From fba055ce5aa0955e22bac2413c33493b10ae6532 Mon Sep 17 00:00:00 2001 From: hardythe1 Date: Tue, 5 May 2015 14:21:39 +0530 Subject: add books --- Physical_Chemistry/Chapter_3.ipynb | 878 +++++++++++++++++++++++++++++++++++++ 1 file changed, 878 insertions(+) create mode 100755 Physical_Chemistry/Chapter_3.ipynb (limited to 'Physical_Chemistry/Chapter_3.ipynb') diff --git a/Physical_Chemistry/Chapter_3.ipynb b/Physical_Chemistry/Chapter_3.ipynb new file mode 100755 index 00000000..09238726 --- /dev/null +++ b/Physical_Chemistry/Chapter_3.ipynb @@ -0,0 +1,878 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:e18fb187eca74984e6f3523731bde87a33ea02f1017bfbe68a1eb5fa826002ce" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 3 - First law of Thermodynamics" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1 - pg 129" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#calculate the increase in energy\n", + "#initialisation of variables\n", + "P= 0.0060 #atm\n", + "M=18. #gm\n", + "L=80 #cal/gm\n", + "H=596.1 #cal/gm\n", + "#calculations\n", + "Hs=M*L+M*H\n", + "#results\n", + "print '%s %d %s' %('Net increase in energy = ',Hs,'cal')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Net increase in energy = 12169 cal\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2 - pg 130" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#calculate the increase in energy\n", + "#initialisation of variables\n", + "P= 0.0060 #atm\n", + "V1= 0.0181 #l\n", + "H= -10730 #cal\n", + "V2= 22.4 #l\n", + "#CALCULATIONS\n", + "W= (V2-P*V1)*(1.987/.08205)\n", + "E= H+W\n", + "#RESULTS\n", + "print '%s %d %s' % (' increase in energy=',E,' cal ')\n", + "print 'The answer differs a bit from the textbook due to rounding off error'" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " increase in energy= -10187 cal \n", + "The answer differs a bit from the textbook due to rounding off error\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3 - pg 132" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#calculate the increase in energy\n", + "#initialisation of variables\n", + "T1= 70 #C\n", + "T2= 10 #C\n", + "Cp= 18 #cal mole^-1 deg^-1\n", + "P= 1 #atm\n", + "m= 18. #g\n", + "d= 0.9778 #g/ml\n", + "d1= 0.9997 #g/ml\n", + "e= 1.987 #cal\n", + "x= 82.05 #ml atm\n", + "#CALCULATIONS\n", + "H= Cp*(T1-T2)\n", + "E= H-(e/x)*P*((m/d)-(m/d1))\n", + "#RESULTS\n", + "print '%s %.1f %s' % (' increase in energy=',E,'cal ')\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " increase in energy= 1080.0 cal \n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4 - pg 132" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#calculate the conversion factor\n", + "#initialisation of variables\n", + "i= 1 #amp\n", + "r= 2 #ohms\n", + "t= 10 #min\n", + "dT= 2.73 #C\n", + "x= 0.1 #cal/deg\n", + "x1= 100 #cal/deg\n", + "x2= 5 #cal/deg\n", + "#CALCULATIONS\n", + "w= i**2*r*t*60\n", + "H= (x+x1+x2)*dT\n", + "E= w/H\n", + "#RESULTS\n", + "print '%s %.2f %s' % ('conversion factor =',E,'cal ')\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "conversion factor = 4.18 cal \n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6 - pg 137" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#calculate the heat at constant pressure and volume\n", + "#initialisation of variables\n", + "Cp= 6.0954 #cal /mol deg\n", + "Cp1= 3.2533*10**-3 #cal /mol deg\n", + "Cp2= 1.071*10**-6 #cal /mol deg\n", + "T= 100 #C\n", + "T1= 0 #C\n", + "R= 1.987 #atml/cal K\n", + "#CALULATIONS\n", + "H= Cp*(T-T1)+(Cp1/2)*((T+273.2)**2-(T1+273.2)**2)-(Cp2/3)*((T+273.2)**3-(T1+273.2)**3)\n", + "q= H-R*(T-T1)\n", + "#RESULTS\n", + "print '%s %.1f %s' % (' Heat at constant pressure=',H,'cal ')\n", + "print '%s %.1f %s' % (' \\n Heat at constant