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authorTrupti Kini2016-02-03 23:30:17 +0600
committerTrupti Kini2016-02-03 23:30:17 +0600
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Added(A)/Deleted(D) following books
A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/Chapter3.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/Chapter4.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/Chapter5.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/Chapter7.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter10.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter12.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter13.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter14.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter15.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter16.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter17.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter19.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter20.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter21.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter22.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter23.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter24.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter25.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter26.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter27.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter28.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter29.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter30.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter31.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter32.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter33.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter34.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter35.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter36.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter6.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/chapter9.ipynb A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/screenshots/chapter32.png A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/screenshots/chapter331.png A A_Textbook_of_Applied_Electronics_by_R_S_Sedha/screenshots/chapter332.png A Chemical_Engineering_Thermodynamics___by_S._Sundaram/ch10_1.ipynb A Chemical_Engineering_Thermodynamics___by_S._Sundaram/ch11_1.ipynb A Chemical_Engineering_Thermodynamics___by_S._Sundaram/ch12_1.ipynb A Chemical_Engineering_Thermodynamics___by_S._Sundaram/ch13_1.ipynb A Chemical_Engineering_Thermodynamics___by_S._Sundaram/ch14_1.ipynb A Chemical_Engineering_Thermodynamics___by_S._Sundaram/ch15_1.ipynb A Chemical_Engineering_Thermodynamics___by_S._Sundaram/ch1_1.ipynb A Chemical_Engineering_Thermodynamics___by_S._Sundaram/ch2_1.ipynb A Chemical_Engineering_Thermodynamics___by_S._Sundaram/ch3_1.ipynb A Chemical_Engineering_Thermodynamics___by_S._Sundaram/ch4_1.ipynb A Chemical_Engineering_Thermodynamics___by_S._Sundaram/ch5_1.ipynb A Chemical_Engineering_Thermodynamics___by_S._Sundaram/ch7_1.ipynb A Chemical_Engineering_Thermodynamics___by_S._Sundaram/ch8_1.ipynb A Chemical_Engineering_Thermodynamics___by_S._Sundaram/ch9_1.ipynb A Chemical_Engineering_Thermodynamics___by_S._Sundaram/screenshots/TaVSN2_1.png A Chemical_Engineering_Thermodynamics___by_S._Sundaram/screenshots/TempVSMoleFraction13_1.png A Chemical_Engineering_Thermodynamics___by_S._Sundaram/screenshots/Tempvsequlibrum14_1.png
