA+KoEb+/z7gKNAK93Y59/ERcZX23Z1r+u4que1/LVnA/mFS8kvWEpe4RJM\nmPwJ793fZnPPD3eTlZ5DVnoOORm59EztjT3CXq+vSRwlj4fY2/9D9KsvYfJ4cAweSvGUabhVp0BH\nJoSoY2GdAAFuyr4FoNY6wAMxmUy0js+kdXwmozr8CwCPd28toMPjwGKy8Mn6j/hk/UcAWEwWuqf0\n4ONRnxNhiZBeYjAymzGVluJu156SqdNwDJHpy4QIVVII77PHsduYCYYdxGLMBLNvz+9I/FO8ibyC\nJeQVLiW/cClOt4PP/vU1APPXfcS/v7rO30vMzsild1qfOjlvfQjJgl2vl8gF84lc+D+KH3oUTCZM\nu3fhtdkhIuKQnyYk26YOSfvUTNqmZlII30DiIuM5v/OFdf5mbBbbnNPbj+T09iMBqPoHR5mrlNiI\nOP634VP+t+FTAEyY6JTUhY9H/4/YiFjcHjcmkwmzKawH7NYLy8+rjXq+RV/jtVopu+Jq3B0V3vj9\np8ATQoQeSYANrOrlztEdz2Z0x7MpLC0kv8DoIeYXLmVrWRGxvkE332/+lksXXECftCx/L7FPWhZN\nomVAxpEyFRURc/+9RL/xCiaPh4oTh1Ey+T7cHToGOjQhRAOSBBgE0u3pDG97GsPbngZU7yWWOEtI\njk7my78X8uXfC/3bOzTpyNwz55NmT8Pj9eD1erGYZYqag3I6STzpeCybNuJSnSieMg3n4KGBjkoI\nEQCSAINQ1V7isMxTGJZ5CtvKtrGs0BhtmleYx/qda0mxpQDwU9FKzpx3apVeYg590nP8+8Oe14t5\nSyGe9AyIiKB0/M3gdlN+0aVglY+AEOFKPv2NRLItmRMzT+bEzJMBo5dYmSh3OXbRPLY5izZ9zaJN\nX/sf0yahLbNPm0tmQhu8Xi8uj4sIy6EP7AgF1p9WEjPxDiwbN7J98RKIjqb84rGBDksIEQQkATZS\nVXuJA1sMYvF5S9lVsZNlhflGL7FgCT9vW02z2OYArN+9jhNmH0PP1N57Z7BJzyE95tBmw2lsTIWF\nxDxwL9FvvIrJ66Vi2CmY9uzBGy2z9QghDJIAQ0hCVBNOaDWEE1oNAar3EneUbyczvi0/bv6eHzZ/\n539My7hWvDZ8Nl2SjYVbnW5n4+4lOhzYnnkS+2MPYy7eg6tzF+M+36DBgY5MCBFkJAGGsKq9xKz0\nHL4+93uKHXtYtiXfP+p02ZZ8WsS2AGBL6RayXutK95SeZGXkkJNu9BSbxTZvPMX6ZjPR78yCqEj2\nTHqU8gsulvt8QogDkm+GMBMbGcfAFoMY2GIQUL2XuLWsCJXUmeVbjMuoz/IkABkxTZk57FWGpxqj\nJR1uB5GWyIDEfyDWVSuwrPmFinPOB6uV3S+8iicjA29Ck0CHJoQIYpIAw1zVnl2X5K58/q9vKHWW\nsrJouTF7jW+e0xaxLQGjLKPzi23olNS5ymoYubSKa93gvURzYQH2aVOJfusNiI7GMXQY3uRkmbdT\nCHFIJAGK/dgj7PRvNoD+zQYA1XuJRaVb6JrSjVVFK1lRtJwXfnoWgBRbKk8NfZ5BLY17bRXuCqIs\n9bRCelkZ9mefxP7YDEylJbg6d6X4nul4k5Pr53xCiJAkCVAcVNWeXWZCGz4Z/QXlrnJ+2rrStxpG\nHnmFS2ga0wwAl8dFl5fa0To+0z/aNDsjh7YJ7Y+6l2jauYPEIcdh+fsvPCkpFE+dRvmYi8AikwAI\nIQ6PJEBxRKKt0eRk9CUnoy/0NLZVzmCzrXwbnZO6sKpoBau3ruKVn2cCkBiVyIxBT3Bau9OBw+wl\nut1gseBtkogzJ5eKM0ZROv4/Mm+nEOKISQIUdaayd5duT+ejUZ/hcDv4Zdtq/2oYeYVLSY9JB4xk\nmfVaN5Kik8j2jTbNysihY6KqNvG3uWAzMfdNwVRayu6ZrwKw5+mZ0FhGpQohglaDJ0Cl1IPAcb5z\nTweWAq8BFmAzcKHWukIpNQYYD3iA57TWMxs6VnF0Ii2R9ErrQ6+0PlzGVdX27XHspkOTjizfks+v\n29fw+ppXAGNVjmnHPsg5rUdif/oJzE/OIHpPGa6u3aG4GGJjJfkJIepEgyZApdQJQDetdX+lVDKw\nHFgIPKm1fkcpNQ0Yq5R6FZgE5AIOYKlSaq7WentDxivqT3xUAnPP/BiXx8Wa7b+QV7DEdz9xKc1X\n/EbSeVlYNm2kw3gLJKWR1b4bWX/OJjsjl05JnbGa5eKFEOLoNPS3yDfAEt/PO4EYYBD4uwcfAjcD\nGliqtd4FoJT6Fhjg2y9CiNVspXtKD7qn9ODSbpdhLiwgKbcnuN3svOFGWnReTv62Fcz+bRazf5sF\ngN0aw8T+kxnX/UoAylxl2Ky2QL4MIUQj1KAJUGvtBkp8v44D5gPDtNYVvm1bgKZABlBU5aGV20UI\nMv+zCfO2rbi698STnsHuJ57B1aMXnsw2vA14vB5+26H9s9fkFS4hzZ7uf/yIucPYVbGTrPQccny1\niV2TuzfuKd2EEPUuINeRlFJnYCTAk4Dfq+yq6ebOId30SUy0Y7Ue/XD41NS4o36OUFWnbVNaCg89\nBA8+CK1bw6pVxrRl4y7a79D0tFyOU7n7bfd6vWQmtWLRhg3M+f0d5vz+DmCMUr37+Lu5/djbAShz\nlmGLqN9eorxvaiftUzNpm5rVZ9sEYhDMMOBO4GSt9S6lVLFSyqa1LgOaA//4/lVdpqA58MPBnnvH\njtKjji81NY6ioj1H/TyhqM7axuMhas47xNw7Gcs/m3CnpVNy1fVUbCsBs/mgD9/XC0Nex+v1sm7X\nHywtWEJ+YR75hUuxexL88Y58/1Q27P7Tv15iVnoO3VN71lmxvrxvaiftUzNpm5rVRdvUlkAbehBM\nAvAQMLTKgJbPgdHA677/LgB+BF5QSjUBXBj3/8Y3ZKyifpg3bST+souIyM/DGxVFyfibKbvhJryx\nR/dXnslkol2TDrRr0oFzO43Zb396TAZ6xxrmrZ3DvLVzAIg0R3J1r+u5s9/dgDHNm91qbzwTfwsh\njkpD9wDPAVKAt5VSldsuxkh2VwIbgFe01k6l1O3Ap4AXmFI5IEY0bp7kFMxbt1J+xihKJk7B06p1\ng5z3mRNn4vV62bD7T/99xLyCpaTZ0/zHXP35ZSwvzPfXJOak59IjtRf2CHuDxCiEaFimytk7QkFR\n0Z6jfjFyOaJmR9Q2JSXY//sYnpQUyscZozZNu3cF5QwuN381ns82fEJByWb/NqvZykVdLuX+gTOA\nmnuJ8r6pnbRPzaRtalZHl0BrvKQjxVSifng8RL0727jPV7AZV0dF+SWXGdOZBWHyA3h40GN4vY+y\nqXgjywrzWFq4hPyCpWTE7B2AfNs3/2bhhs/8q2BkpefQOz2LVGQQgxCNjSRAUeesS34kduJtRCxf\nhjc6mpJ/30LpdTc1igmrTSYTLeJa0iKuJae3H7nf/uToFGxWO59tWMBnGxYAYDaZOb/7+Txy7FOA\n0Uu0WW3VpnQTQgQfSYCiTllXrSDxtBMBKB85mpK7puBp2Sr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"text/plain": [ "" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "#@title Raoult's Law { run: \"auto\", vertical-output: true, form-width: \"500px\"}\n", "#@markdown Adjust the slider to set the liquid temperature.\n", "T = 55.6 #@param {type:\"slider\", min:30, max:80, step:0.2}\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "# compute partial pressures and total pressure\n", "xA = np.linspace(0,1)\n", "pA = xA*A.Psat(T)\n", "pB = (1-xA)*B.Psat(T)\n", "Pv = pA + pB\n", "\n", "# create plot\n", "plt.figure(figsize=(7,6))\n", "plt.plot(xA, Pv,'b')\n", "plt.plot(xA, pA,'r--')\n", "plt.plot(xA, pB,'g--')\n", "\n", "# mark pure component saturation pressures\n", "plt.plot(0, B.Psat(T), 'g.', ms=20)\n", "plt.plot(1, A.Psat(T), 'r.', ms=20)\n", "\n", "# annotate the plot\n", "plt.plot([0,1],[760,760],'k:', lw=0.5)\n", "plt.text(0, 780, '760 mmHg')\n", "plt.ylim(0, 1200)\n", "plt.xlabel('$x_A$ = Mole fraction ' + A.name)\n", "plt.ylabel('Vapor Pressure / mmHg')\n", "plt.title('Vapor Pressure of '+A.name+' / '+B.name+\n", " ' at {:.1f} deg C'.format(T))\n", "plt.legend(['$P$ Vapor Pressure',\n", " '$p_A$ partial pressure ' + A.name,\n", " '$p_B$ partial pressure ' + B.name])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "x4sLdxT0_7HQ" }, "source": [ "### Exercises\n", "\n", "1. Use the temperature slider to determine the approximate boiling point of pure acetone.\n", "2. What is the approximate boiling point of an acetone/ethanol mixture that is 35 mole% acetone? \n", "3. What is the corresponding vapor phase composition?" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "c82-H2WkFcQW" }, "source": [ "The dashed lines denote the partial presssures of $A$ and $B$. This information can be used compute the vapor phase composition\n", "\n", "\\begin{align*}\n", "y_A & = \\frac{p_A}{p_A + p_B} = \\frac{p_A}{P} \\\\\n", "\\end{align*}\n", "\n", "This information can be added to the plot by computing $y_A$ and then plotting coordinate pairs $(y_A, P)$.\n", "\n", "To read this diagram, start with a value of the liquid phase composition, $x_A$, look up to find the vapor pressure, then look right to find the vapor composition in equilibrium with the liquid phase.\n", "\n" ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "cellView": "both", "colab": { "base_uri": "https://localhost:8080/", "height": 427 }, "colab_type": "code", "executionInfo": { "elapsed": 531, "status": "ok", "timestamp": 1541104794951, "user": { "displayName": "", "photoUrl": "", "userId": "" }, "user_tz": 240 }, "id": "Fy8WE4bDt4oe", "outputId": "e2cc723e-6d76-46c5-d093-c400ed43d699" }, "outputs": [ { "data": { "image/png": 