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+//Chemical Engineering Thermodynamics

+//Chapter 5

+//Thermodynamic Potentials and Maxwell's Relation

+

+//Example 5.1

+clear;

+clc;

+

+//Given

+T = 293;//Constant temperature in K

+w_NH3 = 20/100;//weight of NH3 in an aqueous solution in Kg

+w_H2O = 80/100;//weight of H2O in an aqueous solution in Kg

+V_f = 40;//feed rate in Kg/min

+M_NH3 = 17;//Molecular weight of NH3

+M_H2O = 18;//Molecular weight of H20

+R = 1.98;//gas constant in Kcl/Kg mole K

+V_s = 62;//Rate of heating steam in Kg/min

+P1_H2O = 11.6;//Vapour pressure of water in feed in  mm Hg

+P2_H2O = 17.5;//Vapour pressure of pure water in mm Hg

+P1_NH3 = 227;//Vapour pressure of NH3 in feed in mm Hg

+P2_NH3 = 6350;//Vapor pressure of  pure NH3 in mm Hg

+//From steam tables:

+Hs = 666.4;//Enthalpy of steam at 160 deg celsius & 2Kgf/cm^2 in Kcal /Kg 

+Ss = 1.75;//Entropy of steam at 160 deg celsius & 2Kgf/cm^2V in Kcal/Kg K

+Hl = 20.03;//Enthalpy of liquid water at 20 deg celsius in Kcal/Kg

+Sl = 0.0612;//Entropy of liquid water at 20 deg celsius in Kcal/Kg K

+

+//To Calculate the efficiency of the separation process 

+//Material Balance:

+n_NH3 = (V*w_NH3)/M_NH3;//Kg moles of NH3 in feed(tops)

+n_H2O = (V*w_H2O)/M_H2O;//Kg moles of H20 in feed(bottoms)

+//del_F = del_F_NH3 +del_F_H2O;

+del_F = (R*T*n_NH3*log(P2_NH3/P1_NH3))+(R*T*n_H2O*log(P2_H2O/P1_H2O));//Theoretical minimum work done in Kcal

+//The available energy of the steam can be calculated from equation 4.14(page no 110)

+del_B = -V_s*((Hl-Hs)-T*(Sl-Ss));//Available energy of the steam in Kcal

+E = (del_F/del_B)*100;

+mprintf('The efficiency of the separation process is %f percent',E);

+//end

+