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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:3938cdb77cb1cf91b5da41037c46803e1323bc2d84e6ed7eb8e8d2a220b8bc11"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 2 : P V T Relations"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.1 Page No : 29"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math \n",
+ "\n",
+ "#Given\n",
+ "m = 140 #m is the mass of N2 in Kg\n",
+ "P = 4.052*(10**5) #P is the pressure of the system in Pa\n",
+ "V = 30 #V is the volume of the system in m**3\n",
+ "R = 8314.4 # R is the gas consmath.tant\n",
+ "\n",
+ "#To determine temperature required\n",
+ "T = P*V/float(((m/28)*R)) #T is the temperature of the system in K\n",
+ "print \"Temperature of the system is \",\n",
+ "print \"%.6f\"%T,\n",
+ "print \"K\"\n",
+ "#end\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Temperature of the system is 292.408352 K\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.5 Page No : 33"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "import numpy\n",
+ "from numpy.polynomial import Polynomial as poly\n",
+ "\n",
+ "\n",
+ "#Given\n",
+ "n = 1 #n is Kg moles of methane\n",
+ "T = 423 #T is the temperatue of the system in kelvin\n",
+ "P = float(100) #P is the pressure of the system in atm\n",
+ "Tc = 191 #Tc is the critical temperature of the system in K\n",
+ "Pc = 45.8 #Pc is the critical pressure of the system in atm\n",
+ "R = 0.08206 #R is the gas consmath.tant in (m**3 atm/Kg mole K)\n",
+ "\n",
+ "#To calculate the volume of methane\n",
+ "#(i)Umath.sing ideal gas equation\n",
+ "V1 = (n*R*T)/P #V1 is the volume of the gas in m**3\n",
+ "print \"i)Volume of the gas umath.sing ideal gas equation is \",\n",
+ "print \"%.6f\"%V1,\n",
+ "print \"cubic meter\"\n",
+ "\n",
+ "#(ii)Umath.sing Vander Waals' equation\n",
+ "a = (27*(R**2)*(Tc**2))/(64*Pc) #Vander Waais consmath.tant\n",
+ "b = (R*Tc)/(8*Pc) #Vander Waais consmath.tant\n",
+ "q = numpy.poly1d([1,-(((R*T)+(b*P))/P),-((a*b)/P)+(a/P),0])\n",
+ "r = numpy.roots(q)\n",
+ "print \" ii)Volume of the gas umath.sing Vander Waals equation is\",\n",
+ "print \"%.6f\"%r[0],\n",
+ "print \"cubic meter\"\n",
+ "\n",
+ "#(iii)Umath.sing generalized Z chart\n",
+ "Tr = T/Tc #Tr is the reduced temperatue\n",
+ "Pr = P/Pc #Pr is the reduced pressure\n",
+ "#From the figure A.2.2,\n",
+ "Z = 0.97 #Z is the compressibility factor\n",
+ "V = (Z*R*T)/P \n",
+ "print \" iii)Volume of the gas umath.sing Z chart is \",\n",
+ "print \"%.6f\"%V,\n",
+ "print \"cubic meter\"\n",
+ "\n",
+ "#(iv)Umath.sing molar polarisation method\n",
+ "#From Table 2.2\n",
+ "Pmc = 6.82 #Pmc is the molar polarisation for methane\n",
+ "#From figure A.2.4\n",
+ "Z0 = .965 \n",
+ "Z1 = 14.8*(10**-4)\n",
+ "Z = Z0+(Z1*Pmc)\n",
+ "V = (Z*R*T)/P\n",
+ "print \" iv)Volume of the gas umath.sing molar polarisation method is \",\n",
+ "print \"%.6f\"%V,\n",
+ "print \"cubic meter\"\n",
+ "\n",
+ "\n",
+ "#(v)From experiment\n",
+ "#Given\n",
+ "Z = 0.9848\n",
+ "V = (0.9848*n*R*T)/P\n",
+ "print \" v)Volume of the gas calculated by experimental Z value is \",\n",
+ "print \"%.6f\"%V,\n",
+ "print \"cubic meter\"\n",
+ "#end\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "i)Volume of the gas umath.sing ideal gas equation is 0.347114 cubic meter\n",
+ " ii)Volume of the gas umath.sing Vander Waals equation is"
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " 0.322787 cubic meter\n",
+ " iii)Volume of the gas umath.sing Z chart is 0.336700 cubic meter\n",
