{ "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) >

" ] }, { "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": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wCEABALDA4MChAODQ4SERATGCgaGBYWGDEjJR0oOjM9PDkz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\n/9k=\n", "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", "\$$\n", "P = p_A + p_B\n", "\$$\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", "\$$\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", "\$$\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", "\$$\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", "\$$\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": "iVBORw0KGgoAAAANSUhEUgAAAcAAAAGGCAYAAADsJFECAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCEuSAIUQQoSl/wffal5dhOEzbwAAAABJRU5ErkJggg==\n", "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": "iVBORw0KGgoAAAANSUhEUgAAAcAAAAGGCAYAAADsJFECAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSAAAAABJRU5ErkJggg==\n", "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", "\$$\n", "P = x_A P_A^{sat}(T) + x_B P_A^{sat}(T)\n", "\$$\n", "\n", "Substituting $x_B = 1-x_A$\n", "\n", "\$$\n", "P = x_A P_A^{sat}(T) + (1-x_A) P_A^{sat}(T)\n", "\$$\n", "\n", "Solving for $x_A$\n", "\n", "\$$\n", "x_A = \\frac{P - P_B^{sat}(T)}{P_A^{sat}(T) - P_B^{sat}(T)}\n", "\$$\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", "\$$\n", " y_A P = x_A P_A^{sat}(T) \\implies y_A = x_A \\frac{ P_A^{sat}(T)}{P}\n", "\$$\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": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEZCAYAAAB1mUk3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDIwxxgD/B70N2AxEM8CQAAAAAElFTkSuQmCC\n", "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": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAEZCAYAAAB7HPUdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n0QAAAABJRU5ErkJggg==\n", "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": "iVBORw0KGgoAAAANSUhEUgAAAQ4AAAEZCAYAAABmYsuGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n", "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": "iVBORw0KGgoAAAANSUhEUgAAAQ4AAAEZCAYAAABmYsuGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4yLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvNQv5yAAAIABJREFUeJztnXm8VfP6x9/77H32GVIkJyUzeWS6\n11wXqcxFl/Ijcyl0ZUxShlChJCkRIjIkQl0zcQ25bkmGy5XHELnp4tCoM++9fn+stbMdZ9jrnD11\nzvN+vc7r7DV+P3vttZ71/T7f7/d5Ao7jYBiG4YecTAswDGPTwwyHYRi+McNhGIZvzHAYhuEbMxyG\nYfjGDIdhGL4JZVqA4SIiBwOlqvrvNJV3H/Cyqj6T4P4CbK2qb4tIN+B+Vd01lRq9cm8AtlXVQdXW\n3wr0jltVCBSr6v4i0gG4B9gVCACTVXVaDecOA3cDXYEIME1VpySg6X5ghare0KAvVbOOUcDJnt4A\nMAe4UVUrklFGsrEaR/YwANgnjeV1B/7hY/+TcB+wrEBVh6vq7rE/4HngIW/zvcASVe0E9ABu9gxf\ndYYCWwK7AwcDl4nIAalX/wceAf4MdFZVAToDfwIezICWhLAaRyMQkUHAFbjX8X/AWaq6XEQCwETc\nh60SmK6qE7z11wFnAPnAPNyb9zzgbKC3iLQF7gDGAH29ohYCQ1R1g4i8CTwL9AF2At4GTldVR0QO\n8Y5tDfzsrV9Wg+5dgNWquqaGbed7mvKBfwHnAkcCI4EKEWkNPOftew1wJhAGBqnqGyJSiHvD/9lb\n/7SqDvP2r0t7N+B23JrDWu/7vp/g77AXcDhwibfqXuAdAFVdKSLfAJ0ArXbo/wHXqGoUWCciT3nr\nfleuiLQBHgc6Ap8BJcAKb9sewDSgPVAODFDV90UkB5jsne8r75odp6rdqp17T6AnsEPs91DVVSJy\nLrB3It8/E1iNo4F4D/hU4ChV7Yh7c1znbT4DOAjYDTgAuFhEDsJ9yE7xtu3i/f1NVe8B3gOGq+rt\n3j7HAfsDewJbAJfHFX8CcJR3/h7AX0SkJe7NebXXhJgMPFmL/KOA12v4TofhGqweqroj7gM8RlWf\nA+biVvmv8HbfFvjEe6tPA6711v8NaIn7Ft8P6C8ih9ajfTPcqvnFXu3hVmCW9/AlwvXArapaBaCq\nz6nqau87be+V9UENx+0GfB23/LWnuzpX4TaDdgKGAMd4587BNf4Pq+puwGDg7yISwjUGx+E2l3oD\n/WvRfjiwUFVXxa9U1Z9U9Q+/UbZghqOBqOpPQCtVXeGtWgDs7H3uCTylqpWqug73bbcY96GZoapr\nvZv8fty3b3V6ATNVdYOqRnDf4EfHbX9KVUtVdQPwBbA9cBhuu3u+p+9xYFfvwanOkcBrNaw/AXhC\nVVd6y/fUog9gnao+633+ENeQoKoTgb+qquM9vP+Juy61aT/Y0/5P7xxPA1sBO9ZS9kZEZFfcqv2s\nGrZtATwN3Kyq39VweCFQFrdcCrSoYb+ueEZYVb8F3vLW7w60BWZ42/4JFAN/wf09nlfVXz2j8Hgt\nX2FL4Mfav2F2Yk2VBiIiQWC0iPQGgrhv2S+8zVsBG5sB3kMSu5GHec0BcK9/cQ2nLwJWxy2vxr1B\nY6yN+xzxyt8C2EVEPo/bVu6da+ND470lu+DWfqqzBXCSiMSMVA5uc6Mm1tWgARHpCNwuIrt767fj\n9231mrRX/77gXr+21M+pwFxVrYxfKSLtgJeAZ1X15lqO3YDbJItRCPxaw35bVtMd07qFd8zSOBdK\nK6ANbnNxRdwx39ei4WegQy3bshYzHA3nVNwqaFdV/VlEzsNtooB7M2wV21FEtsZ9m63EvZGn1nPu\nH3FvvhhtqP+ttBJYqqr1Off29/Yrq2HbStyazrB6zlEXdwFLgBNVNSIi/0zgmN99X88XlOib+Hjg\nxvgVItIKeAV4SFUn1XHs57hNiS+95ZgPozqrgc3jlouAZbjXa53XvPodnr9ps7hV7WvR8CYwSUS2\niavpxV4yQ4HrVTXrZqJaU6XhtAW+9YxGG1y/ROxGeRY4TUTyRKQFrqNuL+DvwFmeAxERuUBEzvGO\nqcR9g4HbQ3CmiBR67eWBwAv16FkEtPe6dRGRnUXkEe8hjKdG/0ac7j4iUuSd468iclUN+uqiLfCh\nZzSOwn0YN6vnmPeAdiLSxVvuh/u2/jaB8vYBllZbNxb4Rz1GA9zmx8UiEhSR9l65T9Sw379wHd0x\nx3LMZ7McWCEiJ3vbthKRx73f/D3geBEp8IzAKTUJUNXPvTJney8YRGRL3KbNVtloNMAMR2N4HGgj\nIl95n68FthORibg3wiu4b7IPgQdU9V1cR9pzwAdek6K3tx+4zsfxInI78BTwIu6b+1Pgv0Cd4wtU\ntRR3HMCdIrLUO9+cGm682vwbqOoHwM3Am945huIaOzzdg72eh7oYC0wUkU9xHX83Ajd6b+DatG/A\nfbCmetflQqBffQ+N94AVAj9U23QBcKKIfB73N9g75mEROcHbbzJurUGBN4DRqvpxDUXdAuzg9c7c\nCTzj6XZwjc1Fnu63gde97zMXt3dGcf0sTwK1fZ/zvPIXeOd5y1u+qK7vn0kCFo/DMFKDiARixk9E\nhgBHqupJGZaVFMzHYRgpQET+DMwTkX2B9bi9U6/UfdSmgzVVDCMFqOpHwEzc5uZS3F6V+pzimwzW\nVDEMwzdW4zAMwzdmOAzD8M0m6xwtLl6fUBurdetCVq8uSbWcBpPN+rJZG2S3vmzWBonrKypqWX0c\nENAMahyhUDDTEuokm/VlszbIbn3ZrA0ar6/JGw7DMJKPGQ7DMHxjhsMwDN+Y4TAMwzdp7VXxQrz9\nHZhUfWq5iByJO8EqAryoqmPSqc0wjMRJW43Dm2p8J7VP6Z6CG2PzEOBoL5ajYRhZSDqbKuW4IfVW\nVt8gIjsDq1T1v17g2BeBI9KozTCaBaWl8MwzIVb+4Sn0R9qaKl6Mzaqao9TTjt+H0PsJN5BvrbRu\nXZhwX3RRUcsEVWaGbNaXzdogu/Vlk7a1a+Gee2DsWPj1V1i6FO64o+H6snXkaI2j1eJJdFReUVFL\niovXN1pQqshmfdmsDbJbX7ZoKy4OcN99ucyYEWb9+gAtWjhst53D3/6Wk5C+2oxfthiOlbi1jhgd\nqKFJYxhGYqxcGeCuu8I8+mgupaUB2rSJcs01FQwYUEGrVjHD1vDzZ4XhUNVvRaSViOyIG2vyeH4L\n/GsYRoIsXx5gypQws2fnUlkZoEOHKLvsEqG4OMCZZ1bSqlVyykmb4RCR/XGzm+0IVHoBXp8FvlHV\nubiJfGK5J55Q1S9qPJFhGH9g2bIAd9yRx5w5ISKRADvvHOXSS8vo06eK667LY+XKIFVVySsvnc7R\nJUC3Ora/jZvvwzCMBPnqqwC3357HM8+EiEYDiEQYOrSC3r2rCHp9B+PHl7N2LWyRSIz6BMmKpoph\nGP5YtizAbbf9ZjD22CPCFVdU0KtXFYEAjB0bZq+9opx0krucTKMBZjgMY5Pim28CTJyYx1NPuQaj\nU6cIV15ZQc+eVeR4o7JWrAjw0ENhOnSIcvzxVeTmJl+HGQ7D2ARYsSLApElhZs3KJRJxDcawYW4N\nI6faMM5tt3V45pkS2rVzUmI0wAyHYWQ1P/4YYPLkMA8/nEtFRYCOHd0aRu/evzcYjgOPPppL376V\nFBbCn/4UTakuMxyGkYWsWQN33RVm+vQwJSUBdtghypVXltG3729Oz3iefDLEFVfk89FHOUycWJ5y\nfWY4DCOLKCmB++8Pc+edYdauDdCuXZQbbyzn9NMr62x2nHRSFZ9+WsFFF1WkRacZDsPIAqqq4PHH\nc7n11jA//phD69YO119fxrnnVlJQUPMxjuM6S3fe2SEchjFjUl/TiGGBfAwjgzgOvPBCiK5dC7ni\ninzWrQtw2WXlLF78K0OG1G40AG65JUz37i1YuDD9gZGtxmEYGWLx4hxuuCGfxYuDBIMO55xTwbBh\nFWy9dWLZFQ88MMKrr0bZaafUOkJrwgyHYaSZZcsC3HRTHs895zotevas5Npry9l11/oNhuNANArB\nIBx1VIQePUpqdJamGjMchpEm1qyBiRPzmDHDnYC2//4Rrr++nM6dIwkd7zgwenQe//tfgKlTywiF\nyIjRADMchpFyKith5sxcJkzIY/XqANtvH2XUqDJOOMEdDp4oZWXw3ntBVq+GtWsDtGmTuYTxZjgM\nI4W8/nqQUaPy+PLLIC1buj0lgwZVkpfn/1wFBTB7dgklJZk1GmCGwzBSgipcdFEBr70WIifHoX//\nCoYPr2Crrfw98I4Dt98e5thjq9hzzygtW0LLlpk1GmCGwzCSyrp1cNttedx/P1RVhTjssCrGji2n\nU6eG9Xx8+GEO48fn8eabQZ59ttRX0yaVmOEwjCQQjbrDvkePzuPnn3PYaSe4/vpSjjvOnx+jOvvt\nF+W++