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author | hardythe1 | 2014-08-06 17:26:32 +0530 |
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committer | hardythe1 | 2014-08-06 17:26:32 +0530 |
commit | 98bff1c301dd3b8b14983037a8a483e3eae1796d (patch) | |
tree | 1f6a831fd79192d4cbc0c4738c77f8fbf29d0552 /Elementary_Principles_of_Chemical_Processes/Chapter5.ipynb | |
parent | 90bb10608fa3697134121eabc32cfae69e7686d8 (diff) | |
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diff --git a/Elementary_Principles_of_Chemical_Processes/Chapter5.ipynb b/Elementary_Principles_of_Chemical_Processes/Chapter5.ipynb new file mode 100755 index 00000000..344fae37 --- /dev/null +++ b/Elementary_Principles_of_Chemical_Processes/Chapter5.ipynb @@ -0,0 +1,807 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:dfc2bc36e1576488bcd07ee5435a22145b28c649187a0989b470c7cdd7161f42" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 5: Single-Phase Systems" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.1-1, page no. 190" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#Initialization of variables\n", + "import math\n", + "import numpy\n", + "from numpy import linalg\n", + "import scipy\n", + "from scipy import integrate\n", + "\n", + "wtperct=0.5\n", + "Dwater=0.998 #g/cm^3\n", + "Dsulfuric=1.834 #g/cm^3\n", + "\n", + "\n", + "#Calculations and printing :\n", + "\n", + "invPbar=wtperct/Dwater + (1-wtperct)/Dsulfuric\n", + "print '%s %.3f' %(\"Density calculated using volume additvity (g/cm^3) =\",1/invPbar)\n", + "Pbar=wtperct*Dwater + (1-wtperct)*Dsulfuric\n", + "print '%s %.3f' %(\" \\n Density calculated using mass additivity (g/cm^3) =\",Pbar)\n", + "raw_input('press enter key to exit')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Density calculated using volume additvity (g/cm^3) = 1.293\n", + " \n", + " Density calculated using mass additivity (g/cm^3) = 1.416\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "stream": "stdout", + "text": [ + "press enter key to exit\n" + ] + }, + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 1, + "text": [ + "''" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.2-1, page no. 192" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#Initialization of variables\n", + "import math\n", + "import numpy\n", + "from numpy import linalg\n", + "import scipy\n", + "from scipy import integrate\n", + "\n", + "T=23.0+273 #kelvin\n", + "P=3.0+14.7 #psi \n", + "#conversion of pressure from psig to psi requires addition of 14.67 which is 1 atm\n", + "R=0.08206 #lt-atm\n", + "MN2=28.0 #molecular wt.\n", + "weight=100.0 #grams\n", + "\n", + "#Calculations and printing :\n", + "\n", + "n=weight/MN2 #mol\n", + "V=n*R*T*14.7/P #lt\n", + "print '%s %.3f' %(\"assuming ideal gas behaviour, volume (litres) = \",V)\n", + "Vcap=V/n\n", + "if(Vcap>5):\n", + " print(\"ideal gas equation yields error less than 1 percent for diatomic gas\")\n", + "else:\n", + " print(\"ideal gas equation yields error greater than 1 percent for diatomic gases\")\n", + "\n", + "raw_input('press enter key to exit')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "assuming ideal gas behaviour, volume (litres) = 72.046\n", + "ideal gas equation yields error less than 1 percent for diatomic gas\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "stream": "stdout", + "text": [ + "press enter key to exit\n" + ] + }, + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 2, + "text": [ + "''" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.2-2, page no. 195" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#Initialization of variables\n", + "import math\n", + "import numpy\n", + "from numpy import linalg\n", + "import scipy\n", + "from scipy import integrate\n", + "\n", + "T=360.0+273 #Kelvin\n", + "P=3.0 #atm\n", + "Vdot=1100.0 #kg/h\n", + "M=58.1 \n", + "\n", + "#Calculations and printing :\n", + "\n", + "ndot=Vdot/M #kmol/h\n", + "vdot=ndot*22.4*T/(273*P)\n", + "print '%s %.3f' %(\"The volumetric flow rate of the stream (m^3/h) = \",vdot)\n", + "raw_input('press enter key to exit')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The volumetric flow rate of the stream (m^3/h) = 327.781\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "stream": "stdout", + "text": [ + "press enter key to exit\n" + ] + }, + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 3, + "text": [ + "''" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.2-3, page no. 195" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#Initialization of variables\n", + "import math\n", + "import numpy\n", + "from numpy import linalg\n", + "import scipy\n", + "from scipy import integrate\n", + "\n", + "V1=10.0 #ft^3\n", + "T1=70.0+460 #R\n", + "P1=1.0 #atm\n", + "P2=2.5 #atm\n", + "T2=610.0+460 #R\n", + "\n", + "#Calculations and printing :\n", + "\n", + "V2=V1*P1*T2/(P2*T1)\n", + "print '%s %.3f' %(\"Volume in final state (ft^3) = \",V2)\n", + "raw_input('press enter key to exit')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Volume in final state (ft^3) = 8.075\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "stream": "stdout", + "text": [ + "press enter key to exit\n" + ] + }, + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 4, + "text": [ + "''" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.2-4, page no. 196" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#Initialization of variables\n", + "import math\n", + "import numpy\n", + "from numpy import linalg\n", + "import scipy\n", + "from scipy import integrate\n", + "\n", + "#all the calculations are done in R scale\n", + "T2=285.0+460 #R\n", + "T1=32.0+460 #R\n", + "P2=1.30 #atm\n", + "P1=1.0 #atm\n", + "V1dot=3.95*100000. #ft^3/h\n", + "\n", + "\n", + "#Calculations and printing :\n", + "\n", + "#SCFH means ft^3(STP/h)\n", + "ndot=3.95*math.pow(10,5)/359.\n", + "print '%s %.3f' %(\" Molar flowrate (lb-moles/hr) = \",ndot)\n", + "V2dot=V1dot*T2*P1/(T1*P2)\n", + "print '%s %.3E' %(\" \\n True volumetric flowrate (ft^3/h) = \",V2dot)\n", + "raw_input('press enter key to exit')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Molar flowrate (lb-moles/hr) = 1100.279\n", + " \n", + " True volumetric flowrate (ft^3/h) = 4.601E+05\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "stream": "stdout", + "text": [ + "press enter key to exit\n" + ] + }, + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 5, + "text": [ + "''" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.2-5, page no. 197" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#Initialization of variables\n", + "import math\n", + "import numpy\n", + "from numpy import linalg\n", + "import scipy\n", + "from scipy import integrate\n", + "\n", + "flowinA=400.0 #L/min\n", + "flowinN=419.0 # m^3 STP /min\n", + "Pfinal=6.3 #gauge\n", + "Tfinal=325.0 # C\n", + "Pacetone=501.0 #mm of Hg\n", + "Dacetone=791.0 #g/L\n", + "Macetone=58.08 #g\n", + "T1=300.0 #k\n", + "P1=1238.0 #mm Hg original\n", + "\n", + "#Calculations and printing :\n", + "\n", + "print(\"All the values in the textbook are Approximated hence the values in this code differ from those of Textbook\")\n", + "n2cap=flowinA*Dacetone/Macetone\n", + "print '%s %.3f' %(\" \\n Molar flowrate of Acetone (mol Acetone/min) = \",n2cap)\n", + "P=Pfinal*760 + 763\n", + "y4=Pacetone/P\n", + "print '%s %.3f' %(\" \\n Mole fraction of Acetone in the final flow (mol Acetone/mol) = \",y4)\n", + "print '%s %.3f' %(\" \\n Mole fraction of Nitrogen in the final flow (mol Nitrogen/mol) = \",1-y4)\n", + "n3cap=flowinN/0.0224\n", + "n4cap=n2cap/y4\n", + "print(\"By using Overall Molar balance,\")\n", + "n1cap=n4cap-n2cap-n3cap\n", + "V1cap=n1cap*0.0224*T1*760/(1*273*P1)\n", + "print '%s %.3f' %(\"Volumetric Flowrate of Nitrogen (Nitrogen/min) = \",V1cap)\n", + "raw_input('press enter key to exit')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "All the values in the textbook are Approximated hence the values in this code differ from those of Textbook\n", + " \n", + " Molar flowrate of Acetone (mol Acetone/min) = 5447.658\n", + " \n", + " Mole