From 6279fa19ac6e2a4087df2e6fe985430ecc2c2d5d Mon Sep 17 00:00:00 2001 From: kinitrupti Date: Fri, 12 May 2017 18:53:46 +0530 Subject: Removed duplicates --- Heat_And_Thermodynamics_by_A._Manna/ch13.ipynb | 176 +++++++++++++++++++++++++ 1 file changed, 176 insertions(+) create mode 100755 Heat_And_Thermodynamics_by_A._Manna/ch13.ipynb (limited to 'Heat_And_Thermodynamics_by_A._Manna/ch13.ipynb') diff --git a/Heat_And_Thermodynamics_by_A._Manna/ch13.ipynb b/Heat_And_Thermodynamics_by_A._Manna/ch13.ipynb new file mode 100755 index 00000000..daac0e65 --- /dev/null +++ b/Heat_And_Thermodynamics_by_A._Manna/ch13.ipynb @@ -0,0 +1,176 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 13 : Introduction to statistical thermodynamics" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 13.1 page no : 474" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "p1 = 1./6;\t\t\t#probability for the first throw gives 6\n", + "p2 = 1./6;\t\t\t#probability for the first throw gives 5\n", + "n = 2;\t \t\t#the no.of dice are two\n", + "\n", + "# Calculations\n", + "p = p1*p2*n;\t\t\t#the required probability is\n", + "\n", + "# Result\n", + "print 'the required probability is %3.2f'%(p)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "the required probability is 0.06\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 13.2 pageno : 474" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "p1 = 4./52;\t\t\t#the probability for getting ace in first draw is\n", + "p2 = 3./51;\t\t\t#the probability for getting ace in second draw is\n", + "p3 = 2./50;\t\t\t#the probability for getting ace in third draw is\n", + "p4 = 1./49;\t\t\t#the probability for getting ace in fourth draw is\n", + "\n", + "# Calculations\n", + "p = p1*p2*p3*p4;\t\t\t#total probability is\n", + "\n", + "# Result\n", + "print 'total probability is %3.9f'%(p)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "total probability is 0.000003694\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 13.3 page no : 475" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "n = 12.;\t\t\t#no.of particles\n", + "n1 = 8.;\n", + "n2 = 4.;\n", + "\n", + "# Calculations\n", + "p = n*(n-1)*(n-2)*(n-3)/(n2*(n2-1)*(n2-2)*(2**n));\t\t\t#probability of distribution (8,4)\n", + "\n", + "# Result\n", + "print 'probability of distribution 8(4) is %3.5f'%(p)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "probability of distribution 8(4) is 0.12085\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 13.4 page no: 475" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "m = 32;\t\t\t#mass of the oxygen molecule in gm\n", + "n = 1.67*10**-27;\t\t\t#mass of one electron\n", + "k = 1.38*10**-23;\t\t\t#boltzzmann consmath.tant in ergs/cal\n", + "t = 200;\t\t\t#temperature of the oxygen in K\n", + "c = (100.+101)/2;\t\t\t#average speed of the oxygen molecule in m/s\n", + "\n", + "# Calculations\n", + "a = m*n/(2*3.14*k*t);\n", + "p = 4*3.14*(a**(3./2))*(c**2)*(2.303**(-a));\t\t\t#probability that the oxygen speed is lies between in m/sec\n", + "\n", + "# Result\n", + "print 'probability that the oxygen speed is lies between is %3.6e m/sec'%(p)\n", + "print \"Note : answer is slightly different because of rounding error.\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "probability that the oxygen speed is lies between is 6.867794e-04 m/sec\n", + "Note : answer is slightly different because of rounding error.\n" + ] + } + ], + "prompt_number": 10 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file -- cgit