{ "metadata": { "name": "", "signature": "sha256:6c1a77947ef3aadf1ffc1910414edb715436af612d196c62287eaa1f52dff688" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter 4 : Change of State\n" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 4.1 Page No : 106" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "# Input data\n", "m = 1000. # Mass of Ice in gms\n", "Sp = 0.5 # Specific heat of Ice in cal/g-K\n", "t1 = -10 # Initial temperature of Ice in degree centigrade\n", "t2 = 0. # The final temperature of Ice in degree centigrade\n", "Li = 80. # Latent heat of fusion of ice in cals per gram\n", "Ls = 540. # Latent heat of fusion of steam in cals per gram\n", "\n", "# Calculations\n", "h1 = m * -t1 * Sp # Heat required to raise the temperature of Ice in cals\n", "h2 = m * Li # Heat required to melt ice at 0 degree centigrade in cals\n", "h3 = m * 100 # Heat required to raise the temperature of water from 0 to 100 degree centigrade in cals\n", "h4 = m * Ls # Heat required to convert water into steam at 100 degree centigrade in cals\n", "T = h1 + h2 + h3 + h4 # Total quantity of heat required in cals\n", "\n", "# Output\n", "print 'Total quantity of heat required is %3.0f cals ' % (T)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Total quantity of heat required is 725000 cals \n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 4.2 Page No : 112" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "# Input data\n", "m = 1. # Mass of steam in gms\n", "Ls = 537. # Latent heat of fusion of steam in cal per gram\n", "mi = 100. # mass of ice in gms\n", "Li = 80. # Latent heat of fusion of ice in cal per gram\n", "\n", "# Calculations\n", "h1 = m * Ls # Heat given out by one gram of steam when converted from steam into water at 100 degree centigrade in cals\n", "h2 = 1. * 100 # Heat given out by one gram of water when cooled from 100 to 0 degree centigrade in cals\n", "h = h1 + h2 # Total quantity of heat given out by one gram of steam in cals\n", "m = h / Li # The amount of Ice melted in gms\n", "\n", "# Output\n", "print 'The amount of Ice melted is m = %3.2f gms ' % (m)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The amount of Ice melted is m = 7.96 gms \n" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 4.3 Page No : 115" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "# Input data\n", "m = 100. # Mass of water in gms\n", "tw = 40. # The temperature of water in degree centigrade\n", "mi = 52. # Mass of Ice in gms\n", "Lw = 100. # Latent heat of fusion of water in cals per gram\n", "Li = 80. # Latent heat of fusion of Ice in cals per gram\n", "\n", "# Calculations\n", "h = Lw * tw # Heat lost by water when its temperature falls from 40 to 0 degree centigrade in cals\n", "hi = mi * Li # Heat gained by Ice in cals\n", "hg = h # The amount of heat gained by Ice in cals\n", "ml = (hg / Li) # The amount of Ice melted in gms\n", "M = mi - ml # The amount of ice remaining in gms\n", "W = m + (mi - M) # The amount of water in gms\n", "\n", "# Output\n", "print 'The remaining Ice is %3.0f g \\n Hence the result will be %3.0f g of Ice and %3.0f g of water at 0 degree centigrade ' % (M, M, W)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The remaining Ice is 2 g \n", " Hence the result will be 2 g of Ice and 150 g of water at 0 degree centigrade \n" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 4.4 Page No : 121" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "# Input data\n", "m = 100. # Let the mass of water in gms\n", "t = 15. # Time taken for an electric kettle to heat a certain quantity of water from 0 to 100 degree centigrade in minutes\n", "T = 80. # Time taken to turn all the water at 100 degree centigrade into steam in minutes\n", "Lw = 100. # Latent heat of fusion of water in cals per gram\n", "\n", "# Calculations\n", "h1 = m * Lw # Heat required to raise its temperature from 0 to 100 degree centigrade in cals\n", "h2 = h1 # Heat produced by electric kettle in 15 minutes in cals\n", "h3 = h2 / 15 # Heat produced by electric kettle in 1 minute in cals\n", "h4 = h3 * 80 # Heat produced by electric kettle in 80 minutes in cals\n", "L = h4 / m # Latent heat of steam in cal/g\n", "\n", "# Output\n", "print 'The latent heat of steam is L = %3.2f cal/g ' % (L)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The latent heat of steam is L = 533.33 cal/g \n" ] } ], "prompt_number": 4 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 4.5 Page No : 123" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "# Input data\n", "m = 50. # Mass of water in gms\n", "t1 = 15. # Initial temperature in degree centigrade\n", "t2 = -20 # Final temperature in degree centigrade\n", "Sp = 0.5 # Specific heat of Ice in cal/g-K\n", "Li = 80. # Latent heat of