0rp0iWSNUYDbACYYTSaf/87h+OPL+SSSwrYsCHAyJHlfPYZ9OzZMKPhOPDaa0Ecr0Vy4olV\nCY/tSBdmOAyjgaxZA8OH53HUUYW8/36Q3r0r+ec/N3D55RXk5zf8vNOm5XL66YVMm5aiOfFJwJoq\nhuETx3GbJTfe6DZLOnaMcMst5XTtmth4jPro27eKhQsr6ds3iUFCk4wZDsPwweef5zB8eB4LF4Yo\nLHS49tpyBg+uIBxu3Hkdh41xQbfe2uHhh8uSIzhFWFPFMBKgpARuuilMjx6FLFwYomfPSt55ZwOX\nXJIcozFmTJijjmrB999nkQe0DqzGYRj18I9/BLnqqnyWL89h222jjBtXytFHJ6dZAhAIQH4+5OY6\nhDaRJ9JqHIZRCz//HGDw4Hz69StkxYoAF15YwYIFG5JqNGIMH17Bq6+WZF3vSW1sIvbNMNKH48Cc\nOSFGjcpj1aoc9t03wm23lbH33smbvh6bsNahQ5RBgyoB2GyzpJ0+5ZjhMIw4vvsuwLBh+bz5puv8\nHDu2jIEDK5M+C7W4OMCcOSE239zhjDPqDtiTjZjhMAzckZ8PPpjLmDF5lJQE6N69igkTyth++9Q0\nHdq2dZg3r4SWLdnkjAaYj8Mw+PrrAH/9awEjR+YTDsPUqaXMnl2adKPhOHD//bmsWeMu77qrs8n4\nNKpjhsNotkQicPfduXTv3oJFi0L06lXJggUbOOWUxs0vqY3nnw9x9dX5jBjRiGGlWYI1VYxmybJl\nAS65JJ/33gux1VZR7rrLDayTSnr1qmLYsHLOOacypeWkA6txGM2KaBSmT3drGe+9F6J370refrsk\nZUbDceA//3Efs5wct9t1U22exGOGw2g2rFgR4OSTC7jmmnwKChymTy/l/vvLfAfX8cP48WGOPLKQ\n+fMzFBw0RSTcVBGRPGAQsJ2qjhCRg4GPVTXhQfUiMgnoDDjApaq6OG7bEOBMIAK8r6qXJXpew6iL\n2KS0q6/OZ/36AMceW8mECeVpefP36FHFG2+E2Gef9KcwSCV+ahx3A7sA3b3l/YCHEj1YRA4HOqpq\nF2AgMCVuWyvgSuAwVT0U2ENEOvvQZhg18ssvAc49N5+LLy4gGoU77ihl5syylBoNx3EDFAMcdFCU\nl1/edEaEJoofw7G7qg4FSgBUdRqwjY/jjwDmeccuBVp7BgOgwvvbTERCQCGwyse5DeMPvPFGkMMP\nL+SFF3Lp3LmKN9/cwOmnp6bHJEZsROgJJ7hRyYGsityVLPz0qsS8Rw6AiLQA/AxdaQcsiVsu9tat\nU9UyEbkRWAaUArNV9Yu6Tta6dSGhUGLtxqKilj5kpp9s1pfN2qBmfWVlMHIk3HEH5ObCuHEwbFiI\nYDD1Y7orK+Hbb2H5csjLa0lRUcqLbDCN+W39GI45IvI6sLOITAGOA+5qcMmw0Q57NY+rgd2AdcA/\nRORPqvpxbQevXl2SUCFFRS0pLl7fCJmpJZv1ZbM2qFnf55/nMHhwPp99FmTXXSPcc08Z++wTZVUa\n66/33APhcEsCgfUUF6evXD8k+tvWZlwSbqqo6lRgBK6x+Arop6p3JHo8sBK3hhFjG+B/3udOwDJV\n/VlVK4AFwP4+zm00cxzHTXp09NGFfPZZkHPOqeC110rS4pR0HBg3Lrwx+XNeHrRtm/JiM0rChkNE\n8nEf9p+BX4E/ici5Psp6FTjZO9d+wEpVjZm8b4FOIhJr+hwAfOnj3EYzZs0aGDgwnyuvzKegAGbO\nLGXChHIKC9NT/uef5zBlSphRo/I2Bhhu6vhpqryC21W6PG6dA8xI5GBVfVdElojIu0AUGCIi/YG1\nqjpXRCYAb4hIFfCuqi7woc1oprz3Xg6DBxewYkUOnTtXMW1aGR06pPfp7dQpyqOPlrLnntEm6Qit\nCT+GI1dVD29MYao6otqqj+O23Qvc25jzG82HaBQmTICRIwtxHLjyynIuv7wibRG0HAeeey5Er15V\nBIPQo0fyg/tkM366Y/8jIm1SpsQwEmTVKjjrrAKGD4ettnJ45plSrrwyfUYDYMaMXAYNKmDChEYG\nHN1E8XOptwW+EpGl/NY1i6p2Tboqw6iFxYtzOP/8Ar7/PoejjoI77iihqCj9joWTT67k/feDDBiw\n6U9Yawh+DMe4lKkwjHpwHHdy2g035BGNwogR5Ywdm8eqVekzGo4DP/0UYOutHTbfHKZNy+4UBqnE\nT1PlHWB7oC/QB9hGVd9KiSrDiOPXX+H88/O59tp8ttjCYc6cUoYOrUh6OL/6GDMmTPfuhXzxhc0N\n9XMFpgC9AcXtKj1FRCanRJVheKjmcMwxhfz977kcdFAVr79ewmGHZcYRue22Dq1bO2y+eTPpc60D\nP02Vvar1qkwVEesyNVLGc8+FuPjifEpKAlxwQQWjRpWTm+Z0qrFxGYEAnHtuJaefXtmovLBNBT81\njrCIbNxfRIJYBDEjBUQiMHZsmIED3fGA999fypgxmTEao0fnMX58eKMBMaPh4ufBfwFYLCIxv0Z3\n4InkSzKaM6tXwwUXFPDmmyF22inKQw+V0qlTZmJZrFsHL74YIhh0GDKkgpbZPd8vrSRsOFR1rDfJ\n7SDcEaMXAJ+kSpjR/Fi6NIezzy5g+fIcjjyyimnTStl888zp2XxzmDu3hGAQMxrV8BMB7GVVPRb4\nV9y6xcCBqRBmNC9eeinEhRfms2FDgKFDyxk+vIKcDHReOA7cdVcufftW0b69wzbbmCO0Juo1HCJy\nBjAK2EFEvovblAv8mCphRvPAcWDSpDDjxuVRWOhw//2l9O6d2mjjdfHGG0FGj85n0aIqHnmkNGM6\nsp16DYeqPiYis4EHgOvjNkVxp8obRoMoKYFLL83n73/PZdtto8ycWZrU/KwNoXv3CKNHl3HSSZkz\nXpsCCVUGVTUCDAaOB/6mqstxp9in2c9tNBV++CHAiSe64zMOPriKV14pyZjRcBx4/333UQgEYPDg\nyiYXIzTZ+GlF3kUjghUbRoxPPnEHdX30UZB+/Sp56qnSjMw3iXH77WF69mzB00/b6IJESWewYsPg\nxRdDnHBCIT/8EOC668qZPLmMvLzMaurVq4ouXao49NDmNTW+MaQzWLHRjHEcuPfeXK6/Po+CAnjw\nwTJ69sycH8Fx3KDGBQWw++5R5s0rbTZBeJKBnxpH9WDFHwGPpUaW0ZSIRODqq/MYNSqftm0dnn22\nJONGY/ToPPr0KWTdOnedGQ1/+BkANlVEFgHdgHKgv6r+M1XCjKbBhg0weHABr7wSolOnCLNmlaY9\ntF91YtPj166F0tIArVqZI9QvfgaAXQgcraonesv/EJFnvOjnhvEHfvopwBlnFPDxx0EOP7yKGTNK\ns2IEZk4OTJlSxtq1sOWWmVazaeKnqXIWXpRyj6OB05Mrx2gqLFsWoFevQj7+OMjpp1cwa1ZmjYbj\nwE03hXn5ZTeIRzBoRqMx+DEcQVWNb5g6xCVVMowYH3yQQ69ehSxfnsMVV5QzaVL6Z7ZW59tvA0yf\nHuaWW/KosrFdjcZPr8qzXmqDBbgG5wjg6ZSoMjZZXnstyKBBBZSVwW23lXH22dkRk3OnnRyefLKE\nHXZw0hrUuKniJ5PbWGA48BNuBrYLVfWmVAkzNj2eeCLEWWcV4Djw0EOlGTcajgOzZ4coL3eXDzoo\naiNCk4Qv26uq7+DGHgVARDZX1bVJV2Vsctx7by7XXZfP5ps7PPZYCQcdlNk5JwCzZuVy+eX5fPJJ\nBTfdVJ5pOU0KX4ZDRPYAtvIW83DjkHZKtihj0yGWN3XSpDy23jrKE0+UsscemTcaAH36VPLRRzlc\ncklFpqU0Ofx0x07G7Ulph5t0ehfgthTpMjYBIhEYMSKPmTPD7LhjlDlzXB9CJnEc+O9/A2y/vUNB\nAUyYYDWNVOCnV+UgVe0EfKSqBwJHAWlK62tkG5WVMGRIPjNnhtlzzwjPP595owFul2u3bi344ANL\nYZBK/FzdmOnOE5GAqi4BDkmBJiPLKS93s8M/80wuBxwQYd68Etq2zbzRANhnnyjbbRfN+OjUpo4f\nH4d6o0ffBuaLiAJbpEaWka1s2AD9+xfw1lshDjusipkzS9lss8xqchz3LycHeveuomfPKutyTTF+\nLu9goDWwBugHbA3ckgpRRnayfj2cfnoBixaFOOaYKqZPL814uoDYhLV161x/Rk4OZjTSgJ9Jbg6w\nyluc1ZDCRGQS0Bl31Omlqro4btt2wONAGPhAVQc3pAwjNaxdC/36FbJkSZCTTqpk6tSyjI8GBTf8\n4NtvByktdTW2bp1pRc2DtHmQRORwoKOqdgEG4nblxjMRmKiqBwEREdk+XdqMulm9Gv7v/1yjccop\nldx9d3YYDYAWLeCpp0qYO7fUjEYaSafr+QhgHoCqLgVai0grAC9D3GHAs972Iar6XW0nMtLHqlXQ\nt68b5u/00yuYPLks7cmeqxOLjK7qLrdujY0ITTN+xnHkA8cAWxI3uU1VZyR4inbAkrjlYm/dOqAI\nWA9MEpH9gAWqOjJRbUZq+Pln6NOnkM8+C3L22RXcemt5RnKdVGfRoiC33JLHwoXwhOUSzAh+3Egv\n46ZEWB63zgESNRzVCVT73AGYDHwLvCAivVT1hdoObt26kFAosVdfUVEWBIGog2zU98sv0KMHfPZZ\nkCFD4M47wwQC4UzLAuCEE+DBB+GYY7Lz2sXIZm3QOH1+DEdYVf/S4JLcHCzt4pa3wZ0sB/AzsFxV\nvwbwQhTuiZuvtkZWry5JqNCiopYUF69viN60kI36Vq92myeffhqkf383S/zPP2dWk+PAggVBunZ1\nAwr36pWd1y5GNmuDxPXVZlz8VDz/IyJtfOxfnVfxAgF5zZGVqroewIvzsUxEOnr77g9oI8oyGsia\nNXDKKa7ROP98GDeuPCvicU6dGubkkwt58MEs8co2c/zUOLYFvhKRpfwW8RxV7ZrIwar6rogs8WJ6\nRIEhItIfWKuqc4HLgIc8R+knwHM+tBlJYN06OPVUN2rXmWdWMG1amF9+ybQqlxNPrOTdd4MZDXJs\n/IYfwzGusYWp6ohqqz6O2/YVcGhjyzAaxoYN7uCuDz90kyTddls5OTmZ9Wk4Dvz6q5spfrvtHB5/\n3HK5Zgt+mirvANsDfYE+wDaq+lZKVBlppawMzjmngPfeC9GnTyWTJpVlvPckNiL02GML+fHHLGgr\nGb/Dz+0xBeiN63v4EjjFm2pvbMJUVMCgQQW8/XaIY4+t5M47Mz9OI0Y06hoQI/vw01TZS1UPj1ue\nKiILki3ISB+RCFx4YT6vvhqiW7cqpk/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/ghgHoCqLgVai0iruO37q2rMCBUDbXxoSxujRuVRXh7ghhvKG+UQdRwYMyZM//5uLlnA\njIaxyeCnO/YhVe0HlAEPANt4iacTpR2uQYhR7K2LnX8dgIi0B44mC2sbr78e5OWXc+nSpYqTTmqc\nQ7SsDP71rxDvvQdr1yZJoGGkiYDjJNZGF5E+qvpM3PJhwEBgjapelsDx9wEvqOrfveV3gHNV9Yu4\nfdriGoyrVfXVus5XVRVxQqH0vaIrK2HvveHLL+HDD2GffRp/znXrXEdru3b172sYGaJG178f5+gg\nETkXuFBVv1PVBcACEdkrweNXElfDALYB/hdb8JotLwHX1Gc0AFavLkmo0KKilhQXr09QYu1Mn56L\naj79+1fQvn05xYk20OJwHLj99jA9e1bRqZPr3GjXLjn6UkGyrl2qyGZ92awNEtdXVNSyxvV+mio9\ngYeB10VkRKyZoqqfJniKV3EdqojIfsBKVY1XPhGYpKovJ6opXaxeDRMmuFPmhw9vuEN0yZIcxo/P\n46qrfkvNaBibIr7Gcajqk8B+uLWFD0TkUB/HvgssEZF3gSnAEBHpLyIniUghcDZureZN7+98P9pS\nyW235bFmTYChQ8sblfH9gAOi3HNPKdOnJ2fsh2FkCl/jOLxmyV+AVkAH4EURmQ1cpqr1th1UdUS1\nVR/Hfc7KiRlffpnDgw+6aQ4GDfI/Zd5x4I03gnTvHiEQgD59LBq5senjJ3TgGmAOcCDwD+//FsDn\nwFMpUZcF3HBDHlVVbvdrQzK+3313Lv36FXLvvTYn3mg6+KlxdKxlzMbtIjIoWYKyiTffDDJ/fohD\nD63i2GMbVlPo27eKRYsqG919axjZhJ+8KnX1I5yUBC1ZRSTihgMMBBxGjy735ZNwHHdsxhZbQLt2\nDg8/XJY6oYaRAZIyyU1VNRnnySbmzAmxdGmQU0+tYq+9Ep8/EkthcPTRLfj+e/OAGk0Tmx1bA6Wl\nbsLo/HynQQF68vIcQiGHkEU7MZooZjhq4P77w6xcmcN551XQoYO/7tdAAK66qoJXXy2xeBpGk8UM\nRzVWrXKTObdu7SQcgSs2YW3GDLfnJBAgqRHBDCPbMMNRjTvucPOjXH554ikcf/opwOzZuTzwQC5l\n5gc1mgHWCo/ju+8CzJiRy/bbRxkwIPHBXltv7TBvXimtWjnk56dQoGFkCVbjiGPcODdh9MiR5eTV\nM47VceCBB3I