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{
"metadata": {
"name": "",
"signature": "sha256:ae5c10cebc67e59fefae332eaff3aec21c49c3c4a8e87dfaab8a18fadc8340a5"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 16: Kinetic Theory of Gases"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example Problem 16.2, Page Number 400"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from math import sqrt\n",
"\n",
"#Variable Declaration\n",
"R = 8.314 #Ideal Gas Constant, J/(mol.K)\n",
"T = 298 #Temperatureof Gas, K\n",
"MNe = 0.020 #Molecular wt of Ne, kg/mol\n",
"MKr = 0.083 #Molecular wt of Kr, kg/mol\n",
"\n",
"#Calculations\n",
"vmpNe = sqrt(2*R*T/MNe)\n",
"vmpKr = sqrt(2*R*T/MKr)\n",
"\n",
"#Results\n",
"print 'Most probable speed of Ne and Krypton at 298 K are %4.0f, %4.0f m/s'%(vmpNe,vmpKr)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Most probable speed of Ne and Krypton at 298 K are 498, 244\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example Problem 16.2, Page Number 401"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from math import sqrt,pi\n",
"\n",
"#Variable Declaration\n",
"R = 8.314 #Ideal Gas Constant, J/(mol.K)\n",
"T = 298 #Temperatureof Gas, K\n",
"M = 0.040 #Molecular wt of Ar, kg/mol\n",
"\n",
"\n",
"#Calculations\n",
"vmp = sqrt(2*R*T/M)\n",
"vave = sqrt(8*R*T/(M*pi))\n",
"vrms = sqrt(3*R*T/M)\n",
"\n",
"#Results\n",
"print 'Maximum, average, root mean square speed of Ar\\nat 298 K are %4.0f, %4.0f, %4.0f m/s'%(vmp,vave,vrms)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Maximum, average, root mean square speed of Ar\n",
"at 298 K are 352, 397, 431 m/s\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example Problem 16.4, Page Numbe 403"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from math import sqrt,pi\n",
"\n",
"#Variable Declaration\n",
"R = 8.314 #Ideal Gas Constant, J/(mol.K)\n",
"T = 298 #Temperature of Gas, K\n",
"M = 0.040 #Molecular wt of Ar, kg/mol\n",
"P = 101325 #Pressure, N/m2\n",
"NA = 6.022e23 #Number of particles per mol\n",
"V = 1.0 #Volume of Container, L\n",
"\n",
"#Calculations\n",
"Zc = P*NA/sqrt(2*pi*R*T*M)\n",
"Nc = Zc*A\n",
"#Results\n",
"print 'Number of Collisions %4.2e per s'%(Nc)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Number of Collisions 2.45e+27 per s\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example Problem 16.5, Page Number 404"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from math import sqrt, pi\n",
"\n",
"#Variable Declaration\n",
"R = 8.314 #Ideal Gas Constant, J/(mol.K)\n",
"T = 298 #Temperature of Gas, K\n",
"M = 0.040 #Molecular wt of Ar, kg/mol\n",
"P0 = 1013.25 #Pressure, N/m2\n",
"NA = 6.022e23 #Number of particles per mol\n",
"V = 1.0 #Volume of Container, L\n",
"k = 1.38e-23 #Boltzman constant, J/K\n",
"t = 3600 #time of effusion, s\n",
"A = 0.01 #Area, um2\n",
"\n",
"#Calculations\n",
"A = A*1e-12\n",
"V = V*1e-3\n",
"expo = (A*t/V)*(k*T/(2*pi*M/NA))\n",
"P = P0*exp(-expo)\n",
"#Results\n",
"print 'Pressure after 1 hr of effusion is %4.3e Pa'%(P/101325)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Pressure after 1 hr of effusion is 1.00e-02 Pa\n"
]
}
],
"prompt_number": 12
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example Problem 16.6, Page Number 407"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from math import sqrt, pi\n",
"\n",
"#Variable Declaration\n",
"R = 8.314 #Ideal Gas Constant, J/(mol.K)\n",
"T = 298 #Temperature of Gas, K\n",
"M = 0.044 #Molecular wt of CO2, kg/mol\n",
"P = 101325 #Pressure, N/m2\n",
"NA = 6.022e23 #Number of particles per mol\n",
"sigm = 5.2e-19 #m2\n",
"\n",
"#Calculations\n",
"zCO2 = (P*NA/(R*T))*sigm*sqrt(2)*sqrt(8*R*T/(pi*M)) \n",
"#Results\n",
"print 'Single particle collisional frequency is %4.1e per s'%(zCO2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Single particle collisional frequency is 6.9e+09 per s\n"
]
}
],
"prompt_number": 16
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example Problem 16.7, Page Number 407"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from math import sqrt, pi\n",
"\n",
"#Variable Declaration\n",
"R = 8.314 #Ideal Gas Constant, J/(mol.K)\n",
"T = 298 #Temperature of Gas, K\n",
"MAr = 0.04 #Molecular wt of Ar, kg/mol\n",
"MKr = 0.084 #Molecular wt of Kr, kg/mol\n",
"pAr = 360 #Partial Pressure Ar, torr\n",
"pKr = 400 #Partial Pressure Kr, torr\n",
"rAr = 0.17e-9 #Hard sphere radius of Ar, m\n",
"rKr = 0.20e-9 #Hard sphere radius of Kr, m\n",
"NA = 6.022e23 #Number of particles per mol\n",
"k = 1.38e-23 #Boltzman constant, J/K\n",
"\n",
"#Calculations\n",
"pAr = pAr*101325/760\n",
"pKr = pKr*101325/760\n",
"p1 = pAr*NA/(R*T)\n",
"p2 = pKr*NA/(R*T)\n",
"sigm = pi*(rAr+rKr)**2\n",
"mu = MAr*MKr/((MAr+MKr)*NA)\n",
"p3 = sqrt(8*k*T/(pi*mu)) \n",
"zArKr = p1*p2*sigm*p3\n",
"\n",
"#Results\n",
"print 'Collisional frequency is %4.2e m-3s-1'%(zArKr)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Collisional frequency is 3.14e+34 m-3s-1\n"
]
}
],
"prompt_number": 12
}
],
"metadata": {}
}
]
}
|
