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author | hardythe1 | 2015-04-07 15:58:05 +0530 |
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committer | hardythe1 | 2015-04-07 15:58:05 +0530 |
commit | 92cca121f959c6616e3da431c1e2d23c4fa5e886 (patch) | |
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diff --git a/Thermodynamics/Chapter14.ipynb b/Thermodynamics/Chapter14.ipynb new file mode 100755 index 00000000..4bbbb0eb --- /dev/null +++ b/Thermodynamics/Chapter14.ipynb @@ -0,0 +1,630 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:4c4dfb370e475e99da4c5056464d38bcfd8f5f2d436b23af2eaa8055bd431fec"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 14:CHEMICAL REACTIONS AND COMBUSTION"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.1, Page No:644"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Variable declaration\n",
+ "# From the Table 14.1 \n",
+ "del_hfHCL=92307; # Enthalpy of Heat in kJ/kmol\n",
+ "del_hfH2O=-241818; # Enthalpy of Heat kJ/kmol\n",
+ "\n",
+ "#Calculation\n",
+ "del_Ho=4*del_hfHCL-2*del_hfH2O; # The standard heat of reaction from enthalpy equation\n",
+ "\n",
+ "#Result\n",
+ "print \"The standard heat of reaction for the process = \",del_Ho,\"kJ (answer mentioned in the textbook is wrong)\"\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The standard heat of reaction for the process = 852864 kJ (answer mentioned in the textbook is wrong)\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.2, Page No:645"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Variable declaration\n",
+ "del_Ho=5640000; # Heat released during the process\n",
+ "# From the Table 14.1 \n",
+ "del_hfO2=-393509; del_hfH2O=-285830; # Enthalpy of Heat in kJ/kmol\n",
+ "\n",
+ "#Calculation\n",
+ "del_hfsucrose=12*del_hfO2+11*del_hfH2O+del_Ho; # The enthalpy formation of sucrose\n",
+ "\n",
+ "#Result\n",
+ "print \"The enthalpy formation of sucrose = \",del_hfsucrose,\"kJ/kmol (answer mentioned in the textbook is wrong)\"\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The enthalpy formation of sucrose = -2226238 kJ/kmol (answer mentioned in the textbook is wrong)\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.3, Page No:649"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Variable declaration\n",
+ "# (a).Balancing of chemical equation\n",
+ "# The unbalanced equation for the process is C8H18 + O2 + N2 \u2192 CO2 + H2O + N2\n",
+ "x=8; # Carbon balance\n",
+ "y=9; # Hydrogen balance\n",
+ "z=12.5; # Oxygen balance in reverse order\n",
+ "n=z*3.76; # Nitrogen Balance\n",
+ "\n",
+ "#Result for (a)\n",
+ "print \"(a).Balancing of chemical equation\"\n",
+ "print \" C8H18 + z O2 + n N2 \u2192 x CO2 + y H2O + n1 N2 \\n \"\n",
+ "print \" z =\",z,\"\\n n =\",n,\"\\n x =\",x,\"\\n y =\",y,\"\\n n1 =\",5*n\n",
+ "\n",
+ "#Calculation for (b)\n",
+ "# (b).The theoretical air-fuel ratio\n",
+ "a=1; # Mole of C8H18\n",
+ "AF1=(z+n)/a; #The theoretical air-fuel ratio on mole basis\n",
+ "ma=28.84; # Molecular mass of air \n",
+ "mc=114; # Molecular mass of C8H18\n",
+ "AF2=(AF1*ma)/(a*mc); # The theoretical air-fuel ratio on mass basis\n",
+ "\n",
+ "#Result for (b)\n",
+ "print \"\\n(b).The theoretical air-fuel ratio\",\"\\nThe theoretical air-fuel ratio on mole basis = \",AF1,\"kmol air / kmol C8H18\"\n",
+ "print \"The theoretical air-fuel ratio on mass basis = \",round(AF2,0),\"kg air / kmol C8H18\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a).Balancing of chemical equation\n",
+ " C8H18 + z O2 + n N2 \u2192 x CO2 + y H2O + n1 N2 \n",
+ " \n",
+ " z = 12.5 \n",
+ " n = 47.0 \n",
+ " x = 8 \n",
+ " y = 9 \n",
+ " n1 = 235.0\n",
+ "\n",
+ "(b).The theoretical air-fuel ratio \n",
+ "The theoretical air-fuel ratio on mole basis = 59.5 kmol air / kmol C8H18\n",
+ "The theoretical air-fuel ratio on mass basis = 15.0 kg air / kmol C8H18\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.4, Page No:650"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import numpy as np\n",
+ "#Variable declaration\n",
+ "# The combustion equation for C4H10 with 80% theoretical air is C4H10 +5.2(O2 + 3.76 N2) \u2192 a(1)CO + a(2)CO2 + 5H2O + 19.55N2\n",
+ "# The following matrix shows the balance of C and O\n",
+ "\n",
+ "#Calculation\n",
+ "A = np.array([(1, 1),(1,2)])\n",
+ "B = np.array([4,5.4])\n",
+ "m = np.linalg.solve(A,B)\n",
+ "\n",
+ "#Result\n",
+ "print \"The equation for the combustion of butane with 80% theoretical air is \"\n",
+ "print \"\\nC4H10 +5.2(O2 + 3.76 N2) \u2192\", m.item(0), \"CO + \",m.item(1), \"CO2 + 5H2O + 19.55N2\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The equation for the combustion of butane with 80% theoretical air is \n",
+ "\n",
+ "C4H10 +5.2(O2 + 3.76 N2) \u2192 2.6 CO + 1.4 CO2 + 5H2O + 19.55N2\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.5, Page No:650"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Variable declaration\n",
+ "p=101.325; # Atmospheric pressure in kPa\n",
+ "# The complete combustion equation for actane\n",
+ " # yC8H18+ x (O2+3.76N2) \u2192 n1 CO2+n2 H2O+n3 O2+n3 N2\n",
+ "x=12.5*1.5; y=1;\n",
+ "n1=8; n2=9; n3=6.28; n4=70.5;\n",
+ "\n",
+ "#calculation\n",
+ "n=n1+n2+n3+n4; # Total number of moles of the products\n",
+ "AFm=(x+x*3.76)/y ;# Air fuel ratio\n",
+ "m=28.84;\n",
+ "M=116; # Molecular weight of octane\n",
+ "AF=AFm*m/M;\n",
+ "yco2=n1/n; yH2O=n2/n; yO2=n3/n; yN2=n4/n;\n",
+ "pH2O=p*yH2O; # Partial pressure of water vapour in the products\n",
+ "Tsat=45.21; # In oC\n",
+ "\n",
+ "#Result\n",
+ "print \"Air fuel ratio = \",round(AF,2),\"kg air/kg octane\"\n",
+ "print \"Dew point temperature = \",Tsat,\"oC\"\n",
+ "print \"\\nIf the products are cooled below 25 oC then, the water vapour will condense.\"\n",
+ "print \"Because the cooled temperature is less than dew point temperature of water vapour i.e., T < Tsat.\"\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Air fuel ratio = 22.19 kg air/kg octane\n",
+ "Dew point temperature = 45.21 oC\n",
+ "\n",
+ "If the products are cooled below 25 oC then, the water vapour will condense.\n",
+ "Because the cooled temperature is less than dew point temperature of water vapour i.e., T < Tsat.\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.6, Page No:651"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Variable declaration\n",
+ "# The complete chemical equation is\n",
+ "#[0.14H2+0.03CH4+0.27CO+0.045CO2+0.01O2+0.505N2]+0.255(O2+3.75N2) \u21920.2H2O+0.345CO2+1.44N2\n",
+ "a=0.14; # Composition of H2 in air\n",
