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-{
- "metadata": {
- "name": ""
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "Chapter 8 : Humidity and Humidity chart"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.1 pageno : 206"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "# variables \n",
- "T = 280. #K\n",
- "P = 105. #kPa\n",
- "Pas = 13.25 #kPa ( Vpaour pressure of acetone )\n",
- "Pa = Pas # ( As gas is saturated, partial pressure = vapour pressure )\n",
- "\n",
- "# Calculation \n",
- "Mfr = Pa / P #(Mole fraction) \n",
- "Mpr = Mfr * 100 \n",
- "print \"(a)The mole percent of acetone in the mixture = %.2f %%\"%Mpr\n",
- "Ma = 58.048 #(molecular weight of acetone)\n",
- "Mn = 28. #(molecular weight of nitrogen)\n",
- "N = 1. #mole\n",
- "Na = Mfr * N \n",
- "Nn = N - Na \n",
- "ma = Na * Ma \n",
- "mn = Nn * Mn \n",
- "mtotal = ma + mn \n",
- "maper = ma *100 / mtotal \n",
- "mnper = mn *100/ mtotal \n",
- "\n",
- "# Result\n",
- "print \"(b)Weight percent of acetone = %.2f %%\"%maper\n",
- "print \"Weight percent of nitrogen = %.2f %%\"%mnper\n",
- "Vstp = 22.4 #m**3/kmol\n",
- "Pstp = 101.3 #kPa\n",
- "Tstp = 273.15 #K\n",
- "V = Vstp * Pstp * T / ( Tstp * P ) \n",
- "C = ma/V \n",
- "print \"(c)Concentration of vapour = %.4f kg/m**3\"%C\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "(a)The mole percent of acetone in the mixture = 12.62 %\n",
- "(b)Weight percent of acetone = 23.04 %\n",
- "Weight percent of nitrogen = 76.96 %\n",
- "(c)Concentration of vapour = 0.3307 kg/m**3\n"
- ]
- }
- ],
- "prompt_number": 1
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.2 pageno : 207"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math \n",
- "\n",
- "# Variables \n",
- "P = 101.3 #kPa\n",
- "Per1 = 10. #%\n",
- "\n",
- "# Calculation \n",
- "Pa = P * Per1 / 100 # ( a - benzene )\n",
- "Ps = Pa #( saturation )\n",
- "#lnPs = 13.8858 - 2788.51/(T - 52.36)\n",
- "T = 2788.51 / ( 13.8858 - math.log(Ps)) + 52.36 \n",
- "\n",
- "# Result\n",
- "print \"Temperature at which saturation occurs = %.1f K\"%T\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Temperature at which saturation occurs = 293.4 K\n"
- ]
- }
- ],
- "prompt_number": 2
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.3 pageno : 207"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "# variables \n",
- "Pdryair = 101.3 #kPa\n",
- "Pacetone = 16.82 #kPa\n",
- "\n",
- "# Calculation \n",
- "Nratio = Pacetone / (Pdryair - Pacetone) \n",
- "mratio = Nratio * 58.048 / 29 # ( Macetone = 58.048, Mair = 29 )\n",
- "macetone = 5. #kg ( given )\n",
- "mdryair = macetone / mratio \n",
- "\n",
- "# Result\n",
- "print \"Minimum air required = %.2f kg\"%mdryair\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Minimum air required = 12.55 kg\n"
- ]
- }
- ],
- "prompt_number": 3
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.4 pageno : 209"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math \n",
- "\n",
- "# Variables \n",
- "Pa = 15. #kPa ( partial pressure of acetone)\n",
- "Ptotal = 101.3 #kPa\n",
- "\n",
- "# Calculation and Result \n",
- "Mfr = Pa / Ptotal \n",
- "print \"(a)Mole fraction of acetone = %.4f \"%Mfr\n",
- "Macetone = 58.048 \n",
- "Mnitrogen = 28. \n",
- "mafr = Mfr * Macetone / ( Mfr * Macetone + (1-Mfr)* Mnitrogen ) \n",
- "print \"(b)Weight fraction of acetone = %.4f\"%mafr\n",