3Tonv2NFSGBjNBzMcHkuX5vD00yH22iuS0GCt554LMXJkPlddZVUMo/lhTRWPcePC\nOI5b28hJwJwef3wVQ4eW+2rSGEZTwWocwIcf5vDSS7kceGCEI4+M1Lqf47g1E3CTP48YUWHNE6NZ\nYoYDuPlm16Fx9dV1Dy0fPz7MEUcU8o9/WHBQo3nT7A3HP/8Z5K23Qhx+eBWHHFJ7bQOgW7cIe+0V\nZc89LYWB0bxp1j4Ox/mttjFyZM1Dyx0HqqogNxc6d47wyislFoTHaPY06xrH668HWbw4yHHHVbLf\nfn+sRcQmrJ1zTsHGgV1mNAyjGRsOx3HHbQQCDiNG1Dy0vKrKdYZ++22A9evNYhhGjGbbVHn11SD/\n/neQE0+s3BhxvDq5ufDQQ6WsWxegqMh6TwwjRrOscTiOG7U8EHAYOrTiD9vGjQtvTP6cnw9t25rR\nMIx4mqXhmD/frW307l3F7rv/vraxdGkOU6aEGTXKUhgYRm00u6ZKXbUNgD32iPLII6XstVfUHKGG\nUQvNrsbx2mtBPv44yAkn/JZNzXHcuSexzPFHHBGxEaGGUQfNynDEahsAV1zxW23jgQdyGTiwgAkT\nGpD/wDCaIc2qqfLaa0E++ihI796/70k5+eRK3n8/SP/+NmHNMBKh2RgOx4GJE93axtChFTgOFBcH\naNvWYYst4J57LHSXYSRKs2mqLFgQ5IMP3FGie+wRZcyYMN27F/Lll83mEhhG0mg2T83kya7/4rLL\nXN9Ghw4OW2zh0KqVOUENwy/NwnC8/34OCxaE6Nq1in33dX0bAwdW8vrrlsLAMBpCszAcU6a4tY0t\nt3S49dbfek4ssLBhNIwmbzg+/RRefjmXP/85wocfBpk3L8Svv2ZalWFs2qS1V0VEJgGdAQe4VFUX\nx207ErgZiAAvquqYZJQ5bpz7f9iwcvbcM0ooZMmSDKOxpK3GISKHAx1VtQswEJhSbZcpQF/gEOBo\nEdmjsWV+802AWbOgY8cIRx0VoUMHx3wahpEE0tlUOQKYB6CqS4HWItIKQER2Blap6n9VNQq86O3f\nKK691p2oVlBgAXgMI5mks6nSDlgSt1zsrVvn/S+O2/YTsEtdJ2vdupBQqO6gwZ06wddfw/PPBykq\natkg0enAtDWcbNaXzdqgcfoyOXK0rjpAvfWD1atL6i3g2mth8uSWFBevp7i43t0zQlGRqy8byWZt\nkN36slkbJK6vNuOSzqbKStyaRYxtgP/Vsq2Dt84wjCwknYbjVeBkABHZD1ipqusBVPVboJWI7Cgi\nIeB4b3/DMLKQtDVVVPVdEVkiIu8CUWCIiPQH1qrqXOBvwOPe7k+o6hfp0mYYhj/S6uNQ1RHVVn0c\nt+1toEs69RiG0TCa/MhRwzCSjxkOwzB8Y4bDMAzfmOEwDMM3AceShxiG4ROrcRiG4RszHIZh+MYM\nh2EYvjHDYRiGb8xwGIbhGzMchmH4xgyHYRi+aTIpIDMRCDmJ+roDt3j6FBjkhVDMCn1x+9wCdFHV\nbtmiTUS2w51VHQY+UNXB6dSWgL4hwJm4v+37qnpZmrXtBfwdmKSqU6tta/Bz0SRqHJkIhJxkffcB\nJ6vqIUBL4Ngs04d3zbqmU1eC2iYCE1X1ICAiIttniz4vpu6VwGGqeiiwh4h0TqO2FsCdwOu17NLg\n56JJGA4yEAg5Wfo89lfVFd7nYqBNlukD9wG9Js26oO7fNgc4DHjW2z5EVb/LFn1Ahfe3mRegqhBY\nlUZt5UBPaoim19jnoqkYjurBjmOBkGva9hPQPk26YtSlD1VdByAi7YGjcX/EdFKnPi/g0lvAt2lV\n5VKXtiJgPTBJRN7xmlLpplZ9qloG3AgsA5YDi9IZoEpVq1S1tJbNjXoumorhqE6jAiGngT9oEJG2\nwHPAhar6S/ol/Y6N+kRkS2AAbo0jGwhU+9wBmAwcDuwrIr0youo34q9dK+BqYDdgJ+BgEflTpoTV\ng6/noqkYjmwPhFyXvtgN9hJwrapmItZqXfp64L7ZFwBzgf08Z2A2aPsZWK6qX6tqBLctv2catdWn\nrxOwTFV/VtUK3Gu4f5r11UajnoumYjiyPRByrfo8JuJ6vV9Os64YdV2/p1R1D1XtDJyE23NxeZZo\nqwKWiUhHb9/9cXul0kldv+23QCcRKfCWDwC+TLO+Gmnsc9FkptWLyDhcr38UGALsixcIWUS6AuO9\nXZ9W1duyRR/wCrAa+Ffc7rNU9b5s0OcFko7tsyPwUAa6Y+v6bXcFHsJ9CX4C/C0DXdl16bsAt6lX\nBbyrqsPTqGt/3JfSjkAl8D2uI/mbxj4XTcZwGIaRPppKU8UwjDRihsMwDN+Y4TAMwzdmOAzD8I0Z\nDsMwfGOGwzAM35jhMAAQkW4i8o6P/Z8UkQ9EZNsklH2m9//PInJnY8+XLGK6jD9ihsNoKH2BQ+Jm\n9TYIEQkCowBU9SNVvTgZ4hpLvC7jjzSZQD6bAiIyA/hOVW/whkm/APRT1Q+8GagXenElqh93OnB+\ntdU/qGq/uH264U57XwEcCCwE/o07THwr4LjYQy4i1+IOMa4EPgUuqVbexcApuPfH556u0rjt9+O+\ndF4WkQeAc4Ay4BngQeAeYHcgD3dG6CVx5f4Vd4TlI15gmRnADiLyKm5QmbGqemgtGg8BRnjfcU9v\n27GqWhKnLae28mvTUNP39c6xg4i8qqpH+9VT3zXc1LEaR3q5DhgsIvviRmU61zMaAeA43CHof0BV\nZ6lqt2p//WrY9SDgCtw5EWcAa1S1O7CE3+ZTdMGtLRymqofhTmA7PXYCETkI19h09YLTrAEGVdMT\nWz4C+M4r7yxVfQBoDfxbVbuq6sG4AWL2EpHDcB+8zsCh3votgOuBYlU9Ok5DXRq7AFd72iLAMdWu\nQY3le+etSUNt33ejLr96ErmGmzpW40gjqvq9iMzEnSXZV1VjPoXeuDNPjxORrVX1xwYWsVRVVwGI\nyC/Au976FcDm3ueDgbdUtdJbfhO3hrLcW+4G7Aq8ISIALXDfpPV8NY0FqFkDbCci/8INJNMet8Zz\nALDAm8Uawf3OeMajOnVpXKqqP3nrlwNbVju2tvJj5/2dBhEZnsD39aunYwLn3KQxw5FGvJgbPYFf\ncd/UMU7EDTu3M27shh+rHVdvU8Wjqo7lWLyF6pOTAtXWlQPPqupFtX+TP1AR97kf7kN1mKpWicj7\nceUmWsOtS2P171g9jkRt5democbv603oa6iehlzDTQozHGnCe7O+hFsFbgvcCpzgzVDcHzfq19a4\nkZgWxB+rqrOAWUmSshA4V0RyvTfoEcCcuO3/BC4Rkc1U9VcRuRD4UFX/VdPJamBrV7JWebMzd8X1\nNbwLTBORXNyHbj5udT8K5PrU2JDyqUXDqJq+L+5M0pguv3oaew2zHvNxpAERKQSeB+5W1WeA+4Hd\nxI1uPhA4QFWPxW0H75ZKLaq6CJgNLBCRfwL/xY0SHtv+PnAX8KbXPdsN+NhHEXOALiLyFq5f4Dbc\noLifA0/jGsV3gHmq+j/c4DE/iMgS3Cp9vRobUr6ItPYe3OoaFtTyfeN1fepHTxKuYdZj0+oziIjs\nDZwX1+vQFrhPVU/MrDLDqBszHIZh+MaaKoZh+MYMh2EYvjHDYRiGb8xwGIbhGzMchmH4xgyHYRi+\nMcNhGIZvzHAYhuEbMxyGYfjm/wHsAjeXaxQJVwAAAABJRU5ErkJggg==\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": "iVBORw0KGgoAAAANSUhEUgAAAtEAAAGGCAYAAAC9qt3VAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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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": "iVBORw0KGgoAAAANSUhEUgAAAtEAAAGGCAYAAAC9qt3VAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nREREJEP/D5w8FaPx1oNcAAAAAElFTkSuQmCC\n", "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": "iVBORw0KGgoAAAANSUhEUgAAAagAAAI4CAYAAAA/PH0eAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "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) >

" ] } ], "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 }