volume=',q,'cal ')\n", + "print 'The answer differs a bit from the textbook due to rounding off error'" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Heat at constant pressure= 703.4 cal \n", + " \n", + " Heat at constant volume= 504.7 cal \n", + "The answer differs a bit from the textbook due to rounding off error\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 7 - pg 140" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#calculate the work done in the process\n", + "#initialisation of variables\n", + "vl= 0.019 #l\n", + "vg= 16.07 #l\n", + "h= 1489. #mm of Hg\n", + "#CALCULATIONS\n", + "w= -(h/760)*(vl-vg)*(1.987/0.08206)\n", + "#RESULTS\n", + "print '%s %d %s' % (' Work done=',w,'cal ')\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Work done= 761 cal \n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8 - pg 141" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#calculate the minimum work in both cases\n", + "#initialisation of variables\n", + "import math\n", + "n= 2 #moles\n", + "R= 0.08206 #J/mol K\n", + "T= 25 #C\n", + "b= 0.0428 #lmole^-1\n", + "a= 3.61 #atm l^2 mole^-1\n", + "V1= 20. #l\n", + "V2= 1. #l\n", + "#CALCULATIONS\n", + "w1= n*1.987*(273.2+T)*math.log10(V1/V2) *2.303\n", + "w= (n*R*(273.2+T)*2.303*math.log10((V1-n*b)/(V2-n*b))-a*n**2*((1/V2)-(1/V1)))*(1.987/0.08206)\n", + "#RESULTS\n", + "print '%s %.1f %s' % (' minimum work=',w1,'cal ')\n", + "print '%s %.1f %s' % (' \\n minimum work=',w,'cal ')\n", + "print 'The answer differs a bit from the textbook due to rounding off error'" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " minimum work= 3550.7 cal \n", + " \n", + " minimum work= 3319.5 cal \n", + "The answer differs a bit from the textbook due to rounding off error\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9 - pg 144" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#calculate the final volume and temperature of the gas. Also calculate the work done in the process\n", + "#initialisation of variables\n", + "cv = 5.00 #cal mole^-1 deg^-1\n", + "R= 1.99 #cal mole^-1 deg^-1\n", + "p= 1 #atm\n", + "p1= 100. #atm\n", + "V= 75. #l\n", + "n= 3. #moles\n", + "R1= 0.08206 #cal/mol K\n", + "#CALCULATIONS\n", + "cp= cv+R\n", + "r= cp/cv\n", + "V1= V/(p1/p)**(1/r)\n", + "T2= p1*V1/(n*R1)\n", + "w= (p1*V1-p*V)*R/((r-1)*R1)\n", + "#RESULTS\n", + "print '%s %.2f %s' % (' final volume of gas =',V1,'l ')\n", + "print '%s %d %s' % (' \\n final temperature of gas =',T2,'K ')\n", + "print '%s %d %s' % (' \\n Work done =',w,'cal ')\n", + "print 'The answer differs a bit from the textbook due to rounding off error'" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " final volume of gas = 2.78 l \n", + " \n", + " final temperature of gas = 1130 K \n", + " \n", + " Work done = 12384 cal \n", + "The answer differs a bit from the textbook due to rounding off error\n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10 - pg 144" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#calculate the change in energy and enthalpy\n", + "#initialisation of variables\n", + "cv= 5 #cal mole^-1\n", + "P= 100 #atm\n", + "T= 1130 #K\n", + "T1= 812 #K\n", + "n= 3 #moles\n", + "R= 1.99 #cal/mole K\n", + "#CALCULTIONS\n", + "E= n*cv*(T1-T)\n", + "H= E+n*R*(T1-T)\n", + "#RESULTS\n", + "print '%s %.1f %s' % (' change in energy =',E,'cal ')\n", + "print '%s %.1f %s' % (' \\n change in enthalpy=',H,' cal ')\n", + "print 'The answer differs a bit from the textbook due to rounding off error'" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " change in energy = -4770.0 cal \n", + " \n", + " change in enthalpy= -6668.5 cal \n", + "The answer differs a bit from the textbook due to rounding off error\n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 11 - pg 145" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#calculate the work done and final pressure\n", + "#initialisation of variables\n", + "import math\n", + "k= 1.435 \n", + "k1= 17.845*10**-3 #K**-1\n", + "k2= -4.165*10**-6 #K**-2\n", + "T= 200. #C\n", + "T1= 0. #C\n", + "P= 10. #atm\n", + "R= 1.987 #cal/mol K\n", + "k3= 3.422\n", + "#CALCULATIONS\n", + "W= k*(T-T1)+(k1/2)*((273+T)**2-(273+T1)**2)+(k2/3)*((273+T)**3-(273+T1)**3)\n", + "P2= (P/math.e**((k*math.log((273+T1)/(273+T))+k1*(T1-T)+(k2/2)*((273+T1)**2-(273+T)**2))/R))/100.\n", + "#RESULTS\n", + "print '%s %d %s' % (' work done by methane =',W,'cal ')\n", + "print '%s %.2f %s' % (' \\n final pressure=',P2,'atm ')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " work done by methane = 1499 cal \n", + " \n", + " final pressure= 0.77 atm \n" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12 - pg 150" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#calculate the fraction of liquid\n", + "#initialisation of variables\n", + "P= 100 #atm\n", + "P1= 1 #atm\n", + "R= 1.99 #cal/mol**-1 K**-1\n", + "k= 0.3 #atm**-1\n", + "E= 1600 #cal\n", + "T= -183 #C\n", + "T1= 0 #C\n", + "#CALCULATIONS\n", + "X= (k*3.5*R*(P-P1))/(3.5*R*(T1-T)+E)\n", + "#RESULTS\n", + "print '%s %.3f' % (' fraction of liquid = ',X)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " fraction of liquid = 0.072\n" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 13 - pg 152" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#calculate the enthalpy change of the reaction\n", + "#initialisation of variables\n", + "H= -21.8 #kcal\n", + "H1= 3.3 #kcal\n", + "#CALCULATIONS\n", + "H2= H-H1\n", + "#RESULTS\n", + "print '%s %.1f %s' % (' Enthalpy =',H2,'kcal ')\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Enthalpy = -25.1 kcal \n" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 14 - pg 153" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#calculate the heat of hydrogenation\n", + "#initialisation of variables\n", + "H= -68.317 #kcal\n", + "H1= -310.615 #kcal\n", + "H2= -337.234 #kcal\n", + "R= 1.987 #cal/mol^-1 K^-1\n", + "T= 298.2 #K\n", + "n= 1 #mole\n", + "n1= 1 #mole\n", + "n2= 1 #mole\n", + "#CALCULATIONS\n", + "E= H+H1-H2-(n-n1-n2)*R*T*10**-3\n", + "#RESULTS\n", + "print '%s %.3f %s' % (' Heat of hydrogenation =',E,'kcal ')\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Heat of hydrogenation = -41.105 kcal \n" + ] + } + ], + "prompt_number": 13 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 15 - pg 155" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#calculate the enthalpy of the process\n", + "#initialisation of variables\n", + "Hf= -196.5 #kcal\n", + "H= -399.14 #kcal\n", + "#CALCULATIONS\n", + "H1= (H-Hf)*1000\n", + "#RESULTS\n", + "print '%s %d %s' % (' Enthalpy =',H1,' kcal ')\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Enthalpy = -202640 kcal \n" + ] + } + ], + "prompt_number": 14 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 16 - pg 157" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#calculate the Enthalpy change\n", + "#initialisation of variables\n", + "H= -350.2 #kcal\n", + "H1= -128.67 #kcal\n", + "H2= -216.90 #kcal\n", + "#CALCULATIONS\n", + "H3= H-(H1+H2)\n", + "#RESULTS\n", + "print '%s %.1f %s' % (' Enthalpy =',H3,'kcal ')\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Enthalpy = -4.6 kcal \n" + ] + } + ], + "prompt_number": 15 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 17 - pg 158" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#calculate the enthalpy of the process\n", + "#initialisation of variables\n", + "H= -40.023 #kcal\n", + "H1= -22.063 #kcal\n", + "#CALCULATIONS\n", + "H2= H-H1\n", + "#RESULTS\n", + "print '%s %.3f %s' % (' Enthalpy =',H2,' kcal ')\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Enthalpy = -17.960 kcal \n" + ] + } + ], + "prompt_number": 16 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 18 - pg 162" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#calculate the enthalpy change in the process\n", + "#initialisation of variables\n", + "H= -112.148 #k cal\n", + "H1= 101.99 #k cal\n", + "Hx=-112.148 #kcal\n", + "Hy=-111.015 #kcal\n", + "Hz=-.64\n", + "Hsol=-9.02\n", + "#CALCULATIONS\n", + "H2= H+H1\n", + "H3=2*Hx-2*Hy\n", + "H4=-10*Hz\n", + "H5=Hsol-5*Hz\n", + "#RESULTS\n", + "print '%s %.2f %s' % (' Enthalpy in case 1=',H2,'k cal ')\n", + "print '%s %.3f %s' % (' Enthalpy in case 2=',H3,'k cal ')\n", + "print '%s %.1f %s' % (' Enthalpy in case 3=',H4,'k cal ')\n", + "print '%s %.2f %s' % (' Enthalpy in case 4=',H5,'k cal ')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Enthalpy in case 1= -10.16 k cal \n", + " Enthalpy in case 2= -2.266 k cal \n", + " Enthalpy in case 3= 6.4 k cal \n", + " Enthalpy in case 4= -5.82 k cal \n" + ] + } + ], + "prompt_number": 34 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 19 - pg 167" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#calculate the dE and dH in the process\n", + "#initialisation of variables\n", + "cp=18.\n", + "T2=373 #K\n", + "T1=298 #K\n", + "T3=403.2 #K\n", + "hvap=9713 #cal\n", + "H4= 0 #cal\n", + "E4= 0 #cal\n", + "a=7.1873\n", + "b=2.3733e-3\n", + "c=.2084e-6\n", + "R=1.987\n", + "#RESULTS\n", + "H1=cp*(T2-T1)\n", + "H2=hvap\n", + "H3=a*(T3-T2) + b/2 *(T3**2-T2**2) + c/3 *(T3**3-T2**3)\n", + "E1=H1\n", + "E2=H2-R*T2\n", + "E3=H3-R*(T3-T2)\n", + "H= H1+H2+H3+H4\n", + "E= E1+E2+E3+E4\n", + "#RESULTS\n", + "print '%s %d %s' % (' Enthalpy=',H,'cal ')\n", + "print '%s %d %s' % (' \\n Energy=',E,' cal ')\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Enthalpy= 11308 cal \n", + " \n", + " Energy= 10507 cal \n" + ] + } + ], + "prompt_number": 18 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 20 - pg 171" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#calculate the enthalpy change \n", + "#initialisation of variables\n", + "H= -114009.8 #cal\n", + "x= -5.6146 #K**-1\n", + "y= 0.9466*10**-3 #K**-2\n", + "z= 0.1578*10**-6 #K**-3\n", + "T= 1000\n", + "#CALCULATIONS\n", + "H1= H+x*T+y*T**2+z*T**3\n", + "#RESULTS\n", + "print '%s %.1f %s' %(' Enthalpy =',H1,'cal ')\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Enthalpy = -118520.0 cal \n" + ] + } + ], + "prompt_number": 19 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 21 - pg 173" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#caculate the temperature achieved\n", + "#Initialization of variables\n", + "import numpy\n", + "a=72.3639\n", + "b=36.2399e-3\n", + "c=3.7621e-6\n", + "H=214920\n", + "#calculations\n", + "vec=([-c/3,b/2,a,-H])\n", + "vec2=numpy.roots(vec)\n", + "vec22=(vec2[2])\n", + "#results\n", + "print '%s %.1f %s' %('The required temperature observed is', vec22,'K')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The required temperature observed is 2059.4 K\n" + ] + } + ], + "prompt_number": 24 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 22 - pg 175" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#calculate the change in enthalpy\n", + "#initialisation of variables\n", + "T= 298 #K\n", + "R= 1.987 #atmcc/mol K\n", + "x= 128.16\n", + "y= 0.9241\n", + "H= -8739 #cal\n", + "n1= 10 #mol\n", + "n2= 12 #mol\n", + "#CALCULATIONS\n", + "E= (x/y)*H\n", + "H= (E+R*T*(n1-n2))/1000\n", + "#RESULTS\n", + "print '%s %.1f %s' %(' Enthalpy =',H,'kcal mole^-1 ')\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Enthalpy = -1213.2 kcal mole^-1 \n" + ] + } + ], + "prompt_number": 21 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file -- cgit