{ "cells": [ { "cell_type": "markdown", "id": "9a4b7dc9-f027-4be6-a4e9-43baa4e470ff", "metadata": { "tags": [] }, "source": [ "# Week 2 Exercise: Liquid Vapour Equilibria\n", "\n", "## Bubble and Dew points\n", "\n", "Compute the bubble and dew pressure for a chloroform-methanol mixture at 50$^\\circ$ C for all possible molar compositions. \n", "\n", "### Data and useful information\n", "\n", "The Equilibrium vapour pressure in bar is given by the following Antoine equation: \n", "\n", "$$\n", "\\log_{10}{P^\\circ(T)}= A-\\frac{B}{T+C} - \\log_{10}750\n", "$$\n", "\n", "with (chloroform=1, methanol=2): \n", "\n", "$A=[6.95465, 8.08097]$\n", "\n", "$B=[1170.966, 1582.271]$\n", "\n", "$C=[226.232, 239.726]$\n", "\n", "\n", "The activity of the components of the mixture (chloroform=1, methanol=2) can be described by the Van Laar model i.e.: \n", "\n", "$$\n", "\\ln{\\gamma_1}=\\frac{A_{12}}{1+\\frac{A_{12}x_1}{A_{21}x_2}}\n", "$$\n", "\n", "\n", "$$\n", "\\ln{\\gamma_2}=\\frac{A_{21}}{1+\\frac{A_{21}x_2}{A_{12}x_1}}\n", "$$\n", "\n", "with $A_{12}=0.9726$ and $A_{21}=1.9210$.\n", "\n", "### Problem definitions: \n", "\n", "When computing the __Bubble__ pressure, we are estimating the pressure (and the composition) of the very first bubble of vapour formed in a liquid at known composition ($\\mathbf{x}$ is known). \n", "The equations we can use to solve the problem are the equilibrium statements N-1 species in the system (i.e. the Raoult equation in the case of an ideal mixture of ideal gases) and the stoichiometric constraint on the composition of the __vapour__ phase. \n", "\n", "When computing the __Dew__ pressure, we are estimating the pressure (and the composition) of the very first droplet of liquid formed in a vapour at known composition ($\\mathbf{y}$ is known). \n", "The equations we can use to solve the problem are the equilibrium statements N-1 species in the system (i.e. the Raoult equation in the case of an ideal mixture of ideal gases) and the stoichiometric constraint on the composition of the __liquid__ phase. \n", "\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "b1795d92", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " Interactive Phase Diagram\n", " \n", " \n", "\n", "\n", "
\n", "

Interactive Phase Diagram

\n", "
\n", " \n", " \n", "
Value: 0
\n", "
\n", "
\n", "
\n", "\n", " \n", "\n", "" ], "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import HTML\n", "HTML('VLequilibrium_interactive.html')" ] }, { "cell_type": "markdown", "id": "73fe1891", "metadata": {}, "source": [ "### Example solution: Bubble points" ] }, { "cell_type": "code", "execution_count": 2, "id": "8acdfdcf-a4e3-48b1-8080-071dd7a0ae79", "metadata": { "tags": [ "{ \"tags\": [ \"hide-input\", ] }" ] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/folders/4v/jxb311rn5nq2q59y91zzgxd40000gp/T/ipykernel_21294/1319050876.py:18: RuntimeWarning: divide by zero encountered in divide\n", " gamma1=np.exp(VLA12/(1+VLA12*x/(VLA21*(1-x))))\n", "/var/folders/4v/jxb311rn5nq2q59y91zzgxd40000gp/T/ipykernel_21294/1319050876.py:19: RuntimeWarning: divide by zero encountered in divide\n", " gamma2=np.exp(VLA21/(1+VLA21*(1-x)/(VLA12*(x))))\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt \n", "\n", "T=[50]\n", "x=np.linspace(0,1,50)\n", "\n", "AA=np.array([6.95465, 8.08097])\n", "AB=np.array([1170.966, 1582.271])\n", "AC=np.array([226.232, 239.726])\n", "\n", "VLA12=0.9726\n", "VLA21=1.9210\n", "\n", "xinclass=np.array([0.15, 0.3, 0.45, 0.9, 0.9])\n", "yinclass=np.array([0.18, 0.349, 0.505, 0.92, 0.734])\n", "Pinclass=np.array([0.571, 0.596, 0.617, 0.679, 1.013])\n", "\n", "gamma1=np.exp(VLA12/(1+VLA12*x/(VLA21*(1-x))))\n", "gamma2=np.exp(VLA21/(1+VLA21*(1-x)/(VLA12*(x))))\n", "\n", "Peq=(10**((AA-AB/(T+AC))))/750 #bar\n", "\n", "Pbubble=Peq[0]*x*gamma1+Peq[1]*(1-x)*gamma2\n", "K1=(Peq[0]*gamma1)/Pbubble\n", "K2=(Peq[1]*gamma2)/Pbubble\n", "ybubble=K1*x\n", "\n", "Pbubble_ideal=Peq[0]*x+Peq[1]*(1-x)\n", "\n", "ybubble_ideal=Peq[0]/Pbubble_ideal*x\n", "\n", "figure=plt.figure()\n", "axes = figure.add_axes([0.1,0.1,1.5,1.5])\n", "plt.xticks(fontsize=14)\n", "plt.yticks(fontsize=14)\n", "\n", "axes.plot(x,Pbubble,'b-o',label='Liquid Mixture, real')\n", "axes.plot(ybubble,Pbubble,'r-^',label='Vapour Mixture, real')\n", "\n", "\n", "axes.plot(x,Pbubble_ideal,'b--', label='Liquid Mixture, ideal')\n", "axes.plot(ybubble_ideal,Pbubble_ideal,'r--',label='Vapour Mixture, ideal')\n", "\n", "axes.plot(yinclass,Pinclass,'go',label='In class calculations')\n", "\n", "axes.set_xlabel('x, y', fontsize=24);\n", "axes.set_ylabel('P [bar]',fontsize=24); \n", "\n", "axes.legend();\n" ] }, { "cell_type": "code", "execution_count": null, "id": "d6d9d1f9", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "base", "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": "3.11.10" } }, "nbformat": 4, "nbformat_minor": 5 }