+ "b=0.03; # Composition of CH4 in air\n",
+ "c=0.27; # Composition of CO in air\n",
+ "d=0.045; # Composition of CO2 in air\n",
+ "e=0.01; # Composition of O2 in air\n",
+ "f=0.505; # Composition of N2 in air\n",
+ "g=(0.265-0.01); # O2 requirement from atmospheric air with 1% O2 already in fuel\n",
+ "h=3.76; # By nitrogen balance \n",
+ "i=1; # mole of the air\n",
+ "\n",
+ "#Calculation\n",
+ "#Air fuel ratio on mol (volume) basis\n",
+ "AFvol=(g+(g*h))/i; # Air fuel ratio (theroretical)\n",
+ "AFv=1.1*AFvol; # Air fuel ratio on mol (volume) basis\n",
+ "#Air fuel ratio on mass basis\n",
+ "M1=2; # Molecular mass of H2\n",
+ "M2=16; # Molecular mass of CH4\n",
+ "M3=28; # Molecular mass of CO\n",
+ "M4=44; # Molecular mass of CO2\n",
+ "M5=32; # Molecular mass of O2\n",
+ "M=a*M1+b*M2+c*M3+d*M4+e*M5+f*M3; # Molecular mass of Fuel\n",
+ "Ma=28.84; # Molecular mass of air\n",
+ "AFm=AFv*Ma/(i*M); # Air fuel ratio on mass basis\n",
+ "\n",
+ "#Results\n",
+ "print \"Air fuel ratio on mol (volume) basis =\",round(AFv,3),\"kmol actual air/kmol fuel\"\n",
+ "print \"\\nAir fuel ratio on mass basis = \",round(AFm,2),\"kg air / kg fuel\"\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Air fuel ratio on mol (volume) basis = 1.335 kmol actual air/kmol fuel\n",
+ "\n",
+ "Air fuel ratio on mass basis = 1.56 kg air / kg fuel\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.7, Page No:653"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Variable declaration\n",
+ "#From table 14.2 at 25 oC and 1 atm for C8H8\n",
+ "del_Ho=-2039.7; # LHV in MJ/kmol\n",
+ "# Combustion equation is C3H8+ 5O2 +18.8N2 \u2192 3CO2 +4H2O +18.8N2\n",
+ "# From table 14.3\n",
+ "h333_C3H8=2751; # h333_h298 of C3H8 in kJ/kmol\n",
+ "h333_O2=147; # h333_h298 of O2 in kJ/kmol\n",
+ "h333_N2=145; # h333_h298 of N2 in kJ/kmol\n",
+ "h1333_CO2=52075; # h1333_h298 of CO2 in kJ/kmol\n",
+ "h1333_H2O=32644; # h1333_h298 of H2O in kJ/kmol\n",
+ "h1333_N2=32644; # h1333_h298 of N2 in kJ/kmol\n",
+ "M=44; # molecular mass of C3H8\n",
+ "\n",
+ "#Calculation\n",
+ "Ha_H1=h333_C3H8+5*h333_C3H8+18.8*h333_N2; # The enthalpy differences\n",
+ "Hb_H2=3*h1333_CO2+4*h1333_H2O+18.8*h1333_N2; # The enthalpy differences\n",
+ "Q=(del_Ho+Hb_H2/1000-Ha_H1/1000)/M; # Heat transfer from combustion chamber\n",
+ "\n",
+ "#Result\n",
+ "print \"Heat transfer from combustion chamber =\",round(abs (Q),2),\"MJ/kg C3H8\"\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Heat transfer from combustion chamber = 26.33 MJ/kg C3H8\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.8, Page No:656"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Variable declaration\n",
+ "Ha_H1=6220; # From example 14.7 in kJ/kmol\n",
+ "del_Ho=-2039.7; # From example 14.7 LHV in MJ/kmol\n",
+ "\n",
+ "#Calculation\n",
+ "Hb_H2=-del_Ho+Ha_H1; # For adiabatic combustion of C3H8\n",
+ "# Hb_H2=3*h1333_CO2+4*h1333_H2O+18.8*h1333_N2 By iteration process and making use of the values from Table A.3, A.13, A.15\n",
+ "# we can get the adiabatic flame temperature is\n",
+ "Tad=2300;# The adiabatic flame temperature in kelvin\n",
+ "\n",
+ "#Result\n",
+ "print \"The adiabatic flame temperature =\",Tad,\"K\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The adiabatic flame temperature = 2300 K\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.9, Page No:658"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Variable declaration\n",
