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diff --git a/Principles_of_physics/chapter6.ipynb b/Principles_of_physics/chapter6.ipynb new file mode 100755 index 00000000..4159f312 --- /dev/null +++ b/Principles_of_physics/chapter6.ipynb @@ -0,0 +1,219 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:07e7b9e13f5186e21c37c016dc92fe3d2ec9f35cd561874f30d6be57401876f8"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 6 Real Gas and Transport Processes in gas"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "EXample 6.1 Page no 89"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#given\n",
+ "a=(2.1*10**-2) #Vanderwaals constant a for neon gas in Nm^4/mol^2\n",
+ "b=(1.71*10**-5) #Vanderwaals constant b for neon gas in m^3/mol\n",
+ "R=8.314 #Gas constant in J/mol.K\n",
+ "\n",
+ "#Calculations\n",
+ "Tc=(8*a)/(27*b*R)\n",
+ "Vc=(3*b)/10.0**-5\n",
+ "Pc=(a/(27*b**2))/10.0**6\n",
+ "\n",
+ "#Output \n",
+ "print\"Critical temperature is \",round(Tc,2),\"K\" \n",
+ "print\"Critical volume is \",round(Vc,2),\"* 10**-5 m**3/mol\"\n",
+ "print\"Critical pressure is \",round(Pc,3),\"* 10**6 N/m**2\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Critical temperature is 43.77 K\n",
+ "Critical volume is 5.13 * 10**-5 m**3/mol\n",
+ "Critical pressure is 2.66 * 10**6 N/m**2\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.2 Page no 89"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#given\n",
+ "n=181*10**-6 #Coefficient of viscosity of a gas in p\n",
+ "v=3*10**4 #Average speed of molecules in cm/s\n",
+ "d=1.2929*10**-3 #Density in g/cm^3\n",
+ "\n",
+ "#Calculations\n",
+ "lembda=((3*n)/(d*v))/10**-6\n",
+ "\n",
+ "#Output\n",
+ "print\"Mean free path is \",round(lembda,0),\"* 10^-6 cm\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Mean free path is 14.0 * 10^-6 cm\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.3 Page no 89"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#given\n",
+ "m=(28*1.66*10**-27) #Molecular mass of a gas in kg\n",
+ "d=(3.48*10**-10) #Diameter in m\n",
+ "k=(1.38*10**-23) #Boltzmans constant in J/K\n",
+ "P=1.01*10**5 #Pressure at STP in N/m^2\n",
+ "T=273 #Temperature at STP in K\n",
+ "\n",
+ "#Calculations\n",
+ "import math\n",
+ "D=((1/(P*3*d**2*math.sqrt(m)))*((2*k*T)/3.14)**(3/2.0))/10.0**-5\n",
+ "\n",
+ "#Output\n",
+ "print\"Diffusion coefficient of a gas at STP is \",round(D,2),\"* 10**-5 m^2/s\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Diffusion coefficient of a gas at STP is 1.49 * 10**-5 m^2/s\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.4 Page no 89"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#given\n",
+ "m=(32*1.66*10**-27) #Molecular mass of a gas in kg\n",
+ "d=(3.65*10**-10) #Diameter in m\n",
+ "k=(1.38*10**-23) #Boltzmans constant in J/K\n",
+ "P=1.01*10**5 #Pressure at STP in N/m^2\n",
+ "T=273 #Temperature at STP in K\n",
+ "\n",
+ "#Calculations\n",
+ "import math\n",
+ "n=((1/(3.14*d**2))*math.sqrt((8*k*T*m)/(9*3.14)))/10**-5\n",
+ "\n",
+ "#Output\n",
+ "print\"Viscosity of a gas at STP is \",round(n,3),\"*10^-5 N.s/m^2\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Viscosity of a gas at STP is 1.799 *10^-5 N.s/m^2\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.5 Page no 89"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#given\n",
+ "v=460 #Average speed of molecules in m/s\n",
+ "l=(720*10**-10) #Mean free path in m\n",
+ "Cv=21.06 #Specific heat at constant volume in J/K.mol\n",
+ "k=(1.38*10**-23) #Boltzmans constant in J/K\n",
+ "P=1.01*10**5 #Pressure at STP in N/m^2\n",
+ "T=273 #Temperature at STP in K\n",
+ "N=6.022*10**23 #Avagadro constant\n",
+ "\n",
+ "#Calculations\n",
+ "K=((1/3.0)*(Cv/N)*(P/(k*T))*v*l)/10.0**-2\n",
+ "\n",
+ "#Output\n",
+ "print\"Thermal conductivity of the gas at STP is \",round(K,5),\"*10**-2 W/m-K\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Thermal conductivity of the gas at STP is 1.03506 *10**-2 W/m-K\n"
+ ]
+ }
+ ],
+ "prompt_number": 10
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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