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JihUrcezYUb79djOlS5dBiCpX/z5q1AiWL1/6r+2MBPgdANu3b6NBg8coXrwE\n27Ztpnfv55g1axqxsbEA3H//f7BYLBQrVowiRYoQG3sZKQ/xwANRAJQsGYnNZuXKlVjuvrvqNckP\njFpp9er3AdCoURNat26bzvY2rlwxjlelirGPEiVKUrnynZjNZiIiSpCQEH9d8VSpUpX1679i2rTJ\nuFxOqlWrnmV5ZnRe1ardi9lsJjKy1NU4FMXfTp7UGDzYzkMPhbJsmY1KlbzMmZPEt98m0qpVgJOf\nb7o7j9lGv3Kf0K3CVhZsKEadOgX/Gb/sKHQ1wOzU2GbOzHoEhM6dXXTunP0JIatWrcb+/b/y2Wer\nmThx2tXl3333LY88Uofdu3/61zaVKlXmwoVozp07S1xcHLfddjsLFsyhZMlSvPbam/z++29Mn/4+\nAF7vP723jPe8Bmiknu/R5XJhMpmwWKz/OpbZbLpmH4Zrt3c6nVcntDWbzam2/efnlPWzG0/lyney\naNEKfvppB7NnT6d581b/iu3f0j+v9OJQFH85fVpjyhQbH35oxeXSqFTJy5AhybRu7cb87wak3JeY\nSNhz3XB2exaaNGPmYhMQTESE+mykUDXAXHLPPdWZO3cW9eo9evW+m8PhYOvWzTRt2jzDGsvDD9dh\nzpyZ1K1bH4DY2MuUK3crANu2bcXtNpoxDh7ch8fj4fLlyyQmJhAeHs7dd1dlz57dAJw7dxaTyURY\nWJF0j1OlSlX27NkFwPfff8eSJQvS3b5IkfS3Tyu78ezc+QNHjx6mXr0GPP98H6Q8dM1+Uu4NpnY9\n56UoOe3cOY1XXrFTq1YoCxfaKFtWZ9q0JLZvT6Bt27yR/LQrsZj/15rgzeuJm7YcgIgI45/yj0JX\nAwyU22+vgNVqpVOnrleXrVixlKSkRMaPf4djx47icCRjtwdds139+o/ywgvdWbRoBQBNmzbnrbdG\ns3XrJtq0ac+mTd+g6zqlS5fltdde5tSpE/Ts2QeTycRjj/2XvXt/pn//XrjdLoYOfYXTp0+lG1+j\nRk3Yvfsn+vXridlsYeTI14mIKH7N9m+88Ua2zze78QQHhzBhwjsEB4dgMpkYMGAov/12IFW5VUTK\n39m7dw8tWjwOcF3npSg55fx5jWnTbCxebCU5WeO227wMGpRMu3ZurP9uVAkYLSYG739bU/Lkr3yk\ndeD0k3N4JtBB5VFaQWoqio6Ou+mTiYwsQnR0XE6Ec41Jk8Zy99330KxZCwDOnj3LwoVzGDFiFAAL\nFsyhVq1HuOeeate973Xr1l7tNelP2S2b3IonL/HX+6agyM/lExOjMWOGjQULrCQladx6q5eBA510\n6ODKkfnxcrJsvMdP4W30BGVLJiXYAAAgAElEQVQuSxbZelBk6STqPZojuw6InCibyMgiGfa9VTVA\nPzt16iRDh75E9er3XU1+AKVLl76a/AC6d+8ZiPAURcnAxYswa5aNuXNtJCZqlCnj5fXXHTz9tAu7\nPdDR/dvly3Cq6as0uCyZHzGI6l+/TsVKgY4qb1M1wDTy8zdVf1NlkzFVNpnLT+Vz+TLMnm1jzhwb\n8fEat9ziZcAAJ506uQgKynr765VTZZOUBM80S6Itq2mxpjNFigbqocOco2qAiqIouSA2Fj74wMYH\nH9iIi9OIjPQyfLiDLl1cBAcHOrqMxazbTeniLoIfeph5nwUTHt4l4M8d5hcqASqKUqjFxcHcuTZm\nzbIRG6tRooTR1NmtmytPj4/pdsNHvX6gx9o22IrYubL3VyIiwgMdVr6iEqCiKIVSfDzMn29j5kwb\nly5pRETojBzpoHt3J2FhgY4uc+fPa3zY7htGH3oak6ZzdMRcShRVye96qQSoKEqhkpAACxdamTHD\nxoULJsLDdV5+2cHzzzvJ5mOuAfXTTya+7vQJ78d2x222c2HhCko0zcddPQNIJUBFUQqFpCRYvNjK\n1Kk2YmJMFC2qM2yYg549nRQtGujosmfjRjPrO3/KEm9XkoKKkfTxaiw1awU6rHxLJUBFUQq05GT4\n8ENj8Prz502EhekMHuzghRechOezVsOaNT2srP4IFxOiYM5UPNkYO1fJmEqAiqIUSA4HLFtmZcoU\nG2fOmAgN1RkwwEHv3s58NSSYlCZOnoDG1U4RXroM876JxMOW3J9JtwBSCVBRlALF6YQVK4wa36lT\nJkJCdPr3d9Cnj4sSJfLXc8+rVlkYPtTG++6+hId/RuyXG/BWqowxuLxys1QCVBSlQHC5YNUqK5Mm\n2ThxwkRQkE7v3k769XMSGZm/El9SErz6qp2VH2oss3ShvXs57luqo6tB33OUSoCKouRrbjd8/LGF\niRPt/P23Cbtdp2dPJ/37O7nllvyV+AAOH9bo0SOYI7+52FikHQ3ivsRVoyaxy1ejF8tHbbf5gF8T\noBCiGvAFMFlKOV0IUR5YCpiBM0BnKaVDCNEJGAB4gTlSyvlCCCuwCLgd8ADPSimP+jNeRVHyD48H\nPv3USHxHj5qw2XSee87Jiy86KVMm/yW+FK+/HsTx3xLZU7oVVc9+i7P+o8QuWg6hoYEOrcDx24A5\nQohQYBqwOdXiN4AZUsq6wGGgu2+9UUAjoAEwUAhRHHgauCylrAO8Dbzrr1gVRck/PB747DML9eqF\n0LdvMCdOaHTt6mTnzgTefdeRL5Ofb1pPACZMSGbh28eo4tyHo3krYj9cpZKfn/hzxDgH8D/gdKpl\nDYA1vp/XYiS9WsAuKWWslDIJ+B6oDTwGfOZbd5NvmaIohZTXC2vWWHj00RB69Qrm2DETnTs72bEj\ngfHjHZQrl/8SH8DevVC/fgjbtxsz6ZYurVP/+YpcWreZK3MXkSennigg/NYEKqV0A24hROrFoVJK\nh+/n80AZoDQQnWqdfy2XUnqFELoQwialdGZ0zIiIECyWm5+OOTJS3WjOiCqbjKmyydyNlo+uw+ef\nw+jRsH8/mM3w7LMwcqRGpUo2IAcm5QsArxemToXhw8HpNHPmx/NEfvACLFwIZcpA5P2BDjFP8Ofn\nKpCdYDLqx3u9y6+6dCnxxqPxyU/TtuQ2VTYZU2WTuRspH12HDRvMjBtn58ABMyaTTrt2bgYPdlCp\nklHbi47OYid51PnzGi++GMSWLRYiI2HhsD00ndQSzpwmbvFykp9T84NCjk2HlOHfcjsBxgshgn1N\nneUwmkdPY9T2UpQDdqRa/quvQ4yWWe1PUZSCQddh0yYj8f36qxlN03nySRdDhji444782cyZ2sGD\nJtq1CyYmxkTDhm4+Gr6P4k//F9OFC8S//rZKfrkotxPgJqAN8KHv//XATmCeEKIY4Ma41zcAKAq0\nAzYALYGtuRyroii5SNdh61Yj8e3ZY9zKePxxF0OGOBHCG+Dock6lSl7KldN56aVk+lTfRvF27dHj\n4oibOJXkzt0CHV6h4rcEKISIAiYCFQCXEKIt0AlYJIToBfwNLJZSuoQQL2MkOh0YI6WMFUJ8BDQW\nQmzH6FDTzV+xKooSOLoO331nZuxYO7t2GYmvRQsj8VWtWjAS3/79Jg4fNtG6tZvgYFi/PhFzcgLF\nHnwGEhOJ+2ABjifaBDrMQkfT9fzfpJAiOjrupk9G3cvJmCqbjKmyyVxG5fPDD2bGjrXx44/Gd/Gm\nTV0MHeqkevWCkfg8Hpgxw8bYsTYsFti1K4FSpf65TFm3baVYsJnomvUCGGXelUP3ADPsP6JGglEU\nJdft2GFm3Dgb27cbl6DGjd0MG+bgvvsKRuIDOH5co1+/IHbssFCqlJepU5MpVUrHtvYLXPXqo4cX\nw1X/UYgsAurLU0D48zlARVGUa+zaZXQAadUqhO3bLTRs6Gb9+gSWLUsqMMlP12HlSgsNGoSyY4eF\n5s1dbNuWSMOGHoJnTyf8uc4U6d870GEqqBqgoii54KefYMSIYLZsMS459eoZNb6aNQtG0ktr/Xrj\nPKdOTaJDBzcaOiHj3iV0wnt4Spch4dXRAY5QAZUAFUXxo337TIwbZ+ebbwAs1KnjZtgwJw895Al0\naDnu559NREV50TSYMMFBUpKD8uV18HoJHTWCkDmz8Nxegcsfr8F7e4VAh6ugEqCiKH5w4ICJ8eNt\nfP21FYC6dWHgwETq1Cl4ie/CBY2XX7bzxRdWli5NpEkTDyVL/tPRJWzoQIKXLsQtqhC7+gu8pcsE\nMFolNZUAFUXJMYcOGYnvyy+NxFejhofhwx20aRNCTEzBS35ffmlh+HA70dEmHnzQw513/rtJ11Wv\nPpbf9hO7bDV68RIBiFLJiEqAiqLcNClNTJhgY80aC7qu8cADHoYNc9CwoQdNA62ATWAeHa0xYoSd\nNWus2O06o0Yl07u3C3PKUMSJicZJBwfjePxJHC0e558/KnmFSoCKotyww4c1Jkyw89lnRuK7916j\nxteokafAJb3UVqywsmaNlQcf9DBlStI1Q7RpV2IJf7od3mLFuLJwGVitKvnlUSoBKopy3Y4e1Zg4\n0c4nn1jwejXuucdIfE2aFNzEd+6cRvHiOlYr9O7tpFQpL+3aua/JbVp0NOEdn8S6/1eSW6uRXfI6\n9RygoijZ9tdfGi+9FETt2qGsXm1FCC8LFiSxeXMiTZsWzOSn67BsmZU6dUKZPt2YeslqhY4dr01+\nptOnKPZ4U6z7fyWpS3fiZs4zVlTyLFUDVBQlSydOaLz/vo0VK6y43RpCeBgyxEnLlm5MBfhr9NGj\nGkOGBLF9u4WwMP2a3p2pmY8eJrzdE5hPHCex3wASXhtT8G58FkAqASqKkqFTp4zEt3y5FZdL4447\nPAwd6qRVK3eBvq3ldsPMmTYmTLCRnKzRpImbsWOTKVs2/QRo/fEHzCeOE//qaJJeHKSSXz6hEqCi\nKP9y9qzGlCk2li614nRqVKzoZciQZJ58smAnvhQ//mjmrbfslCzpZdq0ZFq1cmea05I7dcFdrTru\n+x7IvSCVm6YSoKIoV507pzFtmo3Fi604HBq33+5l8OBk2rZ1YyngV4u4OHA4NEqW1Klb18P48cm0\nauUiIiL99a3/9y32r9YQ/+4EMJlU8suHCvhbWlGU7IiO1pg+3caiRVaSkjTKl/cyaJCD9u1dBb4f\nh64bD7S/+qqdmjU9zJuXDEDXrq4Mt7F9/RVFn+8KQFLnZ/FUq54rsSo5SyVARSnELlzQmDHDyoIF\nNhITNcqV8zJggIOnnnJhswU6Ov87flxjxIggNm60YLfrVKnixesl04499tUrKfJib7AHEbt4uUp+\n+ZhKgIpSCF26BLNm2Zg710ZCgkbp0l5GjXLQqZMLuz3Q0fmf02mc/6RJNpKSNOrWdTNuXDKVK2c+\np3bQgrkUeXkw3vBixC5fjfvBWrkUseIPKgEqSiFy+TLMnm1jzhwb8fEapUp5GTHCQZcuLoKCAh1d\n7jl7VmPiRBthYTrjxyfTrl3mnVwArDt+MJJfyUgur/pc1fwKAJUAFaUQuHIF5syxMXu2jStXNEqW\n9DJ0qIOuXV2EhAQ6utxx5ozGhQsa1ap5ue02nUWLkoiK8hAenr3tXbUeJuHlkTgeb42n8p3+DVbJ\nFSoBKkoBFh8P8+bZmDnTxuXLGiVKGE2dzz7rIjQ00NHlDpcL5s61Mn68nVtv9bJlSyJWKzRsmI3Z\nKTwebOvX4fxfC9A0EgcN83/ASq5RCVBRCqD4eFiwwMbMmVYuXjQREaEzcqSD7t2dhIUFOrrc8+23\nZkaOtPPHH2aKF/fSq5cr+88xulwU6f8CQZ+uJm7SNJKf6erXWJXcpxKgohQgiYmwcKGVGTNsxMSY\nCA/XefllB88/76RIkUBHl3tiYjSGDLGzbp0VTdPp2tXJiBEOihfP5g6Skij6fFfs36zH9WAtHC0f\n92u8SmCoBKgoBUBSEixZYmXqVBvR0SaKFNEZMsRBr17ObN/jKkhCQ3UOHDBTq5abd95xUL36vyeq\nzYgWH0fRzh2xff8dzgYNiV24jELTXlzIqASoKPlYcjJ8+KGVKVNsnDtnIjRUZ9AgI/FlNIJJQaTr\n8PnnFhwOY5aG4GBYsyaRMmX06xqWU4u7QnjbVlj37sHR4nGuzJpHoXgupJBSCVBR8iGHA5Yvt/L+\n+zbOnDEREqLz4osOevd2UaJE5s+yFTR79ph47bUgdu0yU7KklyeecBMURIYDV2dGDw3DU7EyHnE3\ncZOmUeDHfyvk1KurKPmIywUrV1qZPNnGyZMmgoN1+vRx0revk8jIwpX4Tp/WePttO6tXG2O1tWjh\nYtQox409zxgfD2FhYDIRN/0DYyiYgjzPkwKoBKgo+YLbDatXW5g40c7x4yaCgnR69XLSr5+TW24p\nXIkPjHn6Hn00lKQkjWrVPLz1loNHHsnGYw3pMP8hCW//BIlDXjZ6eqpaX6GhXmlFycPcbvjkEwuT\nJtk5dsyEzabTo4eTF190Urp04Up8Ho/R2ScsDCpW1Gne3E2dOm46dLjxKZosv+4lvENrTBcvosXF\n5WzASp6nEqCi5EEej9GpY8IEO0eOmLBadbp1czJggPOG7m3ld1u3mhkzxs6993qZOjUZTYOZM5Nv\nap/WH7+naKf2aAnx6jm/QkolQEXJQ7xeWLPGwoQJNv74w4zFotO5s5OBA53cemvhS3wHD5p44w07\nW7da0DSd++7LeraG7LBt2kDR7p3B4yFuzkIcjz+ZMwEr+YpKgIqSB3i98NVXRuI7dMiM2azTqZNR\n47v99sKX+M6d03j3XRsrVljRdWO2htdfv77n+TKk6wQtWQjAlSUrcD7235vfp5IvqQSoKAGk6/D1\n1xbGj7dx8KAZk0mnQwcXgwY5qFix8CW+FAkJsGqVlSpVjLFLGzb0XNfzfJnSNK7MXoBFHsL9QFQO\n7VTJj1QCVJQA0HXYuNHMuHF29u0zo2k6bdu6GDzYkeWcdAVRUhLMnWujZk0PDz3koVIlnc8/TyQq\nynvDHVzSCp49HU/523E2bwkhISr5KSoBKkpu0nWjQ8fYsXb27jUSX+vWLgYPdnLXXTnQvJfPuN2w\nYoWV8eNtnD1romFDNytXJgFQs2YOlYeuEzLuHUInjsVzewUuNm5CoZjuXsmSSoCKkgt0HbZtM2p8\nu3cbVZpWrVwMGeKkSpXCl/i8XvjySwvvvWfj8GEzwcE6L73koF8/Z44fKPS1lwmZOxtPhYpcXv2F\nSn7KVSoBKoqfbd9uZuxYGzt3Gh+3Zs1cDBvm5J57Cl/iS7FokZWXXw7CbDZ6uQ4d6ofnGt1uigzq\nT9DKZbjvrkrsqs/x3lI6Z4+h5GsqASqKn/z4o5H4fvjB+Jg1bepi6FBnzvRkzId+/NFMjRoerFZo\n397FwYMm+vZ1UqmSf+55hkx4j6CVy3D9J4rYFZ+gR2R3LiSlsFAJUFFy2M6dZsaNs/Hdd8bHq1Ej\nN8OGObj//sKZ+HbtMjFxImzZEsKECcl06eIiLAwmTnT49bhJvfpgunCBhNFvoIcVoskQlWxTCVBR\ncsju3SbGjbPz7bfGx6pBAyPx1ahROBPfnj0mxo+3s3mzUR6PPebmgQdubLzO7NJiL2M+egT3A1Ho\nEcWJHz/Zr8dT8jeVABXlJu3da+L99+Hrr41JU+vWdTN0qJOHHvLvxT4ve+UVO/PmGZ1Natd28957\nFoRI8usxtehowju0xvzXMS5v/BZP5Tv9ejwl/1MJUFFu0P79Ro1vwwbjY/Tww26GD3fe8KwE+d25\nc9rVmSlq1PDw22/GF4HatT1ERhYhOtp/xzadOkl421ZYjhwmqetzeCpU8t/BlAJDJUBFuU4HD5oY\nP97GunXGPHQ1a7p5910L1aol5dxoJfnI3r0mJkyw8+OPZnbvjqd4cWjd2s2TT7pz5fjmI38S3u4J\nzCdPkNhvAAmvjaFQvhDKdVMJUFGy6dAhExMm2Fi71kh8UVEehg93UL++h1Kl/FvDyYt27DAzebKN\nrVuNy8hDD7m5dEmjeHE91/KP+beDFGvbClNMNAmvjCJxwJDcObBSIKgEqChZ+OMPExMn2vj8cwu6\nrvHAAx6GDcvh8SnzkaQkeOqp4KuPd9Sp42bgQCd16uR+eejFiqGHhBL33sskd38+dw+u5HsqASpK\nBo4c0Zgwwc6nnxqJr3p1o8bXuHHhS3y6bgxQHRYGwcFgt0PDhkbiq1UrAPc8k5MhKAhvmbJc3PYj\nhIbmfgxKvpdlAhRCLAXSPqnqBiQwQ0oZn92DCSHCgCVABGAHxgBngVm+Y+yTUvb2rTsUaOdbPkZK\nuS67x1GUm3HsmMakSXZWr7bg9Wrcc4+HYcOcNG3qLnSJz+OBdessTJ1qo1IlLx98YExCu3hxEkFB\ngYnJtu5Lwl4dRuzHXxg9PVXyU25QdqaVPA3cDvwC/AyUAy4BZTGS2fXoBkgp5aNAW2AK8D7wkpSy\nNhAuhGgmhKgIdATqAC2ASUKIHBoTXlHSd/y4xsCBdh55JJSPPrJy111e5s9PYvPmRJo1K1zJz+GA\nZcus1KkTynPPBbNvn3Gp8Pgqe4FKfvZVKyj6XGdMly5hOns2MEEoBUZ2mkDvAx6TUroBhBAzgE+l\nlK2EENuu83gxwL2+nyOAi0BFKeUu37K1QCOgDPC1lNIJRAsh/gaqAvuv83iKkqWTJzUmTzYmX3W7\nNe66y8PQoU5atnTf9Mzj+dH335vp3TuIs2dNWK06zzzjpG9fZ8CnaQqaP4ciI4bgDS9G7IqPcdeo\nGdB4lPwvOwmwNGDGaPZMcZsQwgoUvZ6DSSlXCiG6CSEOYyTAlsCMVKucx0h+F4DodJZnmgAjIkKw\nWG6+ohgZqYZNykhBKpuTJ+Gdd2DePHC54K67YPRo6NDBjNkcfN37y89lc+ECFC9uPD1QowY4nTBk\nCAwYoFGunA24+RkUbrh8dB3efRdefRVuuQXTN98Qce+9WW+Xj+Tn946/+bNsspMAVwN/CiF+ArxA\nFLAG6OL7P9uEEM8Ax6WUTYUQ9wGfAbGpVsmokSlbjU+XLiVeTzjpMh7Yjbvp/RREBaVszp7VmDrV\nxpIlVpxOjQoVvAwe7KBNGzcWC1y8eP37zK9lc/Soxgcf2Fi50sr8+Uk0auTBbodffvmnmTMnHu+4\nmfLRoqMpPmkS+q3ljft+ZSpCPizrjOTX905uyImyySyBZpkApZRvCyE+wmgKNQFvSin3CyHMUsrr\n7f5VG9jg2++vQohgwJrq7+Uw7jmeBkQ6yxXlhp0/rzFtmo3Fi60kJ2vcdpuXgQMdtG/vwmrNevuC\nZPduEzNm2Fi3zujhetttXhyOf75nBuoeX3r0yEgur/oCvXhxvOVuDXQ4SgGSYQIUQjRMs+iS7/9I\nIURDKeWWGzjeYaAW8IkQ4nYgDvhLCFFHSrkdeBKYBvwBDBJCjAZKYiTA327geIpCTIzGjBk2Fiyw\nkpSkceutRuLr0MFVKOdG7dEjiDVrjIx///0e+vZ10ry5UfvNM1wuQt8cTVLvfnjLlMVTvWA1eSp5\nQ2Zv+dfS/H4fRk9QDePRhBtJgB8AC3ydZyzACxiPQXwghDABO6WUmwCEEHOB//Mdq7eUsnAOqa/c\nsIsXYeZMG/Pm2UhM1Chb1suYMQ6eesqF3R7o6HJPYiIcOWK6Og/h/fd7SE7W6NPHycMP58FnGpOS\nKNqjC/aNG9BiLxM/ZWagI1IKKE3Xs9ezSwix1ff4Qp4VHR13093UVHt8xvJL2Vy+DLNn2/jgAxsJ\nCRq33OJlwAAnnTq5/Na0lxfL5vRpjQULrCxdasNm0/n55wRsNqNPSW4nveyWjxZ3haKdO2L7YTvO\nBg2JXbiswD/nlxffO3lFDt0DzPDdfj2dvAPbB1pRshAbC+PG2YiKCmPSJDshIToPPvg8VmtF2rQ5\nT1AQJCUlERVVjf79X7i63SefrCIqqhpff/3V1WXPPdeFGjX+aXY7ffoUUVHVGD361avL5s6dRVRU\nNXbu3HF1WevWzWnSpMHV3/fv30dUVDWmTJl4ddnYsW8TFVWNP//84+qy+vUf5qmn2lz9fdu2rURF\nVWPp0kVXlw0fPoioqGpcuHABAKfTSVRUNfr0+WcIsM8//4Rq1arRsuXX1KgRytSpdkwmnU6dXDid\nxjp5rsbno128QHiblth+2I6jxePELv2owCc/JbDyUqu/otyQuDiYO9fGrFk2YmM1wsLm0aqVh6lT\nn2bUKC+F6Xnpw4dNnD+vcf68hbvv9tKzp4snn3QRfP1PdeQuXSe8U3usv+wluWMn4iZNI2/dlFQK\nogybQIUQaSfUWgY8je+RBCnlUf+Gdv1UE6h/5bWyiY+H+fNtzJxp881C4KVvXxcLFtyFyQQ//3wg\n12IJVNlcvAjLltl44gkX5cvr6DoMH26nRQs3S5d2RtNgzpxFuR5XWtkpH+v332Hb9I0xnVEhGoEg\nr32u8hJ/N4Fm9hVrM0azZ+qNUzq+6ICacVIJiIQEWLjQyowZNi5cMFGsmM4rrzjo0cNJWBhUqzYl\n0CH63f79JubNs/HZZxaSkzUuXtQYPdqBpsG4cQ4ABg7cHeAos2b+8w+8kZHoxSJw1a6Lq3bdQIek\nFCIZJkApZcXcDERRspKYCIsXW5k2zUZMjImiRXWGDXPQs6eToqnGJHr00ccCF6SfrV1rYfZsG7t2\nGSMeVajgpXt3o2drWrlZA74Rll/2EN7xSTyV7uDymvWqyVPJddmZDaIsxsDV4aSqDUop3/BjXAHz\n7bffEhlZnkuXLhITYwyBUbnyHcTHx3PunHEzqUKFijidTk6fPgVA+fK3AXDixHEAypYth81m46+/\njgFwyy2lCQsL48iRwwCULBlJRERx/vxTAhARUZzIyFIcOfInHo+HokXDueWW0vz11zFcLidhYWGU\nKVOOEyf+Jjk5maCgIMqXv50zZ04RHx+P1WqjQoWKnDt3litXYjGbzVSufCfR0ee5dMkY1uTOO8VN\nn1NycnF+/nl/rp9TTEwsmzbZ+OyzasTERBMUFEP79i4GDqyM232R/fsD/zqFhlpwu01+eZ2uXIkn\nOto4p9Wrq7Brl85//vMXzZu7aNnyVkwmOHAgb7/3oqNP8Mcff109J9N327hryEtoDgdnmrfk7Inj\nhe7zlHJOxYqFYLcXLVDnlFOvU61aD+BPWT4GIYT4FdgDnEy9XEqZ9jnBgFP3AP0rt8vG4YAPP7Qy\nZYqNs2dNhIbq9Ozp5IUXnEREZLxdp07tAFi2bHUuRZrzZaPrxqDUixdbiYvTWLkyCTCGLgOoVCnr\nt/rZs2cAKF26TI7FdaNSl49t0waKdu8MHg9XZs3D2ap1gKMLLHXNyVgg7wGmuCClfPamIlCU6+B0\nwooVVt5/38apUyZCQnT69XPQt6+LEiWyvvAfP/53LkTpH5cvw0cfWVm82Mrhw0Yz5913e4iPNyaj\nzU7iS9G8eWMgbzWF2r/4lCK9e4DVSuzSlbgaNg50SEohlp0E+JkQohPwI6lmhJBSHvdbVEqh5HIZ\nF//Jk22cOGEiKEind28n/fo5iYzM/oX/u+9+8mOU/rNli5lu3YJJTtaw2XTatnXRtauLmjVvbLSW\n//2vRc4HeZN0kxk9LIwrS1bieuiRQIejFHLZSYD3Ap0wpihKoQO3+SUipdBxu+Hjjy1MmGDn+HET\ndrvR1Nm/v5Nbbim44y/Ex8MXX1hp08YYoeY///FQsaKX9u1ddOzozlZtNzNvvvleDkWaA9zGd2dn\ny8e5WK8+enixAAekKNlLgA8BEVJKh7+DUQoXjwc+/dRIfMeOmbDZdJ57zsmLLzopU+bGL/5Hjxo3\n3StVuiOnQs0xug5795r48EMrn31mJSFBw27XadvWTbFisG3bzU/plafoOiFj34ZD+2HuUrDZVPJT\n8ozsJMBdQBCgEqCSIzwe+OILCxMm2Dh82IzVqtO1q5MBA5yUK3fzNb527Z4A8ta9L7fbeIRj6VIr\nv/1m3Nu79VYvffs6qVPnemcVy5758+cA8NxzPf2y/yx5vYSOHE7IvA+gcmVMFy/gzQMdchQlRXYS\n4K0YUxYd4tp7gPX8FpVSIHm98OWXFsaPtyGlGYtFp3NnI/GVL59zTZ1t27bPsX3dDF2HpCQICQGz\nGZYssfLnnyZatHDxzDMu6tf3YDb77/gzZ04FApQA3W6KDOhL0KoVuO+uimXzJryWsNyPQ1EykZ0E\n+Lbfo1AKNK8X1q0zEt+hQ2bMZp2nnnIxcKCDChVy/h7fiBGjcnyf1+PcOY1Vq6wsX26lYUM3b79t\njNAydWoyZcrolCqVO/c1p0//IFeO8y8OB0V7dce+bi2u/0QRu+ITSpYpU6BmcVcKhuzMCL9NCHEv\naR6EV5Ss6Dps2GBm3Dg7Bw6YMZl02rd3MWiQ47q68+cHTqcxSsvKlVa2bDHj8Rj39rypZrG8777c\nndLy4Ydr5+rxUti+3QaCp+4AACAASURBVIJ93VqcdepxZckK9LAiAYlDUbKSnZFgvgCqA6dSLdYB\n1QSqpEvXYdMmI/H9+qsZTdN58kkXQ4Y4uOMO/ye+adPeB6B//wF+P1aKoUNh6lRjyoX77/fQsaMx\nC0OxQtjfw9mkGbELPsT5WGPy/jQUSmGWnSbQslJKNfC1kqX/Z++uw6O41gAO/9bihrvLYMFdirsX\nl+DalkKxQqEUSg1aarRI0CKFkmIFintxikunULS4xm3l/jEhUC6BJcnuzCbnfZ48l7WZr+dO8u05\nc875bDbYuVNJfMeOKTe32rSJZ8SIOCTJeb2fhQvnAo5LgA8fwqpVJk6fNvDddzEABAVBbGwcXbrE\nU6KEc3t6SWnXrhUAK1f+5vBz6e7dw3PBHKJGjgG9nrgWrRx+TkFIKXsS4FFJkvLLsnzF0cEIrslm\ngz17lMT3ZJPmFi3iGTkyTpVkMH/+4lQ/ZlwcbNtmJCTEyNatRuLidBiNNt5/X0fOnDYqVoR8+bQ1\nUTo09LFTzqP/9zr+HVpj/OcilqISsW3avfpDgqAB9iTAE8DfkiTdRpkFqgNsolcogLJf5ZQpbhw8\nqFxKTZrEM2pUHIGB6vWCypRJ3Q10//xTT7dunjx8qNSoK1ZMGeJs397stAktybFt2x6Hn8PwzwX8\n27fGcONfooa8R2zrNx1+TkFILfYkwNFAQ57bDFtI3w4eVBLfvn3KJdSokZlRo2KdPtHDEa5d07Fy\npYl+/eLw9QVJsuLjAx06xNGxYzylSlmTtTVZWmM4c5qAjm3Q379HxPiJRL87XO2QBOG12JMAT8my\nvNvhkQgu4cgRPVOmuLNnj3Lp1KtnZvToWMqX107ia9pUqQe4ceN2uz8TGgrr1pkICTFy4IDy35Y9\nu5UuXcz4+MCRI5Eul/TOnTsLQIkSJVP92PqbNwho2xxdWCjhU74mpne/VD+HIDiaPQnwtiRJO/n/\nzbDVXWwlONWxY3q+/RY2bfIGoHZtJfFVqqSdxPeEyWSy+72xsTBwoAfbtin39QBq1DDToUM8LVok\nXu4ul/wAgoI6AY7ZEceaIycxQb0wlyhJbPtOqX58QXAGuxJgwo+QDp08qWfqVHe2blUulVq1zIwa\nFUfVqo7Zvis1/PbbpiRfM5th714DOXPakCQr7u5w65aeQoWsvPmmmTffjE/VXWnU1K1bj1Q/puHc\nWSzFS4BOR+SENFkTW0hHXlkQ15WIgrip5/RpPV9+6camTUpvqlo1M599ZqRkSddrG5tNmciyapWJ\nNWuM3L+vJygojmnTlFmboaHg75+yc6SH68b9l5/xHfY2kWPGEz10xGt9Nj20T3KJtkmaFgriCunI\nuXN6vvrKjfXrlcRXqZKF99+PpVYtC1mz+nLvnsoB2uHoUaUeYMWKlZk508S8eW5cu6bM4MyUyUrv\n3spklidSmvzSA495s/EdOwprQADxNcUeGELaIBKgAIAsK4lv7Vol8VWoYGH06Fjq1EleMVa1nD+v\np2fPPnh4KPe+/v1Xz4MHOjp0iKddu3hq1bLwGrcIXdpXXyn1AEeOHJP8g9hseH37Fd6fT8aaJSuP\nQ9ZiccCkGkFQQ5IJUJKkX4HNwBZZlq86LyTBmS5c0DNtmhurVxux2XSULaskvvr1XSfxXbigZ80a\nI7/9ZkSWDWTLNpQBA+IAGD48jnHjYvHyUjlIFSxbtgRIQQK02fCe9CFeM77Hkicvj0PWYi1YKBUj\nFAR1vawH+DHQGJgrSVJWYA+wBdghy3KkM4ITHOfSJR3TprmzcqURq1VHqVLKUGejRq6T+NatU2oK\nnj+v7D7j7m6jWbN42rQZTOvWygzOlFZVd2U///xryg5gs6G/fw9zkaKEhqzFmjNX6gQmCBqRZAKU\nZfkUcAr4UpIkT6A2SkKcLEnSY1mW6zgnRCE1Xbmi4+uv3QkJMWKx6Che3MLo0XE0a2bWfOL7+289\np0/raddOSW5mM/zzj54mTeJp3dpM48bKmj1BIUnFkvdBqxX0etDrCf/2R3ThYdgyZEzd4ARBA+y6\nByjLcjSwKeEHSZJyOzIoIfVdu6bj22/dWL7chNmsQ5IsjBoVR4sWZvR6taN7MZsNzpzRs369kfXr\njVy4oFSPr18/goAAaNrUzLlzEfj5/fdzkyZ9CMBHH01WIWoXFx2NX/+exDVoTEyvvmA0iuQnpFnJ\nmgQjy7LYFs1F3Lih45tv3Fi2zER8vI7ChZXE16qV2aHVyFPq4EEDQ4Z4cPWqkp09PGw0baosTndz\nI+E55ed5v/22GhAJsG5dpR7gzp377Hq/LjwMv6DOuO3/A6xWYnr0RrPfjgQhFYhZoGnUrVs6vvvO\njSVLTMTF6ShQwMrIkTG8+ab2Ep/FAocPG9iyxci4cbEYjZAzp5X793W0aaMkvXr17B/eXLPmd8cG\n7CKyZMli93t1Dx7g3+VNTCeOE9OqLeEz5ojkJ6R5diVASZIyAQVkWT4qSZJelmXt7X8lAHDnjo7p\n09346ScTsbE68uZVEl/79maMGvq6ExUFu3cb2bTJyJYtBh48UP7Y1q1r5o03LOTNa0OWIxJ7e68j\nT568qRyta1qxYo1d79PfvqWUM5L/IrprEBHTvkdz35IEwQHsqQjfBWVGaCxQCpguSdIxWZbnOTo4\nwX737imJb+FCEzExOvLksTJ8eCwdO8Zrbt3bpUs66tb1JjpamXWTNauVHj2UiTjPbrGWnOQnvD6v\nr6ZglP8iauBbRE76TPT8hHTDnj7BcKAMsCHh8UhgFyASoAY8eKDjxx9NzJ/vRlSUjpw5rbz3Xixd\nusRrIoFcvapj0yYjGzcamTIlFkmykj+/jXLlLFSsaKFpUzPlyllT9W9ulSplATh06ETqHdQF/fGH\nUg+w5it2bomY/DnxFSsR26mra+76LQjJZE8CDJVlOUqSJECZESpJUpxjwxJe5dEjmDnTjTlz3IiM\n1JE9u5UPP4yle/d43N3Vi8tqVTbQ3rzZyObNRs6eVYbSdDobf/6pR5KUZLdmTbTDYiheXOxUAjB0\n6FvAi6tBGE8cQ3/jBnHNW4KnJ7Gduzk7PEFQnT0J8L4kST0BT0mSygOdABfYETJtevwYZs1yIzjY\njYgIHVmzWhk7NpYePeJfOCPSGSITtkXw9lbKC7Vp40V0tA43NxsNGphp2tRMo0ZmsmVzzqL0hQuX\nOuU8WjdkyHsvfN60/w/8undCZ47n4ZFTWLNld3JkgqAN9iTAQcAngC8wF9gLiOqXThYWBsHBbsya\n5UZYmI7Mma2MGhVLz57xqmzzdf26jq1bjWzZYmTfPgNffBFLt27xeHrC+PGx5Mhho04dsTBdTb16\n9f2/59y2bsKvbw+wWAibNU8kPyFdsycBVpNl+R2HRyK8UEQEzJnjxsyZbjx+rCNTJisTJsTSu3c8\n3t7OjcVmgy++cGPjRmPi9mMAJUpY8PB42rvr3z/+RR93mi1bNgLQqFFTVePQGvfVv+L79gAwmQhd\nvJz4eg3VDkkQVGXXJBhJkrbKsmx+9VuF1BIRAfPnuzFjhomHD/VkyGBj/PhY+vSJc1qv6uFD2LnT\nSMGCVsqVs6LTwZ49Ri5d0lO/vjKs2bChmdy5tbXf5tixowCRAD/4QGmHzz77Erff1+M7qC82H19C\nl4ZgrlpN5egEQX32JMDHwDlJko4BiZNfZFlO/XLTAlFRsGCBiR9/dOP+fT3+/jbGjImlf/84fH0d\ne+4nE1i2bzeyfbuRY8f02Gw6goLiKFdOKR77ww/RZMtmc3rv83W8//44tUPQhM2blZ7wZ599SXyN\nmsTXqkPkhEmYS5dVOTJB0AZ7EuD6hB/BgaKjYdEiE99/78a9e3p8fW2MGhXLwIFx/7fXZWqy2Z7O\nfG/Z0osjR5ShTYPBRuXKFho0sNCo0dPOf8GC2urtvUjHjl3UDkETNv6+Hf31awDY/AMI/XWtyhEJ\ngrbYkwD3OjyKdCwmBpYsMfHdd27cuaPHx8fG8OGxDBoUR0BA6p/PaoVTp5728mrVMjN2rNKxr1fP\nTOHCVurXN1O7tllUSndlVisFv/0Sj2VLebx6PeZyFdSOSBA0x54EuB2wATrADcgCnAXKOTCuNC82\nFn7+WUl8N2/q8fKyMXRoLIMHx5HRAZvvr1tnZN06I3v2GHj4UFl1bjDYkKSnC59HjEgbyzuHDXsb\ngG+//VHlSFRiNuM77G1MK5YRV6wElpyieIsgvMgrE6AsywWefSxJUkng/+dXC3aJj4fly018840b\n//6rJL533onlrbfiyZw5dYYXIyOVagpublCrlrK12MaNRtasMZEzp5WuXeOoW9dC7dpmh/Qy1bZ3\n7261Q1BPbCx+A3rjvnE9+d3csIaH8me2bGpHJQia9NrbI8uyfFaSpGSPp0iS1A0YDZiBCShFdxcD\nBuAWECTLcmzC+4YBViDY1fcejY+HkBAjX3/tzrVrejw8bAwaFMc778SRNWvKEp/VCmfP6tm508ju\n3QYOHTIQF6ejVi0ztWopO64MGxbHsGFxFCliTfO7Xe3efVDtENQRGYl/z6647dlJXK3aVAjIACYN\n7YAuCBpjz2bYHz/3VF4gWf2GhKoSHwEVAB9gEtAe+FGW5RBJkj4D+kiStAglOVZGmXl6RJKk1bIs\nP0zOedVkNsPKlUamTXPnyhU97u42+veP491341K0M0psLIlbnr31lgerVj3d8Tow0EKdOmbq13+6\nsXTRoumngIdPOl19r48Ix3D1MrFNmhEWvJBZam0NJAguwp6vh5Zn/m0DTgDJnWfeANgmy3I4EA4M\nkCTpMspuMwDrUDbbloEjsiyHAkiStA+okfC6S7BYYPVqJfH9848ek8lGr15KLyxnztdPfA8fwr59\nyj28vXuNlCxpYd68GADq1DFjMin/+8YbFrJk0f5MTUcKDw8DwNfXgdNntSRhKq81W3Yer9uMNVNm\nNFcCRBA0yJ57gJMkSfKVZTlckqRsQFGUocrkyA94SZL0G5ABmAh4y7Icm/D6XSAHkJ3/7jf65HnN\ns1rht9+MfPmlGxcuGDAabfTooSS+5CwYX7jQxOLFJs6cUdbkAfj42KhU6el7Onc207mz2KfgiTp1\nqgMv3gQ6rdFfv4bfoL6Ef/MDlqIS1uxPf03WrVPqAbZs2Uat8ARB0+wZAp0OnJAkaTWwHzgKdAcG\nJuN8OiAT0BbIB+xMeO7Z15P63CtlyOCF0ZjyQp5Zsrz+inOrFVatgokT4exZpZ5o374wfryO/Pnd\nUCbQJi0+Hg4fhu3blU2lR4xQno+IAFmGOnWgfn3lp2JFHUajCXD+t/zktI2zNWnSGHB+rE5vG1mG\nNk3h+nUy7tsBNSr+5+WPP/4QgD59gpwbVxJc4dpRi2ibpDmybewZAi0ny/IQSZIGAQtlWZ4sSdL2\nZJ7vDrA/YVu1fyRJCgfMkiR5yrIcDeQCbib8PLtLby7glTMbHj2KSmZYT2XJ4su9e+F2v99mU2ZY\nTp3qxrlzBvR6G507m3nvvVgKFFB6fPeSqJ1x9qyyHm//fmXiSmSkkufz57fSo4dSYiEoSEmknp5P\nP/foUfL+21LqddtGLZ9+Og3AqbE6u20Mp08R0KkN+vv3iRg/iejeg+G580+YMBlwbjskxVWuHTWI\ntklaarTNyxKoPQnwSe+rBTA+4d/JrTi3BVgoSdIUlCFQH2Az0A5YkvC/m4BDwFxJkgJQZovWQJkR\nqhk2G2zZYmDqVHdOn1YSX/v28YwYEUuhQv8/1Gk2K9uMRUXpEpcmLFtmIjhY6RkWKWKhZk0Lb7xh\noUaNp8OZYjG68DzjoYP4d+uALjyM8KnfEPOCqg8ghj4F4VXsSYB/S5J0Drgny/IJSZJ6AMmajSnL\n8g1Jkn7laW9uCHAEWCRJ0kDgKvCTLMvxkiSNQUmONmDSkwkxarPZYPt2JfGdOGFAp7Px5pvxjBih\nLDF4wmxWdlzZt0/p4R08qPTwSpe2sG2b0lPt1CmeihUtVKtmcVqtvPRg+XKlHmDntFjkNT4ev7cH\noIuMIHzGHGLbdVQ7IkFwWTqb7eV/eCVJMgCBwPmE9XnlgUuyLD92RoCv49698BRnkaS63DYb7Nql\nJL4//1TuM7ZqFc/IkXEUK2YlPh4ePtQlJrIRI9xZvPjpfb/ChS1Ur26hVi0LrVu75oQVVxmqqVCh\nFODcSTDObBvDmdMYbvxLXOOXV7sYNKgPALNmzXdGWC/lKteOGkTbJC2VhkCTnENiTw+wLJAjoff3\nKVAVZS3fHymKykXYbLB3r4GpU904fFhprubN43nnnTiionSsW2dk3DgDf/5poHx5C6tWKQvPGzY0\no9NBjRpK4hM9POeZOvVrtUNIde5rVhJfqQrWXLmxlArEUirwlZ85cuSwEyITBNdlTwL8HuglSVIt\noBLKsOUPQD1HBqYF+/cbmDLFjQMHlGZq0iSeUaPiWLvWSMuWXpjNT79YFCtmoVSpp0OgTZpYaNLE\n8n/HFByvfv1GaoeQqjzmzsL3g9HEV6zM4w1bsXcrn8OHTzo4MkFwbfYkwBhZli9IkjQAZUuyc5Ik\npeltRQ4dMjB58tMen7e3jbJlLSxapCw8P3zYRunSVqpUsVCtmpnKlS0O2cBaSOdsNry++RLvLz7B\nkjUb4V99Z3fyAzAYUr4kSBDSMnsSoLckSR1Q1u5NliQpI8oMzjTn/n0dlZr+xdU7j+HfqonPW62Q\nKdPTIcy+fePp2zdejRAFO/To0RmARYuWqxxJCthseE8cj9fM6Vjy5OVxyFqsBQu91iHu3r0LQNas\nWR0RoSC4PHsS4FhgKDBWluUwSZImAmnvJgvKMoWr+SZDy5/xflyJRn6D6V2lDRXKGsXOUi7k4sUL\naoeQYt4TPsBr9o+YixQlNGQt1py5XvsYTZsqdynSw444gpAc9myFtlOSpNMo25gBfCzLcpocAq1f\n38KKQv2Zfy6UzVd+ZzV92H/2A3rp+tKjRB+yeGVRO0TBDvv3/6l2CCkW16wFphPHCF2wFFvmzMk6\nRuNXzBIVhPTOnmUQnYHJQKwsy6UkSfoROKbF8kSpuQziSuhl5p0J5ufziwmPC2NwmSFMqvFpaoTp\nssR07aSlSttERaGLi8UWkHCHIWGT67RAXDtJE22TNEcvg9Db8fkRQBmebk49EhiQoohcQH7/Akyu\n8Tkne/7F57W+ok9gfwBsNhtDtg/it4urMVtdcz1fWnflymWuXLmsdhivRRcehn+Xdvh3aosuIuEX\nPo0kP0HQKnsSYKgsy4mbbCbs2RnnuJC0xcfkQ9/AAeTzyw/A6fsn+UX+mX5belJpSWm+P/YNj2Jc\nrkxhmtauXUvatWupdhh20z14gP+bLXE7sA9LnnzY3JK70+B/LVw4j4ULNTdQIwiaYU8CvC9JUk/A\nU5Kk8gn7eCaxvXPaVzpLWfZ1OUrvUv14FPOITw5+RNlFxRmx612RCDWibdv2tG3bXu0w7KK/dZOA\n1k0wnTxOdPeehM+eD24vrxxir+nTv2H69G9S5ViCkBbZcw8wAPgEqAvEAntR9ubU3F97R26F9iKh\nsY/5+fwS5p2eTYwlhmNBZ3EzuBFricWkN6HX2fP9wnWIexVJS07b6C9fIqBDawzXrhI16B0iJ32a\nqsOef/yxB4CaNd9ItWMml7h2kibaJmla2AqtmizL76QogjTK3z2AwWXfYUDpwVwJu4SbQfnmHnxq\nJovPLqBv4AC6FOuOn7so6SD8P+PFv9Hf+JfI0R8QNeL9VL/np4XEJwhaZk8XZbgkSfYkynTLoDdQ\nKKBI4uPIuHBuR97iw31jKbOoOGP3juSfx66/Ns1VzJgxnRkzpqsdxivFNWzCoz2HiBo5Rkx4EQQV\n2DMEGoIyC/QYz0x+kWW5h2NDe33OHgJ9mQfRD1hybiHzz8zhVuRNAIZXGMWYKh+m+NhqcZWhGi1X\ngzDt24vn/DmEzZgD7qkz2SUpHTsq9QBXrFjj0PPYw1WuHTWItkmaFoZA1yf8CK8hk2cmhlYYwVtl\n3+X3y+uYc2oW5bJVTHx957XtVMpRBR+Tj4pRpk1z5ixUO4QXctu6Cb++PcBiwXjiOOYqVV/9oRS4\ndy/dzlUTBLu8tAcoSVIGoABKLcBop0WVTFrqAb6IzWZDp9NxK+ImFZaUwsvoTbfiPegT2D9xmYWW\niW+qSXtV27ivCsH3nYFgMhG6YCnx9Ro4MTr1iWsnaaJtkqbaQnhJktoC54Fg4C9JkiqkKAoBXcJ9\nHg+jB+9VGIW7wZ2ZJ6dTZWlZem7syr4be3nVkLTgejx+mo/v4H7YvLx5vGJtukt+gqBVL5sEMwoo\nK8tyRaAZMNEpEaUDGTwyMqrSWI71OMuP9YMJzFyGjZfX0+63ltyMuKF2eC6vRYtGtGihjZqAhnNn\n8R01DFumTDxevcHhw57PkuW/kOW/nHY+QXA1L7sHGCfL8m0AWZbPSpLk66SY0g13gzsdpM60L9qJ\nI7cP8+edI+TyzQ3Avht72XV9B71L9SOnz+tXAhC0wVKiJOHTvie+Wg0shYu8+gOpqGtXZTMAUQ1C\nEF7sZQnw+YoPabIChBbodDoq56hC5RxVEp9beGYea/9ZxQ/Hv6Vlodb0CxxMpeyVE4dRhaStX79F\n3QCsVtxXLCO2Q2cwGIgJ6qVKGF26dFflvILgKl6WAHNKktTnmcc5nn0sy/J8x4UlfF9/JrXz1GXO\nqZmsubiKNRdXUTZLOYZVGEWzgi3UDk9IitmM77uD8fj1FyJv3yJq2EjVQhk5coxq5xYEV/Cye4AH\ngFrP/Bx85t81HR9a+uZp9KR7iZ7s6nSAVa3X06RAc07eO8FfD88lvifeIqrSv8ixY0c5duyo808c\nE4Nf3x54/PoL8RUqEd2rr/NjEATBbkn2AGVZ7u3MQIQX0+l01Mz1BjVzvcHVsCv4ufkBSvKrsawi\nlXNUpX/gIMpkLadypNrRv38vwMn3viIi8O/WEbe9u4irVYfQn34GH3XXeH799VQAhg8frWocgqBV\nYoszF/LsWsEbEf9i1BtZIS9jhbyMytmrMqD0YJoVbIlRn77/b+3bd6BzTxgTA61b43bgALFNmhMW\nvAA8PJwbwwssXboIEAlQEJKSvv9SurD8/gX4o8sRdl3fzpxTs9h+bSuHbx8kp3cu1rbd6BIL6x3l\nrbeGOPeEHh7wxhvE5MpL+HczwGRy7vmTsHjxL2qHIAia9soEKElSOVmWjzsjGOH16HV66uVtSL28\nDbn46ALzzszmyO3D5PHNC8DdqLs8iL5P8UwlVI40bdI9fIAtQ0ZlI+vPPyf8bhjotVMCq0SJkmqH\nIAiaZs9v6zSHRyGkWOEMRfi81ldsab8rsQ7hnFMzqf1LVdqtbcmmy79jsVpUjtI5PvlkIp98MtGh\n5zBc+JsM9WriNeVT5QmdTlPJTxCEV7NnCPSaJEm7UGaBPlsNYoKjghKS79kivNVy1uDYnaPsvbGb\nvTd2k88vP30DB9C1WFCarlG4evWvAIwfP9EhxzeePol/p7bo79/H5uXtkHOkhgYNlHqA27btUTkS\nQdAmexLg5YQfwcXUy9uAenkbcO7BWeaemsWvf//ChH0fcOLucWY1nKd2eA6zcuU6hx3beOgg/t06\noAsPI/zLb4np2efVH1KJv3+A2iEIgqa9sh4ggCRJ3oAE2ABZluUoRweWHFqvBqG2hzEPWHLuJ2rk\nqkWFbJUAmHL4Uyplr0KdPPX+03t