fraction of Acetone in the final flow (mol Acetone/mol) = 0.090\n", + " \n", + " Mole fraction of Nitrogen in the final flow (mol Nitrogen/mol) = 0.910\n", + "By using Overall Molar balance,\n", + "Volumetric Flowrate of Nitrogen (Nitrogen/min) = 547.119\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "stream": "stdout", + "text": [ + "press enter key to exit\n" + ] + }, + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 6, + "text": [ + "''" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.3-1, page no. 202" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#Initialization of variables\n", + "import math\n", + "import numpy\n", + "from numpy import linalg\n", + "import scipy\n", + "from scipy import integrate\n", + "\n", + "T= -150.8 + 273.2 #k\n", + "Vcap= 3./2. #L/mol\n", + "Tc=126.2 #k\n", + "Pc=33.5 #atm\n", + "w=0.040\n", + "\n", + "#Calculations and printing :\n", + "\n", + "print(\"All the values in the textbook are Approximated hence the values in this code differ from those of Textbook\")\n", + "Pideal=0.08206*T/Vcap\n", + "print '%s %.3f' %(\" \\n The value of pressure as per Ideal gas equation (atm) = \",Pideal)\n", + "Tr=T/Tc\n", + "B0=0.083 - (0.422/math.pow(Tr,1.6))\n", + "B1=0.139 - (0.172/math.pow(Tr,4.2))\n", + "B=0.08206*Tc*(B0+w*B1)/Pc\n", + "Pvirial=0.08206*T*(1+ B/Vcap)/Vcap\n", + "print '%s %.3f' %(\"\\n The value of pressure as per Virial gas equation (atm) = \",Pvirial)\n", + "e=(Pideal-Pvirial)*100/Pvirial\n", + "print '%s %.3f' %(\" \\n Percentage error due to Ideal gas Equation =\",e)\n", + "raw_input('press enter key to exit')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "All the values in the textbook are Approximated hence the values in this code differ from those of Textbook\n", + " \n", + " The value of pressure as per Ideal gas equation (atm) = 6.696\n", + "\n", + " The value of pressure as per Virial gas equation (atm) = 6.196\n", + " \n", + " Percentage error due to Ideal gas Equation = 8.072\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "stream": "stdout", + "text": [ + "press enter key to exit\n" + ] + }, + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 7, + "text": [ + "''" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.3-2, page no. 203" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#Initialization of variables\n", + "import math\n", + "import numpy\n", + "from numpy import linalg\n", + "import scipy\n", + "from scipy import integrate\n", + "\n", + "V=2.5 #m^3\n", + "n=1.00 #Kmol\n", + "T= 300 #K\n", + "Tc=304.2 #K\n", + "Pc=72.9 #atm\n", + "w=0.225\n", + "R=0.08206\n", + "\n", + "#Calculations and printing :\n", + "\n", + "print(\"All the values in the textbook are Approximated hence the values in this code differ from those of Textbook\")\n", + "Vcap=V/n\n", + "a=0.42747*math.pow(R*Tc,2) /Pc\n", + "b=0.08664*R*Tc/Pc\n", + "m=0.48508+ 1.5171*w -0.1561*w*w\n", + "Tr=T/Tc\n", + "alpha=math.pow(1+ m*(1-math.sqrt(Tr)),2)\n", + "P=(R*T/(Vcap-b))-(alpha*a/(Vcap*(Vcap+b)))\n", + "print '%s %.3f' %(\" \\n Pressure of gas calculated using SRK equation (atm) = \",P)\n", + "raw_input('press enter key to exit')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "All the values in the textbook are Approximated hence the values in this code differ from those of Textbook\n", + " \n", + " Pressure of gas calculated using SRK equation (atm) = 9.381\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "stream": "stdout", + "text": [ + "press enter key to exit\n" + ] + }, + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 9, + "text": [ + "''" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.4-1, page no. 206" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#Initialization of variables\n", + "import math\n", + "import numpy\n", + "from numpy import linalg\n", + "import scipy\n", + "from scipy import integrate\n", + "\n", + "Vcap=50.0 #M^3/hr\n", + "P=40.0 #bar\n", + "T=300.0 #K\n", + "R=8.314\n", + "M=16.04 #kg/kmol\n", + "\n", + "#Calculations and printing :\n", + "\n", + "print(\"All the values in the textbook are Approximated hence the values in this code differ from those of Textbook\")\n", + "z=0.934\n", + "print '%s %.3f' %(\" \\n From the Table, z= \",z)\n", + "ncap=P*Vcap*101.325/(z*R*T*1.01325)\n", + "mcap=ncap*M\n", + "print '%s %.3f' %(\" \\n Mass flow rate of Methane (Kg/hr) = \",mcap)\n", + "raw_input('press enter key to exit')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "All the values in the textbook are Approximated hence the values in this code differ from those of Textbook\n", + " \n", + " From the Table, z= 0.934\n", + " \n", + " Mass flow rate of Methane (Kg/hr) = 1377.071\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "stream": "stdout", + "text": [ + "press enter key to exit\n" + ] + }, + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 10, + "text": [ + "''" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.4-2, page no. 209" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#Initialization of variables\n", + "import math\n", + "import numpy\n", + "from numpy import linalg\n", + "import scipy\n", + "from scipy import integrate\n", + "\n", + "n=100.0 #gm-moles\n", + "V=5.0 #ltr\n", + "T= -20.6 + 273.2 #K\n", + "Tc=126.2 #K\n", + "Pc=33.5 #atm\n", + "R=0.08206\n", + "\n", + "#Calculations and printing :\n", + "\n", + "print(\"All the values in the textbook are Approximated hence the values in this code differ from those of Textbook\")\n", + "Tr=T/Tc\n", + "Vrideal=V*Pc/(n*R*Tc)\n", + "print '%s %.3f' %(\" \\n Tr= \",Tr)\n", + "print '%s %.3f' %(\"\\n Vrideal=\",Vrideal)\n", + "z=1.77\n", + "print '%s %.3f' %(\"\\n From the graphs, z=\",z)\n", + "P=z*R*T*n/V\n", + "Pr=P/Pc\n", + "print '%s %.3f' %(\" \\n Pr= \",Pr)\n", + "print '%s %.3f' %(\" \\n Pressure in the cylinder (atm) = \",P)\n", + "raw_input('press enter key to exit')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "All the values in the textbook are Approximated hence the values in this code differ from those of Textbook\n", + " \n", + " Tr= 2.002\n", + "\n", + " Vrideal= 0.162\n", + "\n", + " From the graphs, z= 1.770\n", + " \n", + " Pr= 21.904\n", + " \n", + " Pressure in the cylinder (atm) = 733.784\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "stream": "stdout", + "text": [ + "press enter key to exit\n" + ] + }, + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 11, + "text": [ + "''" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.4-3, page no. 212" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#Initialization of variables\n", + "import math\n", + "import numpy\n", + "from numpy import linalg\n", + "import scipy\n", + "from scipy import integrate\n", + "\n", + "yN2=0.25\n", + "yH2=1.0-yN2\n", + "P=800.0 #atm\n", + "T= -70+273.2 #K\n", + "TcH2=33.0 #K\n", + "TcN2=126.2 #K\n", + "PcH2=12.8 #atm\n", + "PcN2=33.5 #atm\n", + "R=0.0083\n", + "#Calculations and printing :\n", + "\n", + "print(\"All the values in the textbook are Approximated hence the values in this code differ from those of Textbook\")\n", + "print(\"Applying newton corrections for Hydrogen,\")\n", + "TcaH2=TcH2+8.\n", + "PcaH2=PcH2+8.\n", + "Tcbar=yH2*TcaH2 + yN2*TcN2\n", + "Pcbar=yH2*PcaH2 + yN2*PcN2\n", + "Trbar=T/Tcbar\n", + "Prbar=P/Pcbar\n", + "print '%s %.3f' %(\" \\n Trbar = \",Trbar)\n", + "print '%s %.3f' %(\" \\n Prbar = \",Prbar)\n", + "Zm=1.86\n", + "print '%s %.4f' %(\" \\n From the graph, Zm = \",Zm)\n", + "Vcap=Zm*R*T/P\n", + "print '%s %.5f' %(\" \\n Specific Volume of Mixture (L/mol) = \",Vcap)\n", + "raw_input('press enter key to exit')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "All the values in the textbook are Approximated hence the values in this code differ from those of Textbook\n", + "Applying newton corrections for Hydrogen,\n", + " \n", + " Trbar = 3.262\n", + " \n", + " Prbar = 33.368\n", + " \n", + " From the graph, Zm = 1.8600\n", + " \n", + " Specific Volume of Mixture (L/mol) = 0.00392\n" + ] + } + ] + } + ], + "metadata": {} + } + ] +}
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