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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Chapter 13: Introduction to statistical thermodynamics"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 13.1: The_probability.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"clc\n",
"clear\n",
"\n",
"//INPUT\n",
"p1=1/6;//probability for the first throw gives 6\n",
"p2=1/6;//probability for the first throw gives 5\n",
"n=2;//the no.of dice are two\n",
"\n",
"//CALCULATIONS\n",
"p=p1*p2*n;//the required probability is\n",
"\n",
"//OUTPUT\n",
"mprintf('the required probability is %3.2f',p)"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 13.2: The_probability_of_drawing_four_aces.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"clc\n",
"clear\n",
"\n",
"//INPUT\n",
"p1=4/52;//the probability for getting ace in first draw is\n",
"p2=3/51;//the probability for getting ace in second draw is\n",
"p3=2/50;//the probability for getting ace in third draw is\n",
"p4=1/49;//the probability for getting ace in fourth draw is\n",
"\n",
"//CALCULATIONS\n",
"p=p1*p2*p3*p4;//total probability is\n",
"\n",
"//OUTPUT\n",
"mprintf('total probability is %3.7f',p)"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 13.3: The_probability_of_distributio.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"clc\n",
"clear\n",
"\n",
"//INPUT\n",
"n=12;//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));//probability of distribution (8,4)\n",
"\n",
"//OUTPUT\n",
"mprintf('probability of distribution (8,4) is %3.5f',p)"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 13.4: The_probability.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"clc\n",
"clear\n",
"\n",
"//INPUT\n",
"m=32;//mass of the oxygen molecule in gm\n",
"n=1.67*10^-27;//mass of one electron\n",
"k=1.38*10^-23;//boltzzmann constant in ergs/cal\n",
"t=200;//temperature of the oxygen in K\n",
"c=(100+101)/2;//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));//probability that the oxygen speed is lies between in m/sec\n",
"\n",
"//OUTPUT\n",
"mprintf('probability that the oxygen speed is lies between is %3.16f m/sec',p)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Scilab",
"language": "scilab",
"name": "scilab"
},
"language_info": {
"file_extension": ".sce",
"help_links": [
{
"text": "MetaKernel Magics",
"url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
}
],
"mimetype": "text/x-octave",
"name": "scilab",
"version": "0.7.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
|
