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+//Chemical Engineering Thermodynamics

+//Chapter 7

+//Ideal Gases

+

+//Example 7.3

+clear;

+clc;

+

+//Given

+P1 = 15;//initial pressure in Kgf/cm^2

+P2 = 1;//final pressure in Kgf/cm^2

+V1 = 0.012;//initial volume in m^3

+V2 = 0.06;//final volume in m^3

+T1 = 420;//initial temperature in K

+M = 28;//molecular weight of the gas

+Cp = 0.25;//specific heat at constant pressure in Kcal/Kg K

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

+R2 = 848;//gas constant in mKgf/Kgmole K

+//Cv = a+0.0005*T1; Specific heat at constant volume

+

+//To Calculate the final temperature of the ideal gas, work done in an open and closed system,internal energy change for the process

+//(a)Calculation of final temperature

+//Using ideal gas law:(P*V)/(R*T)

+T2 = (P2*V2*T1)/(P1*V1);

+mprintf('(a)The final temperature is %d K',T2);

+

+//(b)Calculation of work in an open and closed system

+//From equation 7.22(page no 147): P1*(V1^n)=P2*(V2^n)

+n = (log(P2/P1))/(log(V1/V2));

+//From equation 7.25(page no 149)

+W = ((P1*V1)-(P2*V2))/(n-1)*10^4;//work in mKgf

+W1 = W/427;//Work in Kcal

+mprintf('\n (b)The work in a closed system is %f Kcal',W1);

+Ws = n*W1;//from equation 7.28(page no 149)

+mprintf('\n    The work in an open system is %f Kcal',Ws);

+

+//(c)Calculation of internal energy change

+R1 = R/M;//gas constant in Kcal/Kg

+Cv = Cp-R1;//specific heat at constant volume in Kcal/Kg K

+a = Cv-(0.0005*T1);

+m = (P1*10^4*V1*M)/(R2*T1);//mass of gas in Kg

+function y = f(T)

+    y = m*(a+(0.0005*T));

+endfunction

+del_E = intg(T1,T2,f);//internal energy change in Kcal/Kg

+del_E1 = M*del_E;//internal energy change in Kcal/Kgmole

+mprintf('\n (c)The internal energy change for the process is %f Kcal/Kgmole',del_E1);
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