{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Liquid/Vapor Equilibrium : dew and boiling curve\n", "\n", "The vapor pressure of benzene and toluene are given by the following equation\n", "$$log_{lO} P_A^0 (Pa)=\\frac{- 0,05223 A}{T} + B$$\n", "Where T is the temperature in Kelvin and A et B are constant given below.\n", "  \n", "\t\t\t A (K) B\n", "\tBenzene\t\t32295\t\t9,7795\n", "\tToluene\t\t39198\t\t10,45449\n", " \n", "By considering that the mixture benzene-toluene is ideal, calculate the molar fraction of benzene in :\n", "\n", "a) the mixture boiling at 97°C under the normal pressure (101300 Pa)\n", "\n", "b) the first drop of distillate\n", "\n", "c) Plot the boiling and the dew point curves. \n", "\n", "d) Plot the square diagram.\n", "\n", "e) Determine the boiling temperature of a mixture having a molar fraction of 0.3" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "At a pressure of 101300 Pa the boiling temperature of Benzene is 353.33 K and of toluene is 375.73 K\n", "At a temperature of 370.15 T the vapor pressure of Benzene is 166923 Pa and of toluene is 83841 Pa\n", "\n", "The molar fraction in Benzene of a mixture boiling at 370.15 K is 0.21\n", "The first condensate obtained at 370.15 is 0.346 in Benzene\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "#Data for Antoine Laws\n", "K=0.05223\n", "A_BZ=32295\n", "B_BZ=9.7795\n", "A_TL=39198\n", "B_TL=10.45449\n", "P=101300 #Pa\n", "#calculation of the boiling temperature of pure A and B at atm pressure\n", "T_BZ=(-K*A_BZ)/(np.log10(P)-B_BZ)\n", "T_TL=(-K*A_TL)/(np.log10(P)-B_TL)\n", "print ('At a pressure of {} Pa the boiling temperature of Benzene is {:.2f} K and of toluene is {:.2f} K'.format(P,T_BZ,T_TL))\n", "\n", "def P0_BZ(T):\n", " return 10**(B_BZ-K*A_BZ/T)\n", "def P0_TL(T):\n", " return 10**(B_TL-K*A_TL/T)\n", "def x_BZ(T):\n", " return (P-P0_TL(T))/(P0_BZ(T)-P0_TL(T))\n", "def y_BZ(T):\n", " return x_BZ(T)*P0_BZ(T)/P\n", "\n", "T97=97+273.15\n", "print ('At a temperature of {} T the vapor pressure of Benzene is {:.0f} Pa and of toluene is {:.0f} Pa'.format(T97,P0_BZ(T97),P0_TL(T97)))\n", "print ('')\n", "print ('The molar fraction in Benzene of a mixture boiling at', T97, 'K is',round(x_BZ(T97),3))\n", "print ('The first condensate obtained at ', T97, 'is',round(y_BZ(T97),3), 'in Benzene')\n", "T=np.linspace(T_BZ,T_TL,100)\n", "plt.plot(x_BZ(T),T,label='Boiling curve')\n", "plt.plot(y_BZ(T),T,label='Dew point curve')\n", "plt.plot([x_BZ(T97),x_BZ(T97),y_BZ(T97),y_BZ(T97)],[T_BZ,T97,T97,T_BZ], 'r--',label='x and y at 97°C')\n", "plt.legend(loc='best')\n", "plt.xlabel('x and y of Benzene')\n", "plt.ylabel('T (K)')\n", "plt.grid()\n", "plt.show()\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The mean relative volatility is 2.061\n", "determined at the mean temperature of the boiling temperature of benzene and toluene\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "alpha1=P0_BZ((T_BZ+T_TL)/2)/P0_TL((T_BZ+T_TL)/2)\n", "print ('The mean relative volatility is', round(alpha1,3))\n", "print ('determined at the mean temperature of the boiling temperature of benzene and toluene')" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#plot of square diagram y=f(x)\n", "x=np.linspace(0,1,100)\n", "y=alpha1*x/(1+(alpha1-1)*x)\n", "yb=x\n", "plt.plot(x,y, 'b--', label='From relative volatility')\n", "plt.plot(x_BZ(T),y_BZ(T), 'g--', label='From Antoine law')\n", "plt.plot([0,x_BZ(T97),x_BZ(T97)],[y_BZ(T97),y_BZ(T97),0], 'r--',label='x and y at 97°C')\n", "plt.plot(x,yb,'b')\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.legend()\n", "plt.grid()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Un mélange de composition 0.3 en Benzène a une température d ébulition 367.91 K\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from scipy.optimize import fsolve\n", "\n", "x_BZX=0.3 #Fraction molaire en benzene dont on recherche la temperature d'ebulition \n", "#Fonction dont il faut trouver la racine pour trouver la temperature d'ebulition d'un mélange à x_BZX\n", "def xeb(T):\n", " return x_BZ(T)-x_BZX\n", "#Résolution \n", "Teb = fsolve(xeb, x0=T_BZ)[0]\n", "print('Un mélange de composition',x_BZX, 'en Benzène a une température d ébulition', round(Teb,2), 'K')\n", "\n", "plt.plot(x,y, 'b--', label='From relative volatility')\n", "plt.plot(x_BZ(T),y_BZ(T), 'g--', label='From Antoine law')\n", "plt.plot([0,x_BZ(Teb),x_BZ(Teb)],[y_BZ(Teb),y_BZ(Teb),0], 'r--')\n", "plt.plot(x,yb,'b')\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.legend()\n", "plt.grid()\n", "plt.show()\n", "\n", "plt.plot(x_BZ(T),T,label='Boiling curve')\n", "plt.plot(y_BZ(T),T,label='Dew point curve')\n", "plt.plot([x_BZ(Teb),x_BZ(Teb),y_BZ(Teb),y_BZ(Teb)],[T_BZ,Teb,Teb,T_BZ], 'r--')\n", "plt.legend(loc='best')\n", "plt.xlabel('x and y of Benzene')\n", "plt.ylabel('T (K)')\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.12" } }, "nbformat": 4, "nbformat_minor": 2 }