- "Y = Mfr / ( 1 - Mfr ) \n",
- "print \"(c)Molal humidity = %.4f\"%Y,\"moles of acetone/moles of nitrogen\"\n",
- "Y1 = Y * Macetone / Mnitrogen \n",
- "print \"(d)Absolute humidity = %.4f\"%Y1,\"kg acetone/kg nitrogen\"\n",
- "Pas = 26.36 #kPa ( vapour pressure)\n",
- "Ys = Pas / ( Ptotal - Pas) #saturation humidity\n",
- "print \"(e)Saturation humidity = %.4f\"%Ys,\"moles of acetone/moles of nitrogen\"\n",
- "Y1s = Ys * Macetone / Mnitrogen \n",
- "print \"(f)Absolute saturation humidity = %.4f\"%Y1s,\"kg acetone/kg nitrogen\"\n",
- "V = 100. #m**3\n",
- "Vstp =22.4143 #m**3/kmol\n",
- "Pstp = 101.3 #kPa\n",
- "Tstp = 273.15 #K\n",
- "T = 295. #K\n",
- "N = V * Ptotal * Tstp / (Vstp * Pstp * T ) \n",
- "Nacetone = N * Mfr \n",
- "macetone = Nacetone * Macetone \n",
- "print \"(g)Mass of acetone in 100m**3 of the total gas = %.1f\"%macetone,\"kg\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "(a)Mole fraction of acetone = 0.1481 \n",
- "(b)Weight fraction of acetone = 0.2649\n",
- "(c)Molal humidity = 0.1738 moles of acetone/moles of nitrogen\n",
- "(d)Absolute humidity = 0.3603 kg acetone/kg nitrogen\n",
- "(e)Saturation humidity = 0.3517 moles of acetone/moles of nitrogen\n",
- "(f)Absolute saturation humidity = 0.7292 kg acetone/kg nitrogen\n",
- "(g)Mass of acetone in 100m**3 of the total gas = 35.5 kg\n"
- ]
- }
- ],
- "prompt_number": 5
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.5 pageno : 211"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "# variables \n",
- "Pa = 15. #kPa ( Partial pressure )\n",
- "Pas = 26.36 #kPa ( Vapour pressure )\n",
- "\n",
- "# Calculation \n",
- "RS = Pa * 100 / Pas \n",
- "Y = 0.1738 \n",
- "Ys = 0.3517 \n",
- "PS = Y * 100 / Ys \n",
- "\n",
- "# Result\n",
- "print \"Relative humidity = %.1f\"%RS,\"%\"\n",
- "print \"Percent humidity = %.2f\"%PS,\"%\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Relative humidity = 56.9 %\n",
- "Percent humidity = 49.42 %\n"
- ]
- }
- ],
- "prompt_number": 7
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.6 page no : 211"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math \n",
- "\n",
- "# Variables \n",
- "mwater = 0.0109 #kg\n",
- "V = 1. #m**3\n",
- "T = 300. #K\n",
- "P = 101.3 #kPa\n",
- "Vstp =22.4143 #m**3/kmol\n",
- "Pstp = 101.3 #kPa\n",
- "Tstp = 273.15 #K\n",
- "\n",
- "# Calculation \n",
- "N = V * P * Tstp / (Vstp * Pstp * T ) \n",
- "Nwater = mwater / 18.016 \n",
- "Nfr = Nwater / N \n",
- "Pwater = Nfr * P \n",
- "\n",
- "# Result\n",
- "print \"(a)Partial pressure of water vapour = %.2f\"%Pwater,\"kPa\"\n",
- "Ps = math.exp(16.26205 - 3799.887/(T - 46.854)) \n",
- "RS = Pwater * 100 / Ps \n",
- "print \"(b)Relative saturation = %.2f\"%RS,\"%\"\n",
- "Y1 = Pwater *18 / ((P - Pwater)*29) \n",
- "print \"(c)Absolute humidity = %.2e\"%Y1,\"kg water / kg dry air\"\n",
- "Y1s = Ps *18 / ((P - Ps)*29) \n",
- "PS1 = Y1 * 100 / Y1s \n",
- "print \"(d)Percent saturation = %.2f\"%PS1,\"%\"\n",
- "PS = 10. #%\n",
- "Y1S = Y1 * 100/PS \n",
- "#Y1S = Pas/(P - Pas ) * 18 /29\n",
- "Pas1 = 29 * P * Y1S / (18 + 29*Y1s) \n",
- "T1 = 3799.887 / (16.26205-math.log(Pas1)) + 46.854 \n",
- "print \"(e)Temperature at which 10%% saturation occurs = %.1f\"%T1,\"K\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "(a)Partial pressure of water vapour = 1.51 kPa\n",
- "(b)Relative saturation = 43.17 %\n",