8kbTcNvYw7dyOf+9uEBtL+A+ziW3XMfG19N42ryLaJ2mibZKm\nej1ASZLaADOB6yj3DLNLktRfluWNKYpKcLqMHpl4t/zwxMfXwq4y7egUAIoEFKVv6YF0lLqIGoVJ\ncN+wDiwWwhb+TFzjpmqHIwhCCtlz134UUFqW5coJlSEqA65b1lxIlNcvH1vb76aj1IWrYVcYs2cE\nZX8qzoR9H3A/+r7a4SVb9eoVqF499at3RXzxFY827nCZ5HfgwD4OHNindhiCoFn2JMA4WZYTS0vL\nsnwTiHVcSIIzlclajh/qz+ZYj3OMqjQWd4M7C8/MRYcOm82G1WZ1uRqFhQsXoXAqVV7wDJ6Bx7xg\n5YHRiKVUYKoc1xneeWcg77zj5E0BBMGF2DMJJkKSpBHA1oTHTQAxYJ3GZPXKyqhKYxlafgQn7x0n\nk2cmANZcWMl3x76mf+AgBlbX7oSPZy1atDzlB7HZ8Jo2Be+pn2HJnoPYTl2w+bhWRbC33npX7RAE\nQdPsSYB9gY+B7iiTYA4mPCekQW4GNyplf1qW6Z/HF/n70V+8t+sdPjn0Ed2L90r7NQptNrw/GofX\nrB+w5M3H45C1Lpf8APr2HaB2CIKgaXbNAgWQJCkbYH12OFRrxCxQx7gZcYOFZ+ax+PwCHkQ/wKAz\nMLjsECZU+1jt0F5o+3alHmD9+smoCm+x4DNyKJ5LF2EuKhEashZrjpyv/Ji4bl5OtE/SRNskzdGz\nQF95D1CSpM6SJN0GjgOnJEn6N2FmqJBO5PTJxQdVJ3D9vet8W/dHpIzFyeWTO/H10/dOEmvRzm3h\n0aOHM3r08Fe/8QU8g2fiuXQR8WXK8XjtJruSn1Z9+OEYPvxQ1AQUhKTYMwQ6Fqghy/I/AJIkFQVC\ngDWODEzQHk+TJ12LB9GlWHcsNmVbtcj4SNr91hKT3o1epfrSo2QfsnllUzXOUaPGJvuz0b37ob97\nh6j3RmLzc+3dcn7/fT0Akyd/oXIkgqBN9swCvf0k+QHIsvw3YmeYdE2n0yWWXIq3xNGlWBCxlli+\nPPI5FRaV5O1tAzh5V7390zt37kbnzt3sfr8uLBTTzu3KAw8PIj+a7PLJD2DDhq1s2LD11W8UhHTq\nlfcAJUmahtJT3IySMOsBJmA1gCzLOxwco93EPUDHelnbRMRHsEJexrxTs7nw+G8Atnf8g8DMpZ0Z\n4mvT3b+Pf+c3MZ47w+Pft2EuWz5ZxxHXzcuJ9kmaaJukqb4TDPDkL8Lzf8lKocwK1UwCFNTjY/Kh\nT6n+9CrZl93XL6d7UwAAIABJREFUd7Lj2lZKZVLWzF149De/X1pHUMleZPTI5PBYRoxQpv9Pm/b9\nS9+nv3UT//atMF74m+juPTEHlnF4bIIgaMcrE6Asy3Wff06SpHayLK90TEiCK9Pr9NTNW5+6eesn\nPjf/TDDzTgcz7egU2hftRL/SgyiRyXG16nbtevV3Mv3lSwR0aI3h2lWiBr1D5KRPlZJGaUiFCqUA\n+PPPMypHIgjaZM9eoHmBd4DMCU+5owyDigQo2GVs5Q/J71eAuadns+T8Tyw5/xM1c73BW2WH0CBf\n41Q/365d+1/6uuHC3/i3bY7h7h0iR39A1Ij301zyA6hQoaLaIQiCptkzBLoY2Ai0BH4AWgNBjgxK\nSFv83P0ZWOZt+gUOYtu1LQSfmsnef3dRwL9QYgK02WzoUikJ+fr6vfR1a7ZsWHPkJHrocKL7D06V\nc2pRcPBCtUMQBE2zJwGaZVn+QpKkJrIs/yhJ0jxgGbDNwbEJaYxBb6Bx/qY0zt+U8w/O4W16Wky2\n/brWFAkoQr/AQRTOkLJ9PCMiIgDw8flvVQtdRDg2H19sfv483rAV3NxSdB5BEFybPcsgPCVJyg1Y\nJUkqCMQD+R0alZDmFc9Ugrx++QC4F3WPS48vMv/MHKovq0Dn9W+y/eoWrDZrso5du3ZVateu+p/n\n3DZvJGPFQIxHDiU8kfaT3/r1v7F+/W9qhyEImmVPD3AqUB/4EjgBWICfU3JSSZI8gTPAZGA7yjCr\nAbgFBMmyHCtJUjdgGGAFgmVZTrslzNO5LF5ZONL9FBsvryf41Ex2XNvGjmvbKBRQmPmNl1A8U4nX\nOl6tWrX/89h9VQi+7wwEkwldQu8wPfjoow8AaNGilcqRCII2JbkOUJKkXLIs33juOSPgK8vyo5Sc\nVJKkT4FGwI9AbeB3WZZDJEn6DKXw7iLgGErtwTjgCPCGLMsPX3ZcsQ7QsZzVNqfunWDOqVnsuLaN\nw91P4m3yJio+irtRd8jvX+C1juXx03x8Rr+HzdeP0KUhmKtUffWHkkGL182aNco8tTZt2qkciTbb\nRytE2yRNzXWApyVJOgDMA36TZdksy7IZSGnyKwaUADYkPFUHGJTw73XASEAGjsiyHJrwmX1AjYTX\nhTSudJayTK8/ixhzDB5GDwBWyMt4f89wGudvSv/Sg6mZ641XTprxnP4tPpMnYM2cmce/rMESqO1F\n+alNC4lPELTsZQkwJ9AW6A/8IEnSz8A8WZbPp/Cc01CWVfRMeOwty/KTnZTvAjmA7MCzVSeePP9S\nGTJ4YTQaUhie8q1DeDHnts3Tc5XMXZRKuSqx6crvbLryO4FZA3m3yrt0C+yGp8nzP59avHgxxMQQ\ntGwR5MmDfutWMkqSw6MV183LifZJmmibpDmybZJMgLIsx6DM9lwmSVIOoBuwXJKkSGCuLMvzX/dk\nkiT1AA7IsnxZevEfpKS+0ts1P/7Ro6jXDen/iOGIpKnZNpUCarG+9TaO3j7MnFMzWXdpLf3X9efn\nE8v5peXq/7x33LjxADRbvQH0eqwZc4KD49bidfPWW/0BmDFjjsqRaLN9tEK0TdJSaQg0ydfsmQSD\nLMu3gK8kSVoPfIhy7+61EyDQHCgoSVILIDcQi1Jx3lOW5WggF3Az4Sf7M5/LhVKIV0jnKmavTMXs\nlZkYcZOFZ+dSJsvTvTsXn55H2ZAdfPHWu9jy5MGaN5+Kkarv0KEDaocgCJpmz04wGYAuQC+UXWDm\nAe8m52SyLHd65rgTgStAdaAdsCThfzcBh4C5kiQFAGaU+3/DknNOIW3K4ZOTsVUmJD5+HHqb8btG\nEJ3dSvmHe+hdYwqxlljcDe4qRqmuAweOqR2CIGhakusAJUlqKUnSSuAvIBB4W5blMrIsfy/L8oNU\njOEjoKckSXuBjMBPCb3BMSgVKLYBk55MiBGE/xMRQd4+/di4yEqbu5k54RPOkB2DKL+oJFMPf8b9\n6PtqR6gKNzc33NLBekdBSK6XLYPYjdLbC0lISJonlkE4lhbbRvfoIf5d22P68yixTVsQNns+nfp1\n4UrYFR62fkBo7GP2dj6MlLGYQ+PQYts8eKB8T82UyfEVOF5Fi+2jFaJtkqbaMghZlmsn9ZogaIXf\noL6Y/jxKTIfOhH83A4xGrlxQ6jWf6HGePf/uSkx+h28dYuL+cQwoPZjmBVthMpjUDN3hGjVSfoVF\nNQhBeDG7JsEIglZFTPwUj1KliRz3EeiVEf1Dh04kvt60QPPEfx+6fYCjdw5zdOthcnjnpHepfgSV\n6E0mT/V7SI7QoEEjtUMQBE17ZUV4VyKGQB1LK21juHgBm7s71jx5X/uz/zy+wLzTwSz7aymR8RF4\nGDzoEziAidU/SVFMWmkbrRLtkzTRNklz9BCoPZthC4JmGE+fJKBVY/w7toHoF9+avn79GtevX3vh\na4UCivBZrS851fMvPqnxBdm9c6DXPf01uB5+DYvV4pDYBUHQFjEEKrgM48ED+HfrgC4inOgxH4Kn\n5wvf16ZNM+Dl97583fwYUOYt+pUeRIw5BgCrzUrHdW2It8TTJ3AA3YoH4e8ekPr/IU6yePFCAIKC\neqkahyBolegBCi7BtGMbAZ3aoIuOInzWPGJ69E7yva1ataVVq7Z2HVev0+Nl8gIgyhxFjZxvcC/6\nLhP3j6PMT8UYvfs9Ljz6O1X+G5zt22+/4ttvv1I7DEHQLHEP8DliPD5parWN24Z1+A3oBQYDYfMW\nEdewiUPP9yjmIUvOL2LB6Tn8G3EdgJWt1lErd9ITo7V43ezevROA2rXrqhyJNttHK0TbJE3NahCC\noAnWTJmxZshIePAC4qvXdPj5MnhkZEi5YQwu8w4bL29g1YUQquaoDsCD6AesufgrnaSu+LhpewNj\nLSQ+QdAyMQQqaFeMcm/OXLUaDw+ftDv5zZ79I7Nn/5ji0xv1RloWas2CJksS1wwuObeQsXtHUWZR\ncT78YwyXQy+l+DyCIKhDJEBBe2w2vL76goCWjdGFJeyA5+Vl98eDg2cSHDzTIaF1Ld6D9yuPw8vo\nxexTM6i6tBxBv3dix+UdDjlfSnTp0o4uXURNQEFIihgCFbTFZsN7wgd4zf4RS9786B4/xubn/1qH\nmD07OYVK7JPFKwsjKr7PkHLvse6fNcw5NZPNVzaCwcrixiEOO29y3Lx5U+0QBEHTxCSY54gb0klz\neNtYLPiMHIrn0kWYpWKErliDNUdOx50vlfx55whZMwWQx1gEgBG7hhLgHkDvUv3I7ZtH5ei0Qfxe\nJU20TdLEJBghfYiLw/et/nj8tpr4suUIXbYKmwY2cbZHhWyVEn9Ro+Kj2Hzld+5G3WHGie9pVrAl\n/UsPpkr2quh0dtV1FgTBScQ9QEETjCeO4/77OuKq1yR05boUJb9WrZrQqpVjl0okxcvkxdHup/mu\n7gyKZSzBun/W0Gp1Yxr+WpuTd487NZYLF/7mwgXXXMMoCM4geoCCJpgrVyH0l9XEV6yc5A4v9oqP\nj0+lqJLHw+hBl+Ld6VysGwdv7Sf41Ey2Xd1MFq+sgLLjzL3oe2TzyubQODp3fhMQ1SAEISkiAQqq\n0d2/j9fXU4icMBk8PIivlToVuDZu3J4qx0kpnU5HtZw1qJazBg9jHpDRQ+nVbr+6hV6butGqUFv6\nlx5E+WwVHXL+jh27OOS4gpBWiAQoqEJ/8wb+HVpjvPA3lqLFiOnVV+2QHOpJ8gMlMRbwL8jKCytY\neWEFFbJVYkDpwbQo2DpVaxS+//64VDuWIKRF4h6g4HT6S/8Q0LIxxgt/EzV4CDE9+6Tq8U+ePM7J\nk8693/Y6GuRrzN7Oh1nRcg2N8jXh2J2jDNzah1Zr1LlvKQjplegBCk5lOHcW/45tMNy9Q+SY8US9\nNwpSeXZknz5BgLbvfel0OurkqUedPPW4FPoP808Hk9+vQOLrW69sIodPLkplDkz2Ob77bhoAQ4eO\nSHG8gpAWiQQoOI3u0UMC2jZD/+gR4Z9NJabfIIecp1evfg45rqMU9C/EJzWnJD6Ot8QzYvdQbkfe\nonrOmvQvPZgm+Zth0Bte67iLFi0ARAIUhKSIBCg4jS1DRiJHjcXm40ts524OO8+QIcMcdmxnMOgN\nTKv9HcGnZrL7353sv/kHeXzz0qeUUqMwwCODXcdZuPBnB0cqCK5N7ATzHLErQ9KS2zbGY0cxlykH\nhtfrwbgSR1038sO/mHt6NiHyMqLMUfzSYjV189ZP9fM4mvi9Sppom6Q5eicYMQlGcCj3lSsIaN4Q\nn/HvO+2cn3/+MZ9//rHTzudIUsZifFn7G070OM/UN76hTp56AFwPv0bn9W+y7epmrDarylEKgmsS\nCVBwGI8Fc/F9qz82H19i3uzgtPP++usKfv11hdPO5wwBHhnoVapv4nZqW65sYse1bXTd0IHqP1dg\n7qlZRMT995ty48Z1aNy4jgrRCoJrEAlQcAjP77/G9/3h2DJl5vHqDZgrVXHauUNC1hASssZp51ND\n38ABbO/4B12KdedGxL988MdoSv9UjIn7x/PktoaXlzdeXt4qRyoI2iUmwQipy2bD+9NJeH3/NZZc\nuQn9dS2WQkWcGkLBgoWdej61BGYuzXf1ZvBhtY9ZfHYBC87O5VbEjcRe4vxliwlwt2/CjCCkRyIB\nCqlLp8Om12MuVJjQkLVYc4tyQI6W2TMz71UcxdvlhhIWF5b4fP8tvbkTeYt+pQfRoWhnvEz2FxUW\nhPRADIEKqcNshoSht6ixH/J4807Vkl+tWpWpVauyKudWk5vBjcyemQFlLaHumo6Lpy4wavcwyi4q\nxscHJvBv+HWVoxQE7RAJUEi5mBj8+nTH+7OEmZc63WtXcU9NefPmI2/efKqdXwtMBhOXFlwk26bs\nDK84GqPeyA/Hv6XikkA2XFqndniCoAliCFRIEV1EOH49uuD2xx7ioqIhPh5Mqbehc3IsXRqi6vm1\nYtCgtwHoX3kww8qPZM3FlSw59xPVc9YAIM4Sx5qLK2lVqC0eRg81QxUEVYiF8M8Ri1KT9nzb6B49\nxL9re0x/HiW2WUvCZs8Hd3cVI1SPK143IfJy3t4+gMyemelRoje9SvUju3cOh5zLFdvHWUTbJE0s\nhBc0SX/nNgFtmmH68ygxHbsQNvcnzSS/nTu3s3OnNmoCaln1nDV5p9wwzFYzX//5JeUXl2TQ1r4c\nu3NU7dAEwSlEAhSSxWPBXIznzxHVbyDh388Eo3ZG00eOHMrIkUPVDkN1H300jo8+SromYC7f3Eyo\n9jEnevzFV7W/o3BAEVZdCGHojrdISyNDgpAU7fzVElxK1KixWIoVJ7b1m6leziilRoxw3rZrWrZ+\n/VoAJk369KXv8zJ50aNkb4JK9GLvjd2YrebEtYTfH/sai9VCUMneiTNMBSGtEPcAnyPG45OW5foF\nwnfsTfUCtmmBFq+bmzdvAJAzZ65kfd5itVBxSSA3Iv7F3eDOm0U60K/0IAIzl37tY2mxfbRCtE3S\nxD1AQRNMB/dD3br4jBmB4dJFtcMR7JAzZ65kJz9QyjLt6XyQz2pOJadPLpb9tYT6K2rSek1T/rxz\nJBUjFQR1iAQovJJpx1b8O7WFqCjCZ8zBovGtxkaOHMbIka5dE1ArfN386Fd6EAe6HmNpsxXUyVOP\nAzf3oePpl+qI+AgVIxSE5BP3AIWXcvttNX6D+ym1/NasIbbyG2qH9Eo7d25TOwRNqFhRGao8evRU\nio+l1+lpmL8JDfM34XLoJQr4FwTg7P0zNF/VgA5SF/oFDkTKWCzF5xIEZxEJUEiSadcO/Ab0xubl\nTdiSXwho3hRc4F7F9u171Q5BE8qUKeuQ4z5JfgB3o+6QyTMzP52dx09n51E7d10GlB5M/XyN0OvE\nAJOgbWISzHPEDelnxMbi++4gogcPwVy2vGibl0jPbWOxWth05XfmnJrJ/pt/AFAqc2m2ddiTmATT\nc/u8imibpDl6EozoAQr/ZbNhOHcWS8lS4O5O+OwFakf02qKjowHw9PRUOZL0waA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"text/plain": [ "" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "#@title Vapor Phase Composition { run: \"auto\", vertical-output: true }\n", "T = 71 #@param {type:\"slider\", min:30, max:80, step:1}\n", "xA = 0.32 #@param {type:\"slider\", min:0, max:1, step:0.01}\n", "show_partial_pressures = True #@param {type:\"boolean\"}\n", "show_tie_line = True #@param {type:\"boolean\"}\n", "\n", "xA_save = xA\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "# compute partial pressures and total pressure\n", "xA = np.linspace(0,1)\n", "pA = xA*A.Psat(T)\n", "pB = (1-xA)*B.Psat(T)\n", "Pv = pA + pB\n", "yA = pA/Pv\n", "\n", "# create plot\n", "plt.figure(figsize=(7,6))\n", "plt.plot(xA, Pv, 'b')\n", "plt.plot(yA, Pv, 'b--')\n", " \n", "# annotate the plot\n", "plt.plot([0,1], [760,760], 'k:', lw=0.5)\n", "plt.ylim(0, 1200)\n", "plt.xlabel('$x_A$, $y_A$ = Mole fraction ' + A.name)\n", "plt.ylabel('Vapor Pressure / mmHg')\n", "plt.title('Vapor Pressure of '+A.name+' / '+B.name+\n", " ' at {:.1f} deg C'.format(T))\n", "plt.legend(['$P$ Vapor Pressure',\n", " '$y_A$ vapor composition'])\n", "\n", "if show_partial_pressures:\n", " plt.plot(xA, pA, 'r--')\n", " plt.plot(xA, pB, 'g--')\n", "\n", "# show how to use\n", "if show_tie_line:\n", " xA = xA_save\n", " pA = xA*A.Psat(T) # partial pressure A\n", " pB = (1-xA)*B.Psat(T) # partial pressure B\n", " Pv = pA + pB # vapor pressure\n", " yA = pA/Pv # vapor phase composition )\n", " plt.plot([xA, xA, yA, yA], [0, Pv, Pv, 0], 'k:')\n", " dx = -40 if xA < yA else 50\n", " plt.annotate('$x_A$', xy=(xA,0), xycoords='data',\n", " xytext=(dx-5,20), textcoords='offset pixels',\n", " arrowprops=dict(facecolor='black', shrink=0.1))\n", " plt.annotate('$y_A$', xy=(yA,0), xycoords='data',\n", " xytext=(-dx-5,20), textcoords='offset pixels',\n", " arrowprops=dict(facecolor='black', shrink=0.1))\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "cN7aqS1jhJ9b" }, "source": [ "### Exercises\n", "\n", "1. You're in a warehouse and come across a sealed tank labeled 60% acetone in ethanol. It's 30 degrees C in the warehouse. What is the pressure in the tank?\n", "\n", "2. Suppose you have a liquid acetone/ethanol mixture that is 50 mole% acetone. At a pressure of 1 atm, at what temperature does the mixture boil? What is the vapor phase composition?\n", "\n", "3. A chemical process produces an acetone/ethanol vapor stream that is 50 mole% acetone. At what temperature does it begin to condense?" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "LQQjQxH2r1gv" }, "source": [ "## Pxy and Txy Diagrams for Binary Mixtures\n", "\n", "For a **binary mixture** of $A$ and $B$, Raoult's law reads\n", "\n", "\\begin{equation}\n", "P = x_A P_A^{sat}(T) + x_B P_A^{sat}(T)\n", "\\end{equation}\n", "\n", "Substituting $x_B = 1-x_A$\n", "\n", "\\begin{equation}\n", "P = x_A P_A^{sat}(T) + (1-x_A) P_A^{sat}(T)\n", "\\end{equation}\n", "\n", "Solving for $x_A$\n", "\n", "\\begin{equation}\n", "x_A = \\frac{P - P_B^{sat}(T)}{P_A^{sat}(T) - P_B^{sat}(T)}\n", "\\end{equation}\n", "\n", "This equation provides an alternative method of creating the diagrams shown above. fixing temperature $T$, the above equation is a linear function of $P$ that goes through the points $(x_A,P) = (0, P^{sat}_B(T))$ and $(x_A,P) =(1, P^{sat}_A(T))$.\n", "\n", "From Raolt's law we know\n", "\n", "\\begin{equation}\n", " y_A P = x_A P_A^{sat}(T) \\implies y_A = x_A \\frac{ P_A^{sat}(T)}{P}\n", "\\end{equation}\n", "\n", "Putting these all together\n", "\n", "\\begin{align*}\n", "x_A & = \\frac{P - P_B^{sat}(T)}{P_A^{sat}(T) - P_B^{sat}(T)}\\\\\n", "y_A & = \\frac{P - P_B^{sat}(T)}{P_A^{sat}(T) - P_B^{sat}(T)}\\frac{P_A^{sat}(T)}{P}\n", "\\end{align*}\n", "\n", "This gives the liquid phase and vapor phase compositions, $x_A$ and $y_A$ respectively, in terms pressure and temperature. This is very useful for the analysis of separation processes. From these equations we can construct three plots:\n", "\n", "* **Pxy** Fix $T$. Plot $x_A$ and $y_A$ as functions of $P$ in the range $P^{sat}_B(T)$ to $P^{sat}_A(T)$.\n", "* **Txy** Fix $P$. Plot $x_A$ and $y_A$ as functions of $T$ in the range $T^{sat}_B(P)$ to $T^{sat}_A(P)$.\n", "* **xy** Fix either $T$ or $P$. Plot $y_A$ as a function of $x_A$ for $T$ in the range $T^{sat}_B(P)$ to $T^{sat}_A(P)$ or $P$ in the range $P^{sat}_B(T)$ to $P^{sat}_A(T)$.\n", "\n", "The next cells demonstrate each of these plots.\n" ] }, { "cell_type": "code", "execution_count": 111, "metadata": { "cellView": "both", "colab": { "base_uri": "https://localhost:8080/", "height": 298 }, "colab_type": "code", "executionInfo": { "elapsed": 563, "status": "ok", "timestamp": 1541108344100, "user": { "displayName": "", "photoUrl": "", "userId": "" }, "user_tz": 240 }, "id": "WJwK2_dUVh3l", "outputId": "759eb647-8fd2-4cd2-f7f2-6f6f7730a70e" }, "outputs": [ { "data": { "image/png": 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Ppi8EjQoGiqIUeB4PTJ9u4/XXjcRyrVun8OyzLmrWDCMuLv/KlZwMzz/vwOXS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\nwaZNFsLDdYYNc9G2rUosl9aJExpffGG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"text/plain": [ "" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "#@title Pxy Diagram { run: \"auto\", vertical-output: true }\n", "T = 50 #@param {type:\"slider\", min:30, max:80, step:1}\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "def Pxy(A, B, T=0): # , z=0, P=760):\n", " Pp = np.linspace(A.Psat(T), B.Psat(T))\n", " xA = (Pp - B.Psat(T))/(A.Psat(T) - B.Psat(T))\n", " yA = xA*A.Psat(T)/Pp\n", " plt.plot(xA, Pp, 'b')\n", " plt.plot(yA, Pp, 'b--')\n", " plt.gca().fill_betweenx(Pp, xA, yA, facecolor='blue', alpha=0.2)\n", " plt.xlabel('$x_A$, $y_A$ = Mole fraction ' + A.name)\n", " plt.ylabel('vapor pressure / mmHg')\n", " plt.title(A.name + ' / ' + B.name + ' {:.1f} deg C'.format(T))\n", " plt.legend(['bubble point', 'dew point', 'two-phase'])\n", "\n", "Pxy(A, B, T)" ] }, { "cell_type": "code", "execution_count": 109, "metadata": { "cellView": "both", "colab": { "base_uri": "https://localhost:8080/", "height": 298 }, "colab_type": "code", "executionInfo": { "elapsed": 416, "status": "ok", "timestamp": 1541108325610, "user": { "displayName": "", "photoUrl": "", "userId": "" }, "user_tz": 240 }, "id": "FtDFptY-V2vR", "outputId": "8a5499b0-a2a2-4c0a-9ede-5465046ef0ca" }, "outputs": [ { "data": { "image/png": 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kTJkHKV26LNu3bwW0xdNPnTpJoUKFGTHiIyZMmMrzz9cHYM+enfh8Pi5duoTd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\n6cDPwPVzKSnlzNuKRlGUO1arlo916+K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"text/plain": [ "" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "#@title Txy Diagram { run: \"auto\", vertical-output: true }\n", "P = 400 #@param {type:\"slider\", min:200, max:1200, step:10}\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "def Txy(A, B, P=760): #, z=0, T=0):\n", " Tp = np.linspace(A.Tsat(P), B.Tsat(P))\n", " xA = (P - B.Psat(Tp))/(A.Psat(Tp) - B.Psat(Tp))\n", " yA = xA*A.Psat(Tp)/P\n", " plt.plot(xA, Tp, 'b')\n", " plt.plot(yA, Tp, 'b--')\n", " plt.gca().fill_betweenx(Tp, xA, yA, facecolor='blue', alpha=0.2)\n", " plt.xlabel('$x_A$, $y_A$ = Mole fraction ' + A.name)\n", " plt.ylabel('temperature / deg C')\n", " plt.title('Txy: '+A.name+' / '+B.name+' at {:.1f} mmHg'.format(P))\n", " plt.legend(['bubble point', 'dew point', 'two-phase'])\n", " \n", "Txy(A, B, P)" ] }, { "cell_type": "code", "execution_count": 122, "metadata": { "cellView": "both", "colab": { "base_uri": "https://localhost:8080/", "height": 298 }, "colab_type": "code", "executionInfo": { "elapsed": 379, "status": "ok", "timestamp": 1541109950256, "user": { "displayName": "", "photoUrl": "", "userId": "" }, "user_tz": 240 }, "id": "EMxDiz3PXVmD", "outputId": "3a46ccbd-946b-470f-a012-7b5012546985" }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "#@title xy Diagram for a given pressure { run: \"auto\", vertical-output: true }\n", "P = 670 #@param {type:\"slider\", min:200, max:1200, step:10}\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "def xy(A, B, P=None, T=None): #, z=0, T=0):\n", " title = A.name + ' / ' + B.name\n", " if P is not None:\n", " T = np.linspace(A.Tsat(P), B.Tsat(P))\n", " title = title + ' {:.1f} mmHg'.format(P)\n", " elif T is not None:\n", " P = np.linspace(A.Psat(T), B.Psat(T))\n", " title = title + ' {:.1f} deg C'.format(T)\n", " xA = (P - B.Psat(T))/(A.Psat(T) - B.Psat(T))\n", " yA = xA*A.Psat(T)/P\n", " plt.plot(xA, yA, 'b')\n", " plt.plot([0,1],[0,1],'b:')\n", " plt.gca().set_aspect('equal','box')\n", " plt.xlabel('$x_A$ = mole fraction ' + A.name)\n", " plt.ylabel('$y_A$ = mole fraction ' + A.name)\n", " plt.title(title)\n", " \n", "xy(A, B, P=P)" ] }, { "cell_type": "code", "execution_count": 123, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 298 }, "colab_type": "code", "executionInfo": { "elapsed": 334, "status": "ok", "timestamp": 1541109950975, "user": { "displayName": "", "photoUrl": "", "userId": "" }, "user_tz": 240 }, "id": "71jJ3vp4N5aE", "outputId": "e7ff709d-eddb-4eba-9f24-e344a0c28419" }, "outputs": [ { "data": { "image/png": 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4YT6vvhqiW7cqpk/PnhGhgQDccEM5V1wBrVplWo1RHT81jrDnuARARIL4jCBm\nZA+OA8OG5fHss7l06VLFQw+VZjyHq+PAmDFhHn/cva0CATMa2YqfB/8FYLGIvIU7YKsbYOP2NlFG\nj87jscfC/OlPER59tJTCLAjJ9MMPAR59NExRUZS+fasIZ8d4M6MG/MyOHSsirwEH43anzoqf3Wps\nOkyZEuauu8LsumuExx/PjuxqAO3bO8ydW0KbNo4ZjSyn3qZKzAHq+TNuxR3EdQowUUTeTq08I9k8\n8kguY8fmsc02UZ58spSttsp8jNAHH8zl11/d5T32sBQGmwKJ1Dhic1GurWFbFlRwjUR54YUQV16Z\nR5s2UebMKWXbbTP/gM6dG+Kqq/L58MMgU6aUZVqOkSD1Gg5VjQ3SGqmqx8ZvE5HFwEupEGYkl4UL\ngwwenE9+PsyaVUrHjtmRwqB37yo+/bScCy7IjoxvRmLUazhE5AxgFLCDiMTHyMgFfkiVMCN5qOZw\n1lkFRCIwc2Yp++6bWaPhOPDVVzl07BglFIJRoyzvyaZGvT4OVX0M2AOYjRtsJ/Z3EHBAStUZjWbl\nygD9+hWwdm2ASZPK6NEjkmlJjB8fpkePQhYsyJKRZoZvEhrHoaoRVe0PrFbV5aq6HKhQ1czfhUat\nrF0Lp51WwPff53DtteWcemp2TBD7y18i7LZblN12y47mkuGfhAeAeakRHo5b9biIXJR8SUYyqKiA\nc88tYOnSIAMHVnDxxZltDjgOVHl2q2vXCPPnl1jvySaMn5GjZ+HF0/A4Gjg9uXKMZOA4cOWV+SxY\n4M4/GTs2szE1YhPWBg3Kp9LzgWZ6Ep3ROPz8fEEv4E4Mh9+H/zOyhEmTwjz+eC5//nOEadMyP2mt\nogI+/jiHL77IYe1au2WaAn6GnD/rBeFZgGtwjgCeTokqo8E8/XSIcePy2G67KI88UkqLFplWBHl5\n8MgjpWzYEMj4gDMjOSRc41DVscBw4CfcWKEXAlNTpMtoAAsXBrn00nxatXJ47LHSjPoQHAcmTAjz\n0UfuLdaiBVmTX9ZoPH5bmquAxcD7QEtgYdIVGQ1i+fIAAwbkE4nAjBml7L57ZnssPv00h4kTw4wc\nmW8xNZogfvKqTMZ1iLYDvgJ2AW5LkS7DB+vXw1lnFfDLLzlMmFC2MRJ4Jtl77ygzZpSx//6RrAh2\nbCQXPzWOg1S1E/CRqh4IHIXNVck4kQgMHlzA558HOe+8Cs45J3NDtx0HXnoptLGG0bNnlXW5NlH8\nGI5y73+eiARUdQlwSAo0GT4YPTqP+fNDdO9exY03ltd/QAq5775czjmngMmTbU58U8dPr4p6g8De\nBuaLiAJbpEaWkQizZ4eYNi0iXy7xAAAYeUlEQVTMbrtFmD69lFCG47H17VvFe+9VctppNmGtqePn\nVhsMtAbWAP2ArYFbUiHKqJ8lS3IYNiyfzTd3ePjh0oyF2HMcWLUqQJs2Dltt5fDAAzY1vjngx3D0\nV9UHvc+zUiHGSIwffwwwYEABVVVw332l7Lxz5vwIY8aEmTs3l7lzS9hxR/NnNBf8+Dj6iMjmKVNi\nJER5OQwYUMAPP+Rw3XXldO+e2R6U1q2hoMChoCCjMow046fGUQB86/k2Ns6YSjQFpNF4HAdGjszj\n/feD9OlTyYUXZt6XcPHFFQwcWJEVwY6N9JFIIJ9tVHUlMBMYk3pJRm08/HAujz4aZq+9Itx+e1lG\nxkfEJqy1bu1wySXu+8OMRvMjkRrHsyJyCHAu0AOb2JYRPvggh2uucR/Yhx7KXDqDVasCzJsXoqDA\nYeDAiqyYC2Okn0QMxzJgA64/JH52bAB3hqyFcUoxv/wSYODAAior4Z57Stl++8w5Idu0cVMYFBRg\nRqMZk0iw4lMARGS6qp6XeklGPJEIXHBBPt9/n8NVV2XGGeo47uCuvn2r2Gorx3pPDF+zY81oZIBb\nbw3z9tshjjqqissvz0wUr1deCXLddfkMH57hHJFG1pDWsYYiMgnojNvEubSmTHAicgvQRVW7pVNb\nNjJ/fpBJk/LYYYcod91VmrGoWcccE+Gaa8rp1y/zvThGdpC2W1FEDgc6qmoXYCAwpYZ99gCsexf4\n/vsAF11UQF6ew4wZpWyR5sH9jgMffOB+DgTg0ksrbMKasRE/wYrzRGSIiIzzlg8WkXwfZR0BzANQ\n1aVAaxGpPlB6InCNj3M2SSor4fzzC1i9OsDYseXsvXf6Y2tMmBDmwAPd7G+GUR0/d8XdwFp+mxG7\nH3A57ryVRGgHLIlbLvbWrQMQkf7AW8C3iZysdetCQqHEOnSKirIkq3ItVNd31VWweDH06wdXXJFP\nIODHPieHU0+Fd96BY44poKgo7cUnTDb/ttmsDRqnz4/h2F1VDxGRNwBUdZqInNbgkuPGg4jIlsAA\n4EigQyIHr15dklAhRUUtKS5e3xB9aaG6vvnzg9x6ayE77xzlpps28PPP6dPiOG5g4bw82GEHePfd\nlvz883qKi9OnwQ/Z/NtmszZIXF9txsWPjyM2hsMBEJEWuMPQE2Ulbg0jxja4sUvBHVhWhBsIeS6w\nn+dIbVbE+zWmTy+lZRpfWLERof36FbBhg7vOIncZteHHcMwRkdeBXURkCvAR/mbJvoqXl0VE9gNW\nqup6AFV9SlX3UNXOwEnAB6p6uY9zb/JEIvC3v+WzenWAMWPS79eIRNy4pT/+GODXX81iGHWTcFNF\nVaeKyCKgG1AGPKSqH/g4/l0RWeKlWIgCQzy/xlpVnetPdtNj0qQwCxeGOP74yoyE/wuF4N57y1i7\n1lIYGPUTcOoJQS0iC/CaJ7FjvP8OZG52bHHx+oTu7k2hrfn88yX89a8FtG/v8MYbG9LW9eo4MG5c\nmL/8JcLhh/9xROqmcO2yVV82awNfPo4aq5+J1Diu9SvKSJw1a9wmCsC0aWVpHa/x1Vc53H13mNde\nizJ/fomlZTQSJpG5Km8BiEgQN1fsgbi1jYWq+nhq5TVtHAcuuABWrMhh6NByOndO7zyUjh2jzJpV\nym67Rc1oGL7wc7tMAXoDCnwJnOLlWjEayOzZIZ58Eg48MMKwYemZh+I4bprIWOb4ww6L2IhQwzd+\nxnHspaqHxy1P9fwfRgNYvjzA1Vfn07IlTJuWvgjlM2fmMnx4Pp9+WsH112c2nYKx6eKnxhEWkY37\ne00XG4/cACIRuOiifDZsCDB1KmmNr3HyyW76gsGDMzPT1mga+HnwXwAWi8hb3nJ3YHbyJTV97ror\nzKJFbtfrWWflpnx0qOPADz8EaN/eYbPNYPJkS2FgNA6/2eqHAMtx55NcoKrjU6SryfLJJzmMHx9m\n662j3HZbeuKGjh0bplu3FvznP+YBNZKDr6aGqi7EMtQ3mLIyGDIkn8rKAJMnl7Lllukpd9ddoxQV\nRW1gl5E0/GSr3wZ3yPjmxE1QU9XRKdDVJBk3Lo/PPw8yYEAFPXqktus1Nq4vEIDTTquib98qwpbS\n1UgSfuquLwH7AmEgN+7PSID33sth2rRcdtopyqhRqe3NiE1Yu/76vI0GxIyGkUz8NFV+UdUBKVPS\nhCkthUsvdScST55clvLo4L/+6k7Pj0bhiitgc8u/ZyQZP4ZjroicAfyLuDQJqvpd0lU1MW65JY+v\nv87hggsq0jI6tGVLeOaZUhzHjIaRGvwYjn2AM4Bf4tY5wPZJVdTEWLQoyL335rLzzlFGjkxdE8Vx\n4M47w5x4YiXbb+/Qtq05Qo3U4cdwdAZaq6oNN0yQkhK45BJ3AtvkyWUpzb62YEGQsWPzePfdILNn\nl6auIMPAn+FYDOQDZjgSZNy4PL75JofBgys4+ODUNlG6do0wfnwZPXtW1b+zYTQSP4ZjW9xs9Uv5\nvY/D0hnUwIcf5nDffW4vyogRqbG1juM2hWJ+kwEDLO+JkR78GI6bUqaiiVFRAZddlk80GmDixNQl\niJ48OczNN+cxeXIpp51mNQ0jffgJHfhW/XsZ4M5FWbo0yJlnVnDooalropxwQiULFgRTPpjMMKpj\ns1uTzJdf5jBxojsXJRXT1h3Hdbq2aAG77OLw9NPmCDXSj816SiLRKAwdmkdFRYBx48qTPoYiNiK0\nd+9CVq9O7rkNww9+UkDOqumz8RsPP5y7cbp8r16p8TmsW+eORK2osBQGRubw01RpX8tnA/jxxwBj\nx+bRqpXDLbekphclEIAJE8pZuxZat05JEYaREH6aKk4tnw3g+uvzWLcuwDXXlCc1hqfjuPE05s1z\nbXxOjhkNI/OYczQJvPlmkGeeyWW//SKcfXZyx1KsWBHgwQfDdOgQpVevKnJtPrKRBfgxHIFaPjdr\nysrgqqvyyclxmDChjGAwueffbjuHp54qYZttHDMaRtbgp6lyXy2fmzVTpoT55psczjuvMmn5Xh0H\nHnssl1Kvp3XffaOWwsDIKvzEHH28ps/Nma+/DjBlSpj27aNcdVXyHKJPPBHi8svzGTUqL2nnNIxk\nYj6OBuI4MGJEPhUVAcaOLWOzzZJ37pNOquKTTyq45BJLYWBkJzYArIG8+GKIt94K0aNHFccf3/gx\nG44Dy5a5rqO8PLjppuT2zhhGMjHD0QBKSmDUqDxycx1uuik5KQ5uvjlMjx4tWLQoyd5Vw0gBvpsq\nIlIE7AaI99dRVfskeOwk3IBADnCpqi6O29YduAWI4OanHaSqyfE2Jpk77wzz3//mcPHF5eyyS3Jq\nBQccEGH+/Cg77piVX9kwfoef9AiLgDXASuAL3FQJg4AVCR5/OK6R6SIinYAZQJe4Xe4DuqvqChGZ\nAxwLvJiovnTx7bcBpk4N065dlMsvb5wPwnHc+S0AxxwT4cgjS5LenWsYqcBPU2UasBo3TcI44EdV\n/VBVixM8/ghgHoCqLgVai0i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XaxQJVwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "#@title xy Diagram for a given temperature { run: \"auto\", vertical-output: true }\n", "T = 72 #@param {type:\"slider\", min:20, max:80, step:1}\n", "\n", " \n", "xy(A, B, T=T)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "d_nfQ6OKuyyW" }, "source": [ "### Exercises\n", "\n", "1. Why are the two curves labeled the 'dew point' and 'bubble point'? \n", "\n", "2. Why is the region between the bubble and dew points called the two-phase region? Can a single phase actually exist that with a composition corresponding to a point between the two curves?