+ " iv)Volume of the gas umath.sing molar polarisation method is 0.338468 cubic meter\n",
+ " v)Volume of the gas calculated by experimental Z value is 0.341838 cubic meter\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.6 Page No : 35"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "%matplotlib inline\n",
+ "import math\n",
+ "import matplotlib.pyplot as plt\n",
+ "import numpy\n",
+ "\n",
+ "#Given\n",
+ "P1 = 266\n",
+ "T1 = 473.16#Initial temperature in Kelvin\n",
+ "T2 = 273.16#Final temperature in Kelvin\n",
+ "V1 = 80\n",
+ "V2 = 80 #Initial & final volume in litres\n",
+ "N1 = (14.28/28)\n",
+ "N2 = (14.28/28) #Initial and final Kg moles are equal\n",
+ "Tc = 126 #Critical temperature of N2 in K\n",
+ "Pc = 33.5#Critical pressure of N2 in atm\n",
+ "\n",
+ "#To calculate the final pressure achieved\n",
+ "#(i)Umath.sing ideal gas law\n",
+ "p2 = (P1*V1*N2*T2)/(V2*N1*T1);\n",
+ "print \"i)Final pressure of N2 using ideal gas law is \",\n",
+ "print \"%.6f\"%p2,\n",
+ "print \"atm\"\n",
+ "\n",
+ "#(ii)Umath.sing generalized Z chart\n",
+ "Tr1 = T1/Tc#reduced initial temp in k\n",
+ "Pr1 = P1/Pc #reduced initial press in K\n",
+ "#From the Z-chart compressibility factor coressponding to the above Tr1 &Pr1 is\n",
+ "Z1 = 1.07\n",
+ "P2 = [125,135,150]\n",
+ "Z2 = [0.95, 0.96, 0.98]\n",
+ "F = [];\n",
+ "for i in range(0,3):\n",
+ " F.append((P2[i]/(Z2[i]*T2))-(P1/(Z1*T1)));\n",
+ "plt.plot(P2,F)\n",
+ "plt.ylabel(\"F\")\n",
+ "plt.xlabel(\"P2\")\n",
+ "plt.title(\"P2 vs F\")\n",
+ "plt.show()\n",
+ "P3 = numpy.interp(0,F,P2);\n",
+ "print \" ii)Final pressure of N2 from Z chart is \",\n",
+ "print \"%.6f\"%P3,\n",
+ "print \" atm\"\n",
+ "#(iii)Umath.sing Pseudo reduced density chart\n",
+ "R = 0.082 #gas consmath.tant\n",
+ "v = V1/N1 #Volume per moles of nitrogen in m**3/Kg mole\n",
+ "Dr = (R*Tc)/(Pc*v)\n",
+ "Tr2 = T2/Tc #final reduced temp in K\n",
+ "#From figure A.2.1, reduced pressure coressponding to this Dr and Tr2 is\n",
+ "Pr2 = 4.1#final reduced pressure in atm\n",
+ "p2_ = Pr2*Pc\n",
+ "print \" iii)Final pressure achieved umath.sing Dr chart is \",\n",
+ "print \"%.6f\"%p2_,\n",
+ "print \"atm\"\n",
+ "#end\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "i)Final pressure of N2 using ideal gas law is 153.564460 atm\n"
+ ]
+ },
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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+ "text": [
+ "<matplotlib.figure.Figure at 0x1108b2610>"
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " ii)Final pressure of N2 from Z chart is 138.489629 atm\n",
+ " iii)Final pressure achieved umath.sing Dr chart is 137.350000 atm\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.7 Page No : 36"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math \n",
+ "\n",
+ "#Given\n",
+ "n = 1 #n is the Kg mole of methane gas\n",
+ "T = 298 #T is the consmath.tant temperature in K\n",
+ "P1 = 1 #P1 is the initial pressure of the system\n",
+ "P2 = 100 #P2 is the final pressure of the system\n",
+ "R = 8314.4 #R is the gas consmath.tant in Nm/Kgmole deg K\n",
+ "\n",
+ "#To compute the work required\n",
+ "#(i)Umath.sing ideal gas law\n",
+ "W = R*T*math.log(P1/float(P2))\n",
+ "print \"i)Work done by the system if the gas obeys ideal gas law is \",\n",
+ "print \"%.2e\"%W,\n",
+ "print \n",
+ "\n",
+ "#(ii)Umath.sing Vander Waals' equation\n",
+ "#Given\n",
+ "#For methane\n",
+ "a = 2.32*(10**5) #Vander Wals' consmath.tant a in N/m**2\n",
+ "b = 0.0428 #Vanderwaals' consmath.tant b in m**3\n",
