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{
"metadata": {
"name": "",
"signature": "sha256:973d427aa265e6008d444ff4e5a0026589bdadc695d5f549c16acb669fdf56e2"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 1. Fundamental Concepts of Thermodynamics"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example Problem 1.1, Page Number 7"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Variable Declaration\n",
"Pi = 3.21e5 #Recommended tyre pressure, Pa\n",
"Ti = -5.00 #Initial Tyre temperature, \u00b0C\n",
"Tf = 28.00 #Final Tyre temperature, \u00b0C\n",
"\n",
"#Calculations\n",
"Ti = 273.16 + Ti\n",
"Tf = 273.16 + Tf\n",
"pf = Pi*Tf/Ti #Final tyre pressure, Pa\n",
"\n",
"#Results\n",
"print 'Final Tyre pressure is %6.2e Pa'%pf"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Final Tyre pressure is 3.61e+05 Pa\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 1.2, Page Number 8"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Variable Declaration\n",
"phe = 1.5 #Pressure in Helium chamber, bar\n",
"vhe = 2.0 #Volume of Helium chamber, L\n",
"pne = 2.5 #Pressure in Neon chamber, bar\n",
"vne = 3.0 #Volume of Neon chamber, L\n",
"pxe = 1.0 #Pressure in Xenon chamber, bar\n",
"vxe = 1.0 #Volume of Xenon chamber, L\n",
"R = 8.314e-2 #Ideal Gas Constant, L.bar/(mol.K)\n",
"T = 298 #Temperature of Gas, K\n",
"#Calculations\n",
"\n",
"nhe = phe*vhe/(R*T) #Number of moles of Helium, mol\n",
"nne = pne*vne/(R*T) #Number of moles of Neon, mol\n",
"nxe = pxe*vxe/(R*T) #Number of moles of Xenon, mol\n",
"n = nhe + nne + nxe #Total number of moles, mol\n",
"V = vhe + vne + vxe #Total volume of system, L\n",
"xhe = nhe/n\n",
"xne = nne/n\n",
"xxe = nxe/n\n",
"P = n*R*T/(V)\n",
"phe = P*xhe #Partial pressure of Helium, bar\n",
"pne = P*xne #Partial pressure of Neon, bar\n",
"pxe = P*xxe #Partial pressure of Xenon, bar\n",
"\n",
"#Results\n",
"print 'Moles of He=%4.3f, Ne=%4.3f and, Xe=%4.3f in mol'%(nhe,nne,nxe) \n",
"print 'Mole fraction of xHe=%4.3f, xNe=%4.3f and, xXe=%4.3f'%(xhe,xne,xxe)\n",
"print 'Final pressure is %4.3f bar'%P\n",
"print 'Partial pressure of pHe=%4.3f, pNe=%4.3f and, pXe=%4.3f in bar'%(phe,pne,pxe)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Moles of He=0.121, Ne=0.303 and, Xe=0.040 in mol\n",
"Mole fraction of xHe=0.261, xNe=0.652 and, xXe=0.087\n",
"Final pressure is 1.917 bar\n",
"Partial pressure of pHe=0.500, pNe=1.250 and, pXe=0.167 in bar\n"
]
}
],
"prompt_number": 10
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 1.4, Page Number 10"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"#Variable Declaration\n",
"T = 300.0 #Nitrogen temperature, K\n",
"v1 = 250.00 #Molar volume, L\n",
"v2 = 0.1 #Molar volume, L\n",
"a = 1.37 #Van der Waals parameter a, bar.dm6/mol2 \n",
"b = 0.0387 #Van der Waals parameter b, dm3/mol\n",
"R = 8.314e-2 #Ideal Gas Constant, L.bar/(mol.K)\n",
"n = 1.\n",
"#Calculations\n",
"\n",
"p1 = n*R*T/v1 \n",
"p2 = n*R*T/v2\n",
"pv1 = n*R*T/(v1-n*b)- n**2*a/v1**2\n",
"pv2 = n*R*T/(v2-n*b)- n**2*a/v2**2\n",
"\n",
"#Results\n",
"print 'Pressure from ideal gas law = %4.2e bar nad from Van der Waals equation = %4.2e bar '%(p1, pv1)\n",
"print 'Pressure from ideal gas law = %4.1f bar nad from Van der Waals equation = %4.1f bar '%(p2, pv2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Pressure from ideal gas law = 9.98e-02 bar nad from Van der Waals equation = 9.98e-02 bar \n",
"Pressure from ideal gas law = 249.4 bar nad from Van der Waals equation = 269.9 bar \n"
]
}
],
"prompt_number": 1
}
],
"metadata": {}
}
]
}
|
