{ "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", "< [Isothermal Flash and the Rachford-Rice Equation](http://nbviewer.jupyter.org/github/jckantor/CBE20255/blob/master/notebooks/07.09-Isothermal-Flash-and-the-Rachford-Rice-Equation.ipynb) | [Contents](toc.ipynb) | [Energy Balances](http://nbviewer.jupyter.org/github/jckantor/CBE20255/blob/master/notebooks/08.00-Energy-Balances.ipynb) >
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Binary Distillation with McCabe-Thiele"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Summary\n",
"\n",
"This notebook illustrates the the design of binary distillation columns using the McCabe-Thiele graphical technique."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Problem Statement\n",
"\n",
"A chemicals plant receives a 500 kg-mol/hour stream containing 60 mol% n-heptane, \n",
"40 mol% n-octane from a nearby refinery. The stream is available as a saturated \n",
"liquid at 2 atmospheres. The plant operator needs to separate \n",
"the mixture such that one product stream is 95 mol % pure n-octane, and that 95% of the \n",
"n-octane is recovered."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Distillation\n",
" \n",
"![364px-Colonne_distillazione.jpg](https://github.com/jckantor/CBE20255/blob/master/notebooks/figures/364px-Colonne_distillazione.jpg?raw=true)\n",
" \n",
"by User:Luigi Chiesa. Licensed under CC BY 3.0 via Wikimedia Commons.\n",
"\n",
"Distillation is a workhorse for the large-scale separation of homogeneous volatile mixtures, such as the n-heptane/n-octane mixture described in the problem. Distillation exploits the difference in volatility among components of the mixture. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Txy Diagram\n",
"\n",
"Can the desired product purity be accomplished in a single flash drum? Show why or why not using a Txy diagram."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Chemical Property Data\n",
"\n",
"We begin the analysis by gathering Antoine equation data to create functions that compute the saturation pressure for n-heptane and n-octane. This data comes from Appendix B of the Murphy textbook with units of temperature in °C and pressure in mmHg."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"49.89210994784813"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"class species(object):\n",
" pass\n",
"from scipy.optimize import fsolve\n",
"\n",
"\n",
"A = species()\n",
"A.name = 'n-heptane'\n",
"A.Psat = lambda T: 10**(6.89677 - 1264.90/(T + 216.54))\n",
"A.Tsat = lambda P: fsolve(lambda T: A.Psat(T) - P,50)[0]\n",
"\n",
"\n",
"B.name = 'n-octane)'\n",
"B.Psat = \n",
"\n",
"A.Psat(50)\n",
"A.Tsat(141)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"Psat = dict()\n",
"Psat['n-heptane'] = lambda T: 10**(6.89677 - 1264.90/(T + 216.54))\n",
"Psat['n-octane'] = lambda T: 10**(6.91868 - 1351.99/(T + 209.15))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The saturation temperatures (i.e, boiling points) can be computed by solving Antoine's equation for temperature. Next we create functions for each species for which we have specified a Psat function. This is more general than is really needed for the problem, but might be useful in other situations."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from scipy.optimize import fsolve\n",
"\n",
"Tsat = dict()\n",
"for s in Psat.keys():\n",
" Tsat[s] = lambda P, s=s: fsolve(lambda T: Psat[s](T)-P,50)[0]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Construct Txy Diagram\n",
"\n",
"Next we compute the lower and upper bound on temperatures for the Txy diagram."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"n-heptane 124.0 deg C\n",
"n-octane 152.7 deg C\n"
]
}
],
"source": [
"A = 'n-heptane'\n",
"B = 'n-octane'\n",
"P = 2*760;\n",
"\n",
"print(\"{:12s} {:.1f} deg C\".format(A,Tsat[A](P)))\n",
"print(\"{:12s} {:.1f} deg C\".format(B,Tsat[B](P)))\n",
"\n",
"T = np.linspace(Tsat[A](P),Tsat[B](P))"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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37dq146abbjpn/9mzZ/P+++8zZsyYTOW0detWGjZsSJUqVTh9+jRNmzZl6NChZ3NMaffu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"text/plain": [
" "
]
}
],
"metadata": {
"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
}