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diff --git a/Fundamentals_Of_Thermodynamics/Chapter13.ipynb b/Fundamentals_Of_Thermodynamics/Chapter13.ipynb
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-{

- "metadata": {

-  "name": "",

-  "signature": "sha256:6cc89f09586fc1fc226ee69c300e69ecaeae3fbafe1ae419c1c6cbc4ae7dcf83"

- },

- "nbformat": 3,

- "nbformat_minor": 0,

- "worksheets": [

-  {

-   "cells": [

-    {

-     "cell_type": "heading",

-     "level": 1,

-     "metadata": {},

-     "source": [

-      "CHAPTER13:Gas Mixtures"

-     ]

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Ex13.3:Pg-533"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "#ques3\n",

-      "#calculating humidity ratio, dew point,mass of air, mass of vapor\n",

-      "\n",

-      "r=0.70;#relative humidity\n",

-      "Pg=5.628;#saturation pressure in kPa\n",

-      "Pv=r*Pg;#vapour pressure in kPa\n",

-      "P=100;#net pressure kPa \n",

-      "Pa=P-Pv;#Partial pressure of air\n",

-      "w=0.622*Pv/Pa;#humidity ratio formula\n",

-      "V=100;#volume in m^3\n",

-      "Ra=0.287;#gas constant for water vapour\n",

-      "T=308.2;#Temperature in K\n",

-      "ma=Pa*V/(Ra*T);#mass in kg\n",

-      "mv=w*ma;#mass of vapour\n",

-      "print\" Mass of vapour is\",round(mv,3),\"Kg \""

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        " Mass of vapour is 2.77 Kg \n"

-       ]

-      }

-     ],

-     "prompt_number": 2

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Ex13.4:Pg-534"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "#ques4 \n",

-      "#calculating amount of water vapour condensed on cooling\n",

-      "\n",

-      "#from example 3\n",

-      "w1=0.0255;#w1=w, humidity ratio at initial temperature\n",

-      "ma=108.6;#mass of air in kg\n",

-      "P=100;#kPa net pressure\n",

-      "#at 5 C mixture is saturated so Pv2=Pg2\n",

-      "Pg2=0.8721;\n",

-      "Pv2=Pg2;\n",

-      "w2=0.622*Pv2/(P-Pg2);\n",

-      "mc=ma*(w1-w2);\n",

-      "print\"Mass of vapour condense is \",round(mc,3),\"kg \""

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        "Mass of vapour condense is  2.175 kg \n"

-       ]

-      }

-     ],

-     "prompt_number": 6

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Ex13.5:Pg-536"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "#ques5\n",

-      "#calculating heat transfer per kilogram of dry air\n",

-      "\n",

-      "#1-inlet state\n",

-      "#2-Exit state\n",

-      "r1=0.80;#realtive humidity at state 1\n",

-      "Pg1=4.246;#saturation pressure of vapour in kPa\n",

-      "P1=105.0;#net pressure at state 1 in kPa\n",

-      "P2=100.0;#net pressure at state 2 in kPa\n",

-      "Pv1=r1*Pg1;#partial pressure of vapour in kPa\n",

-      "w1=0.622*Pv1/(P1-Pv1);#humidity ratio at state 1\n",

-      "r2=0.95;#relative humidity at state 2\n",

-      "Pg2=1.7051;#saturation pressure of vapour in kPa\n",

-      "Pv2=r2*Pg2;#partial pressure of vapour in kPa\n",

-      "w2=0.622*Pv2/(P2-Pv2);#humidity ratio at state 2\n",

-      "T1=30.0;#C\n",

-      "T2=15.0;#C\n",

-      "Cp=1.004;#specific heat of water vapour in kJ/kg\n",

-      "hv2=2528.9;#enthalpy of vapourisation of vapour in kJ/kg\n",

-      "hv1=2556.3;#enthalpy of vapourisation of vapour in kJ/kg\n",

-      "hl2=62.99;#enthalpy of \n",

-      "q=Cp*(T2-T1)+w2*hv2-w1*hv1+hl2*(w1-w2);#kJ/kg\n",

-      "print\" Heat transferred per unit mass =\",round(q,1),\"kJ/kg of dry air\""