+ "# (a).Entropy change per kmol of C\n",
+ "# From table 14.1 at 298 K and 1 atm\n",
+ "s_c=5.686; # Absolute entropies of C in kJ/kmol K\n",
+ "s_o2=205.142; # Absolute entropies of o2 in kJ/kmol K\n",
+ "s_co2=213.795; # Absolute entropies of CO2 in kJ/kmol K\n",
+ "\n",
+ "#Calculation for (a)\n",
+ "del_s=s_co2-(s_c+s_o2); # The entropy change \n",
+ "\n",
+ "#Result for (a)\n",
+ "print \"(a).The entropy change = \",del_s,\"kJ/K/kmol C\"\n",
+ "\n",
+ "#Variable declaration for(b)\n",
+ "# (b).Entropy change of universe\n",
+ "Tsurr=298; # Temperature of surroundings in kelvin\n",
+ "\n",
+ "#Calculation for (b)\n",
+ "# From table 14.1 \n",
+ "del_Ho=-393509; # del_hfco2 in kJ/kmol CO2\n",
+ "Q=abs (del_Ho);\n",
+ "del_Ssurr=Q/Tsurr; # Entropy change of surroundings\n",
+ "del_Suniv=del_s+del_Ssurr; #Entropy change of universe\n",
+ "\n",
+ "#Result for (b)\n",
+ "print \"\\n(b).Entropy change of universe = \",del_Suniv,\"kJ/K\"\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a).The entropy change = 2.967 kJ/K/kmol C\n",
+ "\n",
+ "(b).Entropy change of universe = 1322.967 kJ/K\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.10, Page No:659"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "# (a).The product CO2 is also at 298K\n",
+ "Pco=2/3; # Paratial pressure of CO in atm \n",
+ "Po2=1/3; # Paratial pressure of O2 in atm\n",
+ "Pco2=1; # Paratial pressure of CO2 in atm\n",
+ "T0=298; # Temperature of surroundings in kelvin\n",
+ "R_1=8.3143; # Universal gas constant of air in kJ/kmol K\n",
+ "\n",
+ "#Calculation for (a)\n",
+ "# From table 14.1 at 298 K and 1 atm\n",
+ "s_co2=213.795-R_1*math.log (Pco2); # entropies in kJ/kmol K\n",
+ "s_co=197.653-(R_1*math.log (Pco)); # entropies in kJ/kmol K\n",
+ "s_o2=205.03-R_1*math.log (Po2); # entropies in kJ/kmol K\n",
+ "del_Scv=s_co2-s_co-1/2*s_o2; # Entropy change of comtrol volume \n",
+ "# From table 14.1\n",
+ "del_hfco2=-393509; del_hfco=-110525; # Enthalpy of Heat in kJ/kmol\n",
+ "Q= del_hfco2- del_hfco; # Heat transfer (to surroundings)\n",
+ "del_Ssurr=abs(Q)/T0; # Entropy change of surroundings\n",
+ "del_Sgen=del_Scv+del_Ssurr; #Entropy change of universe\n",
+ "\n",
+ "#Result for (a)\n",
+ "print \"(a).The product CO2 is also at 298 K\",\"\\nEntropy change of comtrol volume = \",round(del_Scv,2),\"kJ/K\"\n",
+ "print \"Entropy change of surroundings = \",round(del_Ssurr,2),\"kJ/K\",\"\\nEntropy change of universe = \",round(del_Sgen,3),\"kJ/K\"\n",
+ "\n",
+ "#Calculation for (b)\n",
+ "# (b).The reaction is adiabatic\n",
+ "# Let the adiabatic flame temperature be T. Then since\n",
+ "Q=0;\n",
+ "C_p=44*0.8414;\n",
+ "# From table A.16\n",
+ "T=5057.5; #adiabatic flame temperature in kelvin\n",
+ "s_CO2=213.795+C_p*math.log (T/T0); # entropies in kJ/kmol K\n",
+ "del_Scv=s_CO2-s_co-1/2*s_o2; # Entropy change of comtrol volume \n",
+ "del_Ssurr=abs(Q)/T0; # Entropy change of surroundings\n",
+ "del_Sgen=del_Scv+del_Ssurr; #Entropy change of universe\n",
+ "\n",
+ "#Result for (b)\n",
+ "print \"\\n(b).The reaction is adiabatic\",\"\\nEntropy change of comtrol volume = \",round(del_Scv,3),\"kJ/K\"\n",