+ "#V1 and V2 are evaluated by trial and error umath.sing Vanderwaals' equation as P1 and P2 are known\n",
+ "V1 = 11.1 #initial volume of the gas in m**3\n",
+ "V2 = 0.089 #final volume of the gas in m**3\n",
+ "W = (R*T*math.log((V2-b)/(V1-b)))+(a*((1/V2)-(1/V1)))\n",
+ "print \" ii)Work done by the system if the gas obeys Vander Waals equation is \",\n",
+ "print \"%.2e\"%W,\n",
+ "print \"Nm\"\n",
+ "#end\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "i)Work done by the system if the gas obeys ideal gas law is -1.14e+07\n",
+ " ii)Work done by the system if the gas obeys Vander Waals equation is -1.10e+07 Nm\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.8 Page No : 38"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "%matplotlib inline\n",
+ "import math\n",
+ "import matplotlib.pyplot as plt\n",
+ "import numpy\n",
+ "\n",
+ "#Given\n",
+ "V = 27*(10**-3) #Volume of the container in m**3\n",
+ "n = (15/70.91) #n is the Kg moles of chlorine\n",
+ "T = float(293)#T is the temperature in K\n",
+ "R = 0.08206\n",
+ "P = pow(10,(4.39-(1045/293))) #P is the vapour pressure of chlorine\n",
+ "Pc = 76.1 #Critical pressure of Chlorine\n",
+ "Tc = float(417) #Critical temperature of Chlorine \n",
+ "Pr = P/Pc #Reduced pressure of Chlorine\n",
+ "Tr = T/Tc #Critical temperature of Chlorine\n",
+ "M = 70.91 #Molecular weight of the Chlorine\n",
+ "\n",
+ "#To determine the vapour pressure of chlorine, amount of liquid Cl2 and temperature required\n",
+ "#(i)Specific volume of liquid Chlorine\n",
+ "#From figure A.2.2\n",
+ "Zg = 0.93\n",
+ "#From figure A.2.6\n",
+ "Zl = 0.013\n",
+ "vl = ((Zl*R*T)/P)\n",
+ "print \"i)Specific volume of liquid Chlorine from compressibility chart is \",\n",
+ "print \"%.6f\"%vl,\n",
+ "print \"cubic meter /Kgmole\"\n",
+ "\n",
+ "#From Francis relation, taking the consmath.tants from Table 2.3\n",
+ "D = (1.606-(216*(10**-5)*20)-(28/(200-20)))*10**3 #Density of liq Cl2 in Kg/m**3\n",
+ "Vl = M/D;\n",
+ "print \" Specific volume of liquid Chlorine from Francis relation is \",\n",
+ "print \"%.6f\"%Vl,\n",
+ "print \"cubic meter /Kgmole\"\n",
+ "\n",
+ "#(ii)Amount of liquid Cl2 present in the cylinder\n",
+ "vg = ((Zg*R*T)/P)\n",
+ "V1 = V-vg #V1 is the volume of liquid Chlorine\n",
+ "Vct = 0.027 #volume of the container\n",
+ "Vg = (0.212-(Vct/vl))/((1/vg)-(1/vl)) #By material balance\n",
+ "W = ((V-Vg)*70.9)/vl \n",
+ "print \" ii)Weight of Chlorine at 20deg cel is \",\n",
+ "print \"%.6f\"%W\n",
+ "print \"Kg\"\n",
+ "\n",
+ "#(iii)Calculation of temperature required to evaporate all the liquid chlorine\n",
+ "#math.log P' = 4.39 - 1045/T (given)\n",
+ "#Assume the various temperature\n",
+ "Ng = 0.212#total Kg moles of gas\n",
+ "Ta = [413,415,417]\n",
+ "N = [0,0,0]\n",
+ "for i in range(0,3):\n",
+ " Tr = Ta[i]/Tc #reduced temperature in K\n",
+ " P = pow(10,(4.39-(1045/Ta[i])))\n",
+ " Pr = P/Pc #reduced pressure in K\n",
+ "#From the compressibility factor chart,Z values coressponding to the above Tr &Pr are given as\n",
+ " Z = [0.4,0.328,0.208]\n",
+ " N[i] = (P*Vct)/(Z[i]*R*Ta[i])\n",
+ "#end\n",
+ "\n",
+ "\n",
+ "plt.plot(N,Ta)\n",
+ "plt.ylabel(\"Ta\")\n",
+ "plt.xlabel(\"N\")\n",
+ "plt.title(\"Ta vs N\")\n",
+ "plt.show()\n",
+ "T1 = numpy.interp(0.212,N,Ta) #in K\n",
+ "print \" iii)The temperature required to evaporate all the liquid chlorine is \",\n",
+ "print \"%.6f\"%(T1-273),\n",
+ "print \"deg celsius\"\n",
+ "#end\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "i)Specific volume of liquid Chlorine from compressibility chart is 0.012733 cubic meter /Kgmole\n",