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        " Heat transferred per unit mass = -41.7 kJ/kg of dry air\n"

-       ]

-      }

-     ],

-     "prompt_number": 11

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Ex13.6:Pg-537"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "#ques6\n",

-      "#calculating heat transferred in gas vapour mixture\n",

-      "\n",

-      "#n-Nitrogen\n",

-      "#v-water vapour\n",

-      "Pn2=1995;#Pressure of nitrogen in kPa\n",

-      "V=0.5;#Volume in m^3\n",

-      "Rn2=0.2968;#Gas constant for nitrogen in kJ/kg.K\n",

-      "Rv=0.4615;#gas constant for vapour\n",

-      "T1=323.2;#Temperature in K\n",

-      "T2=283.2;#Temperature in K\n",

-      "Pv1=5;#Pressure of water vapour in kPa at state 1\n",

-      "Pv2=1.2276;#Pressure of water vapour in kPa at state 2\n",

-      "mn2=Pn2*V/(Rn2*T1);#mass of nitrogen\n",

-      "mv1=Pv1*V/(Rv*T1);#mass of vapour in kg\n",

-      "mv2=Pv2*V/(Rv*T2);#mass of vapour in kg\n",

-      "ml2=mv1-mv2;#mass of liquid condensed n kg\n",

-      "uv1=2443.1;#specific internal energy of vapour in kJ/kg at state 1\n",

-      "uv2=2389.2;#specific internal energy of vapour in kJ/kg at state 2\n",

-      "ul2=42.0;#specific internal energy of liquid water in kJ/kg\n",

-      "Cv=0.745;#specific heat at constant volume in kJ/kg.K\n",

-      "Q=mn2*Cv*(T2-T1)+mv2*uv2+ml2*ul2-mv1*uv1;\n",

-      "print\"Heat transferred =\",round(Q,2),\"kJ \"\n",

-      "\n",

-      "#the answer is different in book due to intermediate approximization "

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        "Heat transferred = -339.1 kJ \n"

-       ]

-      }

-     ],

-     "prompt_number": 13

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Ex13.7:Pg-539"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "#ques7\n",

-      "#calculating humidity ratio and relative humidity \n",

-      "\n",

-      "#1-Inlet state\n",

-      "#2-Exit state\n",

-      "P=100;#net pressure n kPa \n",

-      "#it is steady state adiabatic process\n",

-      "#water vapour leaving is saturated so Pv2=Pg2\n",

-      "Pg2=2.339;#saturation pressure of vapour in kPa\n",

-      "Pv2=Pg2;#partial pressure of vapour\n",

-      "w2=0.622*Pv2/(P-Pg2);\n",

-      "Cpa=1.004;#specific heat n kJ/kg/K\n",

-      "T2=20;# final temp in C\n",

-      "T1=30;# initial temp in C\n",

-      "Hfg2=2454.1;#specific heat difference at state 2 in kJ/kg\n",

-      "hv1=2556.3;#enthalpy of water vapour at state 1 in kJ/kg\n",

-      "hl2=83.96;#enthalpy of liquid water in kJ/kg\n",

-      "w1=(Cpa*(T2-T1)+w2*Hfg2)/(hv1-hl2);\n",

-      "print \" Relative humidity =\",round(w1,4)\n",

-      "#also w1=0.622*Pv1/(100-Pv2)\n",

-      "Pv1=100*w1/(0.622+w1);\n",

-      "Pg1=4.246;#saturation pressure at state 1 in kPa\n",

-      "r=Pv1/Pg1;#humidity ratio\n",

-      "print\" Humidity ratio =\",round(r,4)"

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        " Relative humidity = 0.0107\n",

-        " Humidity ratio = 0.3993\n"

-       ]

-      }

-     ],

-     "prompt_number": 16

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [],

-     "language": "python",

-     "metadata": {},

-     "outputs": []

-    }

-   ],

-   "metadata": {}

-  }

- ]

-}
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