- "(c)Absolute humidity = 9.38e-03 kg water / kg dry air\n",
- "(d)Percent saturation = 42.31 %\n",
- "(e)Temperature at which 10% saturation occurs = 326.9 K\n"
- ]
- }
- ],
- "prompt_number": 11
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.7 page no : 213"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "# variables \n",
- "T = 300. #K\n",
- "P = 100. #kPa\n",
- "S = 25000. #kJ/m**3\n",
- "T1= 295. #K\n",
- "P1 = 105. #kPa\n",
- "RS = 50. #%\n",
- "Ps = 3.5 #kPa\n",
- "Ps1 = 2.6 #kPa\n",
- "Vstp = 22.4143 #m**3/kmol\n",
- "Pstp = 101.3 #kPa\n",
- "Tstp = 273.15 #K\n",
- "V = 1. #m**3\n",
- "\n",
- "# Calculation \n",
- "N = V * P * Tstp/(Vstp * Pstp * T) \n",
- "Nfuel = N * (P - Ps)/P \n",
- "Smol = S / Nfuel #kJ/kmol\n",
- "N1 = V * P1 * Tstp/(Vstp * Pstp * T1) \n",
- "Pwater = Ps1 * RS /100 \n",
- "Nfuel1 = N1 * (P1 - Pwater )/P1 \n",
- "S1 = Smol * Nfuel1 \n",
- "\n",
- "# Result\n",
- "print \"Heating value of gas at 295K and 105kPa = %.f\"%S1,\"kJ/m**3\"\n",
- "\n",
- "# note : answer may vary because of rounding error.\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Heating value of gas at 295K and 105kPa = 27321 kJ/m**3\n"
- ]
- }
- ],
- "prompt_number": 13
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.8 pageno : 215"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math \n",
- "# Variables \n",
- "T = 300. #K\n",
- "T1 = 335. #K\n",
- "P = 150. #kPa\n",
- "\n",
- "# Calculation \n",
- "#lnPs = 13.8858 - 2788.51 / ( T - 52.36)\n",
- "Ps = math.exp(13.8858 - 2788.51 / ( T - 52.36)) \n",
- "Ps1 = math.exp(13.8858 - 2788.51 / ( T1 - 52.36)) \n",
- "Pa = Ps #(Vapour pressure at dew point is equal to the partial pressure of the vapour)\n",
- "Y = Pa / (P - Pa) \n",
- "Ys = Ps1 / (P - Ps1) \n",
- "PS = Y * 100 / Ys \n",
- "\n",
- "# Result \n",
- "print \"(a)Percent saturation = %.2f\"%PS,\"%\"\n",
- "Ma = 78.048 \n",
- "Mb = 28 \n",
- "Q = Y * Ma / Mb \n",
- "print \"(b)Quantity of benzene per kilgram of nitrogen = %.4f\"%Q,\"kg benzene/kg nitrogen\"\n",
- "V = 1. #m**3 ( basis )\n",
- "Vstp = 22.4143 #m**3/kmol\n",
- "Pstp = 101.3 #kPa\n",
- "Tstp = 273.15 #K\n",
- "N = V * P * Tstp/(Vstp * Pstp * T1) \n",
- "y = Y / ( 1 + Y ) \n",
- "Nbenzene = N * y \n",
- "C = Nbenzene * Ma \n",
- "print \"(c)Kilogram of benzene per m**3 of nitrogen = %.4f\"%C,\"kg/m**3\"\n",
- "P1 = 100. #kPa\n",
- "Pbenzene = y * P1 \n",
- "T1 = 2788.51 / ( 13.8858 - math.log (Pbenzene)) + 52.36 \n",
- "print \"(d)Dew point = %.2f\"%T1,\"K\"\n",
- "Per1 = 60 #%\n",
- "Y2 = Y * (1- Per1/100.) \n",
- "#Y2 = Pa / (P - Pa)\n",
- "P = Pa / Y2 + Pa \n",
- "print \"(e)Pressure required = %.1f\"%P,\"kPa\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "(a)Percent saturation = 17.17 %\n",
- "(b)Quantity of benzene per kilgram of nitrogen = 0.2827 kg benzene/kg nitrogen\n",
- "(c)Kilogram of benzene per m**3 of nitrogen = 0.3871 kg/m**3\n",
- "(d)Dew point = 291.39 K\n",
- "(e)Pressure required = 354.3 kPa\n"
- ]
- }
- ],
- "prompt_number": 16
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.9 pageno : 216"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "# variables \n",
- "T = 300. #K\n",
- "T1 = 285. #K\n",
- "Pwater = 3.56 #kPa\n",
- "Pwater1 = 1.4 #kPa\n",
- "V = 1. #m**3 ( Basis )\n",
- "Vstp = 22.4143 #m**3/kmol\n",
- "\n",
- "# Calculation \n",
- "N = V / Vstp \n",
- "Pstp = 101.3 #kPa\n",