+ "print \"Entropy change of surroundings = \",round(del_Ssurr,3),\"kJ/K\",\"\\nEntropy change of universe = \",round(del_Sgen,3),\"kJ/K\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a).The product CO2 is also at 298 K \n",
+ "Entropy change of comtrol volume = -94.31 kJ/K\n",
+ "Entropy change of surroundings = 949.61 kJ/K \n",
+ "Entropy change of universe = 855.299 kJ/K\n",
+ "\n",
+ "(b).The reaction is adiabatic \n",
+ "Entropy change of comtrol volume = 10.517 kJ/K\n",
+ "Entropy change of surroundings = 0.0 kJ/K \n",
+ "Entropy change of universe = 10.517 kJ/K\n"
+ ]
+ }
+ ],
+ "prompt_number": 10
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.11, Page No:661"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Variable declaration\n",
+ "# The Combustion of H2 with Q2 from H2O\n",
+ "#H2(g)+1/2 O2 (g)\u2192H2O(l)+285830 kJ/kmol H2\n",
+ "T0=298; # Temperature of surroundings in kelvin\n",
+ "# From table 14.1 at 298 K\n",
+ "del_hfH2O=-285830; # Enthalpy of Heat in kJ/kmol\n",
+ "s_298H2O=69.94; s_298H2=130.684; s_298O2=205.142; # entropies in kJ/kmol K\n",
+ "\n",
+ "#Calculation\n",
+ "GP_GR=del_hfH2O-T0*(s_298H2O-s_298H2-1/2*s_298O2); # Formation of Gibbs function\n",
+ "GR=0;\n",
+ "GP=GP_GR-GR; # Standard Gibbs function of formation of liquid H2O\n",
+ "\n",
+ "#Result\n",
+ "print \"Standard Gibbs function of formation of liquid H2O = \",round(GP,0),\"kJ/kmol\"\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Standard Gibbs function of formation of liquid H2O = -237162.0 kJ/kmol\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14.12, Page No:662"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Variable declaration\n",
+ "# the combustion equation\n",
+ "# n1C3H8+n2O2+n3 N2 \u2192 n4 CO2+ n5 H2O+n6 O2+n7 N2\n",
+ "T0=298; # Temperature of surroundings in kelvin\n",
+ "# (a).Product species at 25 oC and 1 atm\n",
+ "d_gfC3H8=-24290; d_gfCO2=-394359; d_gfH2O=-228570; # in kJ/kmol\n",
+ "GR=d_gfC3H8;\n",
+ "\n",
+ "#Calculation for (a)\n",
+ "GP=3*d_gfCO2+4*d_gfH2O;\n",
+ "Wmax=GR-GP; # Maximum possible work output\n",
+ "M=44;#Molecular weight\n",
+ "Wmax=Wmax/M;\n",
+ "\n",
+ "#Result for (a)\n",
+ "print \"(a).\",\"\\nMaximum possible work output = \",round(Wmax,3),\"kJ/kg fuel (answer mentioned in the textbook is wrong)\"\n",
+ "\n",
+ "#Calculation for (b)\n",
+ "# (b).The actual partial pressures of products\n",
+ "n1=1; n2=20; n3=75.2;\n",
+ "n4=3; n5=4; n6=15; n7=75.2; # refer equation\n",
+ "SR=19233; SP=19147; # in kJ/K from table\n",
+ "HR=-104680; # in kJ/kmol fuel\n",
+ "d_h0fCO2=-393509; d_h0fH2O=-241818; # in kJ/kmol\n",
+ "HP=3*d_h0fCO2+4*d_h0fH2O;\n",
+ "Wmax=HR-HP-T0*(SR-SP); # Maximum possible work output\n",
+ "Wmax=Wmax/M;\n",
+ "\n",
+ "#Result for (b)\n",
+ "print \"\\n(b).\",\"\\nMaximum possible work output = \",round(Wmax,3),\"kJ/kg (round off error)\"\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a). \n",
+ "Maximum possible work output = 47115.159 kJ/kg fuel (answer mentioned in the textbook is wrong)\n",
+ "\n",
+ "(b). \n",
+ "Maximum possible work output = 45852.068 kJ/kg (round off error)\n"
+ ]
+ }
+ ],
+ "prompt_number": 12
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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