fusion of Ice in cals per gram\n", "\n", "# Calculations\n", "h1 = m * 1 * t1 # Heat removed in cooling water from 15 to 0 degree centigrade in cal\n", "h2 = m * Li # Heat removed in converting water into Ice at 0 degree centigrade in cal\n", "h3 = m * Sp * -t2 # Heat removed in cooling ice from 0 to -20 degree centigrade in cal\n", "H = h1 + h2 + h3 # Total heat removed in one hour in cal\n", "H1 = H / 60 # Heat removed per minute in cal/minute\n", "\n", "# Output\n", "print 'The Quantity of heat removed per minute is %3.1f cal/minute ' % (H1)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The Quantity of heat removed per minute is 87.5 cal/minute \n" ] } ], "prompt_number": 5 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 4.6 Page No : 128" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Input data\n", "M = 20. # Mass of the substance in g\n", "t = 100. # The temperature of the substance in degree centigrade\n", "a = 1. / 100 # Area of cross section in cm**2\n", "l = 5. # The length of the coloumn through which liquid moves in cm\n", "V1 = 1000. # The volume of water in cm**3\n", "V2 = 1090. # The volume of Ice from the volume of water on freezing in cm**3\n", "Li = 80. # Latent heat of Ice in cals per gram\n", "\n", "# Calculations\n", "V = V2 - V1 # The decrease in volume of Ice in cm**3\n", "Vi = V / 1000 # The decrease in volume when one gram of ice melts in cm**3\n", "v = l * a # Decrease in volume in cm**3\n", "# Specific heat of the substance incal/g degree centigrade\n", "S = (Li * v) / (Vi * M * t)\n", "\n", "# Output\n", "print 'The specific heat of the substance is %3.3f cal/g.degree centigrade ' % (S)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The specific heat of the substance is 0.022 cal/g.degree centigrade \n" ] } ], "prompt_number": 6 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 4.7 Page No : 132" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Input data\n", "M = 27. # The mass of the substance in g\n", "t = 100. # The temperature of the substance in degree centigrade\n", "a = 3. / 100 # Area of cross section in cm**2\n", "l = 10. # The length of the coloumn through which liquid moves in cm\n", "Li = 80. # Latent heat of Ice in cals per gram\n", "V1 = 1000. # The volume of water in cm**3\n", "V2 = 1090. # The volume of Ice from the volume of water on freezing in cm**3\n", "\n", "# Calculations\n", "v = l * a # Decrease in volume in cm**3\n", "V = V2 - V1 # The decrease in volume of Ice in cm**3\n", "Vi = V / 1000 # The decrease in volume when one gram of ice melts in cm**3\n", "# Specific heat of the substance incal/g degree centigrade\n", "S = (Li * v) / (Vi * M * t)\n", "\n", "# Output\n", "print 'The specific heat of the substance is %3.3f cal/g.degree centigrade ' % (S)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The specific heat of the substance is 0.099 cal/g.degree centigrade \n" ] } ], "prompt_number": 7 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 4.8 Page No : 134" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "# Input data\n", "t = 16.5 # The temperature of air in degree centigrade\n", "d = 6.5 # The dew point in degree centigrade\n", "s1 = 7.05 # S.V.P at 6 degree centigrade in mm\n", "s2 = 7.51 # S.V.P at 7 degree centigrade in mm\n", "s3 = 13.62 # S.V.P at 16 degree centigrade in mm\n", "s4 = 14.42 # S.V.P at 17 degree centigrade in mm\n", "\n", "# Calculations\n", "s5 = (s1 + s2) / 2 # S.V.P at 6.5 degree centigrade in mm\n", "s6 = (s3 + s4) / 2 # S.V.P at 16.5 degree centigrade in mm\n", "R = (s5 / s6) * 100 # Relative humidity of air in percent\n", "\n", "# Output\n", "print 'The percentage relative humidity of air is R.H = %3.1f percent ' % (R)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The percentage relative humidity of air is R.H = 51.9 percent \n" ] } ], "prompt_number": 8 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 4.9 Page No : 140" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "# Input data\n", "R = 52. # The relative humidity of air in percent\n", "t = 20. # The temperature of air in degree centigrade\n", "s1 = 17.5 # S.V.P of water at 20 degree centigrade in mm\n", "s2 = 9.2 # S.V.P of water at 10 degree centigrade in mm\n", "s3 = 8.6 # S.V.P of water at 9 degree centigrade in mm\n", "\n", "# Calculations\n", "s4 = (R / 100) * s1 # S.V.P at dew point in mm\n", "s5 = s2 - s3 # S.V.P for 1 degree centigrade difference in mm\n", "# The dew point temperature in degree centigrade\n", "d = 9. + ((s4 - s3) / (s2 - s3))\n", "\n", "# Output\n", "print 'The dew point temperature is %3.2f degree centigrade ' % (d)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The dew point temperature is 9.83 degree centigrade \n" ] } ], "prompt_number": 9 } ], "metadata": {} } ] }