- "Y = Pwater / (Pstp - Pwater) \n",
- "Y1 = Pwater1 / (Pstp - Pwater1) \n",
- "Nremoved = Y - Y1 \n",
- "Ndryair = N * 1 / (1 + Y) \n",
- "mremoved = Ndryair * Nremoved * 18.016 \n",
- "\n",
- "# Result\n",
- "print \"(a)amount of water removed = %.4f\"%mremoved,\"kg\"\n",
- "Nremaining = Ndryair * Y1 \n",
- "V1 = (Ndryair + Nremaining) * Vstp \n",
- "print \"(b)Volume of gas at stp after drying = %.4f\"%V1,\"m**3\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "(a)amount of water removed = 0.0174 kg\n",
- "(b)Volume of gas at stp after drying = 0.9784 m**3\n"
- ]
- }
- ],
- "prompt_number": 18
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.11 page no : 220"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "# variables \n",
- "Td = 328. #K ( dry bulb )\n",
- "P = 101.3 #kPa\n",
- "PS = 10. #%\n",
- "#refering to the psychometric chart, corresponding to 328 K and 10% saturation\n",
- "Y1 = 0.012 #kg water / kg dry air\n",
- "print \"(a)Absolute humidity = \",Y1,\"kg water / kg dry air\"\n",
- "#Y1 = Pa * 18 / ( P - Pa ) * 29\n",
- "\n",
- "# Calculation \n",
- "Pa = Y1 * P * 29 /( 18 + Y1 * 29 ) \n",
- "\n",
- "# Result\n",
- "print \"(b)Partial Pressure of water vapour = %.3f\"%Pa,\"kPa\"\n",
- "#using psychometric chart, saturation humidity at 328 K is given as\n",
- "Y1s = 0.115 #kg water / kg dry air\n",
- "print \"(c)The absolute humidity at 328K = \",Y1s,\"kg water / kg dry air\"\n",
- "#at saturation partial pressure = vapour pressure\n",
- "Pas = Y1s * P * 29 /( 18 + Y1s * 29 ) \n",
- "print \"(d)Vapour Pressure of water vapour = %.1f\"%Pas,\"kPa\"\n",
- "RS = Pa * 100 / Pas \n",
- "print \"(e)Percent relative saturation = %.2f\"%RS,\"%\"\n",
- "#using psychometric chart, moving horizontally keeping humidity constant to 100% saturation, we get dew point as,\n",
- "T = 290. #K\n",
- "print \"(f)Dew point = \",T,\"K\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "(a)Absolute humidity = 0.012 kg water / kg dry air\n",
- "(b)Partial Pressure of water vapour = 1.921 kPa\n",
- "(c)The absolute humidity at 328K = 0.115 kg water / kg dry air\n",
- "(d)Vapour Pressure of water vapour = 15.8 kPa\n",
- "(e)Percent relative saturation = 12.13 %\n",
- "(f)Dew point = 290.0 K\n"
- ]
- }
- ],
- "prompt_number": 20
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.12 pageno : 222"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "# variables \n",
- "Ca = 1.884 #kJ/kgK\n",
- "Cb = 1.005 #kJ/kgK\n",
- "Y1 = 0.012 \n",
- "\n",
- "# Calculation \n",
- "#Cs = Cb + Y1 * Ca\n",
- "Cs = Cb + Y1 * Ca \n",
- "\n",
- "# Result\n",
- "print \"Humid heat of the sample = %.4f\"%Cs,\"kJ/kgK\"\n",
- "P = 101.3 #kPa\n",
- "V = 100. #m**3\n",
- "R = 8.314 \n",
- "T = 328. #K\n",
- "T1 = 373. #K\n",
- "N = P * V / ( R * T ) \n",
- "Pa = 1.921 #kPa\n",
- "Ndryair = N * (P - Pa)/P \n",
- "mdryair = Ndryair * 29 \n",
- "Ht = mdryair * Cs * (T1 - T) \n",
- "print \"Heat to be supplied = %.f\"%Ht,\"kJ\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Humid heat of the sample = 1.0276 kJ/kgK\n",
- "Heat to be supplied = 4887 kJ\n"
- ]
- }
- ],
- "prompt_number": 22
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.14 pageno : 224"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "# variables \n",
- "P = 101.3 #kPa\n",
- "MW = 58. \n",
- "T1 = 280.8 #K\n",
- "Ps = 5. #kPa\n",
- "pr = 2. #kJ/kgK ( Psychometric ratio )\n",