\n", "\n", "3. Where are the liquid and vapor phases located on the Pxy diagram? On the Txy diagram?\n", "\n", "4. Use the above charts to answer the questions appearing earlier in this notebook. Which chart (or charts) makes it most convenient to answer each question?\n" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "lDiM1mQuHraf" }, "source": [ "## Comparison to Experimental Data: Benzene/p-Xylene\n", "\n", "The following cells show ideal mixture calculations for the benzene/p-xylene system which can be compared to [experimental data available here](http://www.ddbst.com/en/EED/VLE/VLE%20Benzene%3Bp-Xylene.php)." ] }, { "cell_type": "code", "execution_count": 124, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 407 }, "colab_type": "code", "executionInfo": { "elapsed": 601, "status": "ok", "timestamp": 1541109953412, "user": { "displayName": "", "photoUrl": "", "userId": "" }, "user_tz": 240 }, "id": "95j_kIOD-6gm", "outputId": "2cebd0db-484c-4bea-adf4-7c043a8e5dbc" }, "outputs": [ { "data": { "image/png": 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BatUyg+ZKlYxzjtOSkmzMmuWiaFGDu+7yERsbgsFQyIPo4sWhc2cfb7/tZt06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\n", "text/plain": [ "" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "plt.figure(figsize=(12,6))\n", "plt.subplot(1,2,1)\n", "Txy(benzene, p_xylene, 760)\n", "plt.subplot(1,2,2)\n", "xy(benzene, p_xylene, P=760)" ] }, { "cell_type": "code", "execution_count": 125, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 407 }, "colab_type": "code", "executionInfo": { "elapsed": 589, "status": "ok", "timestamp": 1541109956190, "user": { "displayName": "", "photoUrl": "", "userId": "" }, "user_tz": 240 }, "id": "f56_8oa6_1lD", "outputId": "89df5b5a-3548-4957-ab0f-037265254379" }, "outputs": [ { "data": { "image/png": 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EeaxQW4T+D7hZKRWtlKoI9Ap3QCWJJNFCCCFE0dsBdLBKEB4CRlj3zwX2YM78sANogjWI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"text/plain": [ "" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12,6))\n", "plt.subplot(1,2,1)\n", "Pxy(benzene, p_xylene, T=308-273.15)\n", "plt.subplot(1,2,2)\n", "xy(benzene, p_xylene, P=308-273.15)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "0Jcg27pxIN4M" }, "source": [ "**Things to Do / Things to Think About **\n", "\n", "1. Repeat these calculations for a different example from the [Dortmund Data Bank](http://www.ddbst.com/en/EED/VLE/VLEindex.php). " ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "8Te30HRb4CUV" }, "source": [ "## Flash\n", "\n", "As a thought experiment, imagine you have a binary liquid mixture that with a composition of 50 mole% A, where A is the more volatile species. You heat the mixture in a sealed apparatus capable of maintaining constant pressure. \n", "\n", "1. You gradually heat the mixture until the first bubble forms. Where is the point located on the Txy diagram? What is the composition of the bubble? What is the overall composition in the sealed vessel?\n", "\n", "2. You continue heating the mixture until half of the mixture is evenly split between the liquid and vapor phases. By evenly split, we mean the moles of vapor equals the moles of liquid. What are the liquid and vapor phase compositions now? What is the overall composition?\n", "\n", "3. You continue heating until the last drop of liquid. What are the compositions now?\n" ] }, { "cell_type": "code", "execution_count": 126, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 585 }, "colab_type": "code", "executionInfo": { "elapsed": 884, "status": "ok", "timestamp": 1541109982496, "user": { "displayName": "", "photoUrl": "", "userId": "" }, "user_tz": 240 }, "id": "Kpq1TSU5ZUNM", "outputId": "29a9f661-1794-4082-930a-4aa8b23a0f97" }, "outputs": [ { "data": { "image/png": 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DBxelSwfnfPv3GzzzjEolf/nlTPr1K/7BCXSA0jRNKzRSWhgyxMlXX6lLa7Nm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\nMHKkn23bj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"text/plain": [ "" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "#@title PT Flash { run: \"auto\", vertical-output: true }\n", "P = 760 #@param {type:\"slider\", min:200, max:1200, step:10}\n", "T = 72 #@param {type:\"slider\", min:30, max:140, step:1}\n", "z = 0.51 #@param {type:\"slider\", min:0, max:1, step:0.01}\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "def PTflash(A, B, P, T, z):\n", " xA = (P - B.Psat(T))/(A.Psat(T) - B.Psat(T))\n", " yA = xA*A.Psat(T)/P\n", " \n", " plt.figure(figsize=(6,8))\n", " plt.subplot(2,1,1)\n", " Pxy(A, B, T)\n", " plt.plot([z ,z], plt.ylim())\n", " if xA < z < yA:\n", " plt.plot([xA, yA], [P, P], 'b-', marker='.', ms=15)\n", " else:\n", " plt.plot(z, P, 'b.', ms=15)\n", " \n", " plt.subplot(2,1,2)\n", " Txy(A, B, P)\n", " plt.plot([z ,z], plt.ylim())\n", " if xA < z < yA:\n", " plt.plot([xA, yA], [T, T], 'b-', marker='.', ms=15)\n", " else:\n", " plt.plot(z, T, 'b.', ms=15)\n", " plt.tight_layout()\n", " \n", "PTflash(A, B, P, T, z)\n" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "KFn-XEOQTzMx" }, "source": [ "### Exercises\n", "\n", "1. Modify this notebook to create Txy and xy diagrams for an acetaldehyde/ethanol mixture. Create an x-y diagram, and compare to the experimental data avaiable here: S. G. D'Avila and R. S. F. Silva, \"Isothermal vapor-liquid equilibrium data by total pressure method. Systems acetaldehyde-ethanol, acetaldehyde-water, and ethanol-water,\" Journal of Chemical & Engineering Data, vol. 15 (3), 421-424, 1970." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": {}, "colab_type": "code", "id": "N-QxUBkkEH6r" }, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [Henry Law Constants](http://nbviewer.jupyter.org/github/jckantor/CBE20255/blob/master/notebooks/07.05-Henry-Law-Constants.ipynb) | [Contents](toc.ipynb) | [Bubble and Dew Points for Binary Mixtures](http://nbviewer.jupyter.org/github/jckantor/CBE20255/blob/master/notebooks/07.07-Bubble-and-Dew-Points-for-Binary-Mixtures.ipynb) >

\"Open" ] } ], "metadata": { "accelerator": "TPU", "colab": { "collapsed_sections": [], "name": "Copy of Binary_Phase_Diagrams_for_Ideal_Mixtures.ipynb", "provenance": [ { "file_id": "https://github.com/jckantor/CBE20255/blob/master/notebooks/Binary_Phase_Diagrams_for_Ideal_Mixtures.ipynb", "timestamp": 1541110010892 }, { "file_id": "1IgMh4XZYu2Uev2S-vOkL01EK3sMr6Exv", "timestamp": 1540296617061 } ], "toc_visible": true, "version": "0.3.2" }, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }