path: root/A_Textbook_Of_Chemical_Engineering_Thermodynamics/ch1.ipynb

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  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Chapter 1 : Introduction and Basic Concepts"
     ]
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Example 1.1, Page no:5 "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "\n",
      "# Variables\n",
      "F = 300; \t\t\t    #[N]\n",
      "g_local = 4.5; \t\t\t#local gravitational acceleration[m/s**2]\n",
      "g_earth = 9.81; \t\t#earth's gravitational acceleration[m/s**2]\n",
      "\n",
      "# Calculations\n",
      "#To find man's mass and weight on earth\n",
      "m = F/g_local;\t\t\t#mass of man[kg]\n",
      "w = m*g_earth; \t\t\t# weight of man on earth[N]\n",
      "\n",
      "# Results\n",
      "print 'Mass of man is %f kg'%m\n",
      "print '\\nWeight of man on earth is %f N'%w\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Mass of man is 66.666667 kg\n",
        "\n",
        "Weight of man on earth is 654.000000 N\n"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Example 1.2, Page no:6 "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "\n",
      "# Variables\n",
      "p1 = 1.15*10**5; \t\t\t#measured pressure[N/m**2]\n",
      "p2 = 1.01325*10**5; \t\t#atmospheric pressure[N/m**2]\n",
      "rho = 2.95*10**3; \t\t\t#specific gravity of fluid\n",
      "g = 9.8067\n",
      "\n",
      "# Calculations\n",
      "#To find height of manometer fluid\n",
      "p = p1-p2; \t     \t\t#difference in pressure\n",
      "h = p/(rho*g); \t\t\t#height of manometer fluid[m]\n",
      "\n",
      "# Results\n",
      "print 'Height of manometer fluid is %f m'%h\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Height of manometer fluid is 0.472697 m\n"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Example 1.3, Page no:8"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "# Variables\n",
      "PE = 1.5*10**3; \t#potential energy[J]\n",
      "m = 10; \t\t\t#mass in kg\n",
      "u = 50; \t\t\t# velocity in m/s\n",
      "g = 9.8067\n",
      "\n",
      "# Calculations\n",
      "h = PE/(m*g);\t\t\t# height from ground in m\n",
      "#Using equation 1.9 (Page no. 8)\n",
      "KE = 0.5*m*(u**2);\t\t\t# Kinetic energy in J\n",
      "\n",
      "# Results\n",
      "print 'Height from ground is %f m'%h\n",
      "print '\\nKinetic Energy of body is %3.2e J'%KE\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Height from ground is 15.295665 m\n",
        "\n",
        "Kinetic Energy of body is 1.25e+04 J\n"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Example 1.4, Page no:9 "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "# Variables\n",
      "#Given\n",
      "F = 600.; \t\t\t#weight in N\n",
      "t = 120.; \t\t\t#time in sec\n",
      "h = 0.18; \t\t\t#height of stairs in m\n",
      "\n",
      "# Calculations\n",
      "#To determine the power developed in man\n",
      "S = 20*h; \t\t\t#total vertical displacement in m\n",
      "W = F*S; \t\t\t#work done in J\n",
      "P = W/t; \t\t\t#power developed\n",
      "\n",
      "# Results\n",
      "print 'Power developed is %i W'%P\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Power developed is 18 W\n"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Example 1.5, Page no:9 "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "\n",
      "\n",
      "import math\n",
      "\n",
      "# Variables\n",
      "#Given:\n",
      "A = (math.pi/4)*(0.1**2); \t\t\t#area in m**2\n",
      "P = 1.01325*10**5; \t\t\t#pressure in N/m**2\n",
      "m = 50; \t\t\t#mass of piston and weight in kg\n",
      "g = 9.81; \t\t\t#acceleration due to gravity (N/m**2)\n",
      "\n",
      "\n",
      "# Calculations and Results\n",
      "#To determine the force exerted pressure work done and change in potential energy\n",
      "#(a)\n",
      "Fa = P*A; \t\t\t#force exerted by atmosphere in N\n",
      "Fp = m*g; \t\t\t#force exerted by piston and weight in N\n",
      "F = Fp+Fa; \t\t\t#total force exerted in N\n",
      "print 'Total force exerted by the atmosphere, the piston and the weight is %f N'%F\n",
      "\n",
      "#(b)\n",
      "Pg = F/A; \t\t\t#pressure of gas in N/m**2\n",
      "print 'Pressure of gas is %5.4e N/m^2'%Pg\n",
      "\n",
      "#(c)\n",
      "S = 0.4; \t\t\t#displacement of gas in m\n",
      "W = F*S; \t\t\t#work done by gas in J\n",
      "print 'Work done by gas is %f J'%W\n",
      "\n",
      "#(d)\n",
      "PE = m*g*S; \t\t\t#change in potential energy in J\n",
      "print 'Change in potential energy is %f J'%PE\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Total force exerted by the atmosphere, the piston and the weight is 1286.304689 N\n",
        "Pressure of gas is 1.6378e+05 N/m^2\n",
        "Work done by gas is 514.521876 J\n",
        "Change in potential energy is 196.200000 J\n"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Example 1.6, Page no:10"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "\n",
      "import math\n",
      "\n",
      "# Variables\n",
      "#P =(2*10**5)*D\n",
      "Df = 2.5; \t\t\t#final diameter (m)\n",
      "Di = 0.5; \t\t\t#initial diameter(m)\n",
      "\n",
      "# Calculations\n",
      "#To determine work done by gas\n",
      "W = (math.pi/4)*10**5*((Df**4)-Di**4);\n",
      "\n",
      "# Results\n",
      "print 'Work done by gas is %6.4e J'%W\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Work done by gas is 3.0631e+06 J\n"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "heading",
     "level": 3,
     "metadata": {},
     "source": [
      "Example 1.7, Page no:19"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "\n",
      "# Variables\n",
      "T = 300.; \t\t\t    #temperature in K\n",
      "P = 6.5*10**5; \t\t\t#pressure in N/m**2\n",
      "Pa = 1.01325*10**5; \t#atmospheric pressure in N/m**2\n",
      "R = 8.314; \t\t\t    #ideal gas constant\n",
      "m = 2.; \t\t\t    #mass of gas (kg)\n",
      "M = 44.; \t\t\t    #molecular weihgt of gas\n",
      "\n",
      "# Calculations\n",
      "#To find the work done on surrounding\n",
      "n = m/M; \t\t\t            # n is number of kmoles\n",
      "Vi = (n*R*10**3*T)/P; \t\t\t# initial volume in m**3\n",
      "Vf = 2*Vi; \t\t            \t#final volume in m**3\n",
      "V = Vf-Vi; \t\t\t            #change in volume\n",
      "Ps = Pa+(5000*9.8067); \t\t\t#pressure on surroundings\n",
      "W = Ps*V; \t\t\t            #work done on the surroundings\n",
      "\n",
      "# Results\n",
      "print 'Work done on surroundings is %5.2e J'%W\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Work done on surroundings is 2.62e+04 J\n"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "from scipy import integrate\n",
      "\n",
      "#Taking 3rd and 2nd order derivative respectively, we get the following expression \n",
      "#x = ((2*10**5*math.pi)/2)*\n",
      "D = lambda x: x**3\n",
      "integ,err = integrate.quad(D,0.5,2.5)\n",
      "print integ\n",
      "#integ,err = integrate.quad(D**3,0.5,2.5)\n",
      "#print integ"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "9.75\n"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
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