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authorPrashant S2020-04-14 10:25:32 +0530
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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
+}