+ " Specific volume of liquid Chlorine from Francis relation is 0.045374 cubic meter /Kgmole\n",
+ " ii)Weight of Chlorine at 20deg cel is 13.112602\n",
+ "Kg\n"
+ ]
+ },
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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we3zCT3z79sHDD8Pbb7sdiYikkmQeik25imTsWPjiC3j6abcjERGv0q12j5VS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\nGvJ1b2hx8QAAAABJRU5ErkJggg==\n",
+ "text": [
+ "<matplotlib.figure.Figure at 0x1108b5a50>"
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ " iii)The temperature required to evaporate all the liquid chlorine is 140.000000 deg celsius\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.9 Page No : 40"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "import numpy\n",
+ "\n",
+ "\n",
+ "#Given\n",
+ "N1 = 0.7 #Kg mole of CH4\n",
+ "N2 = 0.3 #Kg mole of N2\n",
+ "R = 0.08206 #Gas consmath.tant\n",
+ "T = float(323) #Temperature in Kelvin\n",
+ "V = 0.04 #Volume in m**3\n",
+ "a1 = 2.280\n",
+ "b1 = 0.0428 #Vanderwaals consmath.tants for CH4\n",
+ "a2 = 1.345\n",
+ "b2 = 0.0386 #Vanderwaals consmath.tants for N2\n",
+ "Tc1 = 191\n",
+ "Pc1 = 45.8 #Critical temperature in K and pressure of CH4 in atm\n",
+ "Tc2 = 126\n",
+ "Pc2 = 33.5 #Critical temperature in K and pressure of N2 in atm\n",
+ "\n",
+ "#To find Approx Value\n",
+ "def approx(V,n):\n",
+ " A = numpy.around([V*pow(10,n)])/pow(10,n)\n",
+ " return A[0]\n",
+ "\n",
+ "#To calculate the pressure exerted by the gas mixture\n",
+ "#(i)Umath.sing ideal gas law\n",
+ "P = (N1+N2)*((R*T)/V)\n",
+ "print \"i) Pressure exerted by the gas mixture umath.sing ideal gas law is \",\n",
+ "print \"%d\"%P,\n",
+ "print \"atm\"\n",
+ "\n",
+ "#(ii)Umath.sing Vander waal equation\n",
+ "P1 = ((N1*R*T)/(V-(N1*b1)))-((a1*(N1**2))/(V**2)) #Partial pressure of CH4\n",
+ "P2 = ((N2*R*T)/(V-(N2*b2)))-((a2*(N2**2))/(V**2)) #Partial pressure of N2\n",
+ "Pt = P1+P2 \n",
+ "print \"ii) Pressure exerted by the gas mixture umath.sing Vander waal equation is \",\n",
+ "print \"%.6f\"%Pt,\n",
+ "print \"atm\"\n",
+ "\n",
+ "#(iii)Umath.sing Zchart and Dalton's law\n",
+ "Tra = T/Tc1 #reduced temperature of CH4\n",
+ "Trb = T/Tc2 #reduced temperature of N2\n",
+ "#Asssume the pressure\n",
+ "P = [660,732,793,815,831]\n",
+ "Pa =[]\n",
+ "Pb = []\n",
+ "Pra = []\n",
+ "Prb = []\n",
+ "for i in range(0,5):\n",
+ " Pa.append(N1*P[i]) # partial pressure of CH4 for the ith total pressure\n",
+ " Pb.append(N2*P[i]) # partial pressure of N2 for the ith total pressure\n",
+ " Pra.append(Pa[i]/Pc1) #reduced pressure of CH4 for the ith total pressure\n",
+ " Prb.append(Pb[i]/Pc2) #reduced pressure of N2 for the ith total pressure\n",
+ "#end\n",
+ "\n",
+ "#For the above Pr and Tr values compressibility factors from the figure A.2.3 are given as\n",
+ "Za = [1.154,1.280,1.331,1.370,1.390] #Z values of CH4 \n",
+ "Zb = [1,1,1,1,1]#Z values of N2\n",
+ "V3 = 0.0421\n",
+ "for i in range(0,5):\n",
+ " Pa[i] = Za[i]*N1*((R*T)/V);#partial pressure of CH4 coressponding to the ith total presure\n",
+ " Pb[i] = Zb[i]*N2*((R*T)/V);#partial pressure of N2 coressponding to the ith total pressure\n",
+ " Pt = Pa[i]+Pb[i] #total pressure of the gas mixture\n",
+ " if Pt-P[i] < 15:\n",
+ " print \"iii) pressure exerted by the gas mixture umath.sing Z chart and Dalton Law is \",\n",
+ " print \"%d\"%Pt,\n",
+ " print \"atm\"\n",
+ " #end\n",
+ "#end\n",
+ "\n",
+ "#(iv)Umath.sing Amagat's law and Z chart\n",
+ "P = [1000,1200,1500,1700]\n",
+ "for i in range(0,4):\n",
+ " Pra[i] = P[i]/Pc1\n",
+ " Prb[i] = P[i]/Pc2\n",
+ "#end\n",
+ "#For the above Pr and Tr values compressibility factors from the figure A.2.3 are given as\n",
+ "Za = [1.87,2.14,2.52,2.77]\n",
+ "Zb = [1.80,2.10,2.37,2.54]\n",
+ "Va = []\n",
+ "Vb = []\n",
+ "V1 = []\n",
+ "for i in range(0,4):\n",
+ " Va.append(approx((N1*Za[i]*((R*T)/P[i])),4))\n",
+ " Vb.append(approx((N2*Zb[i]*((R*T)/P[i])),4))\n",
+ " V1.append(approx((Va[i]+Vb[i]),4))\n",
+ " if V1[i]-V <= 0.003:\n",
+ " print \"iv) Pressure exerted by the gas mixture umath.sing Amagat law and Zchart is \",\n",
+ " print \"%d\"%P[i],\n",
+ " print \"atm\"\n",
+ "#end\n",
+ "#end\n",
+ "#end\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "i) Pressure exerted by the gas mixture umath.sing ideal gas law is 662 atm\n",
+ "ii) Pressure exerted by the gas mixture umath.sing Vander waal equation is 1353.867785 atm\n",
+ "iii) pressure exerted by the gas mixture umath.sing Z chart and Dalton Law is 843 atm\n",
+ "iv) Pressure exerted by the gas mixture umath.sing Amagat law and Zchart is 1700 atm\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2.10 Page No : 41"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math \n",
+ "\n",
+ "#Given\n",
+ "yN2 = 1.0/4 #mole faction of N2 in the mixture\n",
+ "yH2 = 3.0/4 #mole fraction of H2 in the mixture\n",
+ "V = 5.7 #V is the rate at which mixture enters in m**3 in 1 hour\n",
+ "P = float(600) #P is in atm\n",
+ "T = float(298) #T is in K\n",
+ "TcN2 = float(126) #critical temp of N2 in K\n",
+ "TcH2 = 33.3 #critical temp of H2 in K\n",
+ "TcNh3 = 406.0 #critical temp of NH3 in K\n",
+ "PcN2 = 33.5 #critical pressure of N2 in atm\n",
+ "PcH2 = 12.8 #critical pressure of H2 in atm\n",
+ "PcNH3 = 111.0 #critical pressure of NH3 in atm\n",
+ "R = 0.082 #gas consmath.tant\n",
+ "\n",
+ "#To calculate the amount of ammonia leaving the reactor and the velocity of gaseous product leaving the reactor\n",
+ "#(i)Calculation of amount of NH3 leaving the reactor\n",
+ "Tcm = (TcN2*yN2)+(TcH2*yH2) #critical temperature of the mixture\n",
+ "Pcm = (PcN2*yN2)+(PcH2*yH2) #critical pressure of the mixture\n",
+ "Trm = T/Tcm \n",
+ "Prm = P/Pcm \n",
+ "#From figure A.2.3\n",
+ "Zm = 1.57 #compressibility factor of the mixture\n",
+ "N = (P*V)/(Zm*R*T) #Kg mole of the mixture \n",
+ "N1 = 0.25*N #Kg mole of N2 in feed\n",
+ "#N2+3H2 - 2NH3\n",
+ "W = 2*0.15*N1*17 \n",
+ "print \"i)Ammonia formed per hour is \",\n",
+ "print \"%.6f\"%W,\n",
+ "print \"Kg\"\n",
+ "\n",
+ "#(ii)Calculation of velocity\n",
+ "N1 = 0.25*N-(0.25*N*0.15) #Kg mole of N2 after reactor\n",
+ "N2 = 0.75*N-(0.75*N*0.15) #Kg mole of H2 after reactor\n",
+ "N3 = 0.25*N*2*0.15 #Kg mole of NH3 after reactor\n",
+ "Nt = N1+N2+N3 #total Kg moles after reactor\n",
+ "y1NH3 = N3/Nt #mole fraction of NH3 after reactor\n",
+ "y1N2 = N1/Nt #mole fraction of N2 after reactor\n",
+ "y1H2 = N2/Nt #mole fraction of H2 after reactor\n",
+ "T1cm = (TcN2*y1N2)+(TcH2*y1H2) \n",
+ "P1cm = (PcN2*y1N2)+(PcH2*y1H2) \n",
+ "T1 = 448 #in K\n",
+ "P1 = 550 #in atm\n",
+ "T1rm = T1/T1cm \n",
+ "P1rm = P1/P1cm\n",
+ "#From Figure A.2.2\n",
+ "Zm1 = 1.38\n",
+ "V1 = (Zm1*Nt*R*T1)/P1\n",
+ "d = 5*(10**-2)#diameter of pipe\n",
+ "v = V1/((math.pi/4)*(d**2)*3600)\n",
+ "print \"ii)Velocity in pipe is \",\n",
+ "print \"%.6f\"%v,\n",
+ "print \"m/s\"\n",
+ "#end\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "i)Ammonia formed per hour is 113.659704 Kg\n",
+ "ii)Velocity in pipe is 1.075261 m/s\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file