- "Hvap = 360. #kJ/kg\n",
- "Tw = T1 \n",
- "\n",
- "# Calculation \n",
- "Yw1 = Ps * MW / (( P - Ps) * 29) \n",
- "# Tw = Tg - Hvap * ( Yw1 - Y1) / (hG / kY), where hG/kY is the psychmetric ratio pr\n",
- "Y1 = 0 \n",
- "Tg = Tw + Hvap * ( Yw1 - Y1) / pr \n",
- "\n",
- "# Result\n",
- "print \"The air temperature = %.2f\"%Tg,\"K\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "The air temperature = 299.49 K\n"
- ]
- }
- ],
- "prompt_number": 23
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.15 pageno : 225"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "# variables \n",
- "Td = 353.2 #K\n",
- "Tw = 308. #K\n",
- "Hvap = 2418.5 #kJ/kg\n",
- "pr = 0.950 #kJ/kg\n",
- "Ps = 5.62 #kPa\n",
- "P = 101.3 #kPa\n",
- "\n",
- "# Calculation \n",
- "Yw1 = (Ps * 18)/ (( P - Ps) * 29) \n",
- "Y1 = Yw1 - pr * ( Td - Tw ) / Hvap \n",
- "\n",
- "# Result\n",
- "print \"Humidity = %.4f\"%Y1,\"kg water/kg dry air\"\n",
- "#humidity can also be directly obtained from psychometric chart, which we get to be 0.018 kg water/kg dry air\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Humidity = 0.0187 kg water/kg dry air\n"
- ]
- }
- ],
- "prompt_number": 24
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.16 page no : 227"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "%pylab inline\n",
- "\n",
- "import math\n",
- "from matplotlib.pyplot import *\n",
- "\n",
- "# Variables\n",
- "TK = [283,293,303,313]\n",
- "PaS = []\n",
- "Ys = []\n",
- "\n",
- "# Calculations - part A\n",
- "for i in range(len(TK)):\n",
- " Ps = 13.8858 - (2788.51 / (TK[i] - 52.36))\n",
- " PaS.append(round(math.e**Ps,2))\n",
- " Ys.append(PaS[i]/(101.3 - PaS[i]) * 78.048/29)\n",
- " \n",
- "# Results\n",
- "plot(TK,Ys)\n",
- "plot(TK,Ys,\"go\")\n",
- "xlabel(\"Temperature, K\")\n",
- "ylabel(\"Y', kg benzene/ kg dry air\")\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Populating the interactive namespace from numpy and matplotlib\n"
- ]
- },
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 1,
- "text": [
- "<matplotlib.text.Text at 0x3797790>"
- ]
- },
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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33/LMM8/w4IMPOj+kOqTFyTIy4E9/gi++MFsNt96qloK4P6cu9mO32/nvf//L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\njx49CrjH8S8t/4XtXOX42+1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- "text": [
- "<matplotlib.figure.Figure at 0x2c0e610>"
- ]
- }
- ],
- "prompt_number": 1
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.17 pageno : 228"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "# variables \n",
- "Tin = 380.7 #K\n",
- "Pin = 101.3 #kPa\n",
- "Tdew = 298. #K\n",
- "mremoved = 2.25 #kg\n",
- "V = 100. #m**3\n",
- "#using humidity chart, humidity of air at dry bulb temperature of 380.7K and dew point = 298K is,\n",
- "Y = 0.02 # kg water /kg dry air\n",
- "print \"(a)Humidity of air entering the drier = \",Y,\"kg water /kg dry air\"\n",
- "Tstp = 273.15 #K\n",
- "Vstp = 22.4143 #m**3/kmol\n",
- "\n",
- "# Calculation \n",
- "N = V * Tstp / ( Vstp * Tin ) \n",
- "MY = Y * 29 / 18. #molal humidity\n",
- "Ndryair = N / ( 1 + MY ) \n",
- "mdryair = Ndryair *29 \n",
- "mwaterin = mdryair * Y \n",
- "mwaterout = mwaterin + mremoved \n",
- "Yout = mwaterout / mdryair \n",
- "# percent humidity is calculated using the chart, and is\n",
- "PY = 55. #%\n",
- "\n",
- "# Result\n",
- "print \"(b)exit air humidity = %.3f\"%Yout,\"kg water /kg dry air\"\n",
- "print \"Percent humidity = \",PY,\"%\"\n",
- "#from the humidity chart \n",
- "Twet = 313.2 #K\n",
- "Td = 322.2 #K\n",
- "print \"(c)exit air wet bulb temperature = \",Twet,\"K\"\n",
- "print \"(c)exit air dry bulb temperature = \",Td,\"K\"\n",
- "MYout = Yout * 29 / 18 \n",
- "Nout = Ndryair * ( 1 + MYout ) / 1 \n",
- "V1 = Nout * Vstp * Td / Tstp \n",
- "print \"(d)Volume of exit air = %.2f\"%V1,\"m**3\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "(a)Humidity of air entering the drier = 0.02 kg water /kg dry air\n",
- "(b)exit air humidity = 0.045 kg water /kg dry air\n",
- "Percent humidity = 55.0 %\n",
- "(c)exit air wet bulb temperature = 313.2 K\n",
- "(c)exit air dry bulb temperature = 322.2 K\n",
- "(d)Volume of exit air = 87.94 m**3\n"
- ]
- }
- ],
- "prompt_number": 25
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.18 pageno : 231"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "# variables \n",
- "P = 101.3 #kPa\n",
- "Td = 303. #K\n",
- "Tw = 288. #K\n",
- "#using psychometric chart,\n",
- "Y1 = 0.0045 #kg water/ kg dry air\n",
- "PY = 18. #%\n",
- "Theated = 356.7 #K\n",
- "Cb = 1.005 \n",
- "Ca = 1.884 \n",
- "\n",
- "# Calculation \n",
- "Cs = Cb + Y1 * Ca \n",
- "Q = 1 * Cs * (Theated - Td) \n",
- "\n",
- "# Result\n",
- "print \"(a)Humidity of the initial air = %.4f\"%Y1,\"kg water/ kg dry air\"\n",
- "print \"(b)Percent humidity = \",PY,\"%\"\n",
- "print \"(c)Temperature to which the air is heated = \",Theated,\"K\"\n",
- "print \"(d)Heat to be suppplied = %.2f\"%Q,\"kJ\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "(a)Humidity of the initial air = 0.0045 kg water/ kg dry air\n",
- "(b)Percent humidity = 18.0 %\n",
- "(c)Temperature to which the air is heated = 356.7 K\n",
- "(d)Heat to be suppplied = 54.42 kJ\n"
- ]
- }
- ],
- "prompt_number": 27
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.19 pageno : 232"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "# variables \n",
- "Tw = 313. #K\n",
- "Td = 333. #K\n",
- "#Using th psychometric chart,\n",
- "Y = 0.04 #kg water/ kg dry air\n",
- "PS = 26.5 #%\n",
- "VS = 1.18 #m**3/kg dry air ( volume of saturated air )\n",
- "VD = 0.94 #m**3/kg dry air ( volume of dry air )\n",
- "\n",
- "# Calculation \n",
- "VH = VD + PS * (VS - VD )/100 \n",
- "HS = 470. #J / kg dry air ( enthalpy of saturated air )\n",
- "HD = 60. #J / kg dry air ( enthalpy of dry air )\n",
- "H = HD + PS * ( HS - HD )/100 \n",
- "Cs = 1.005 + (Y * 1.884)\n",
- "H = Cs*(333 - 273.15) + Y*2502.3\n",
- "# Result\n",
- "print \"(a)Absolute Humidity of the air = \",Y,\"kg water/ kg dry air\"\n",
- "print \"(b)Percent humidity = \",PS,\"%\"\n",
- "print \"(c)Humid volume = \",VH,\"m**3/kg dry air\"\n",
- "print \"(d)Enthalpy of wet air = \",H,\"kJ/kg dry air\"\n",
- "print \"Enthalpy of humid air : %.2f kJ/kg dry air\"%H"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "(a)Absolute Humidity of the air = 0.04 kg water/ kg dry air\n",
- "(b)Percent humidity = 26.5 %\n",
- "(c)Humid volume = 1.0036 m**3/kg dry air\n",
- "(d)Enthalpy of wet air = 164.751546 kJ/kg dry air\n",
- "Enthalpy of humid air : 164.75 kJ/kg dry air\n"
- ]
- }
- ],
- "prompt_number": 3
- }
- ],
- "metadata": {}
- }
- ]
-} \ No newline at end of file