If the heat capacity of an ideal gas is given by Also develop expressions for this fluid

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If the heat capacity of an ideal gas is given by 

C= (a R) +bT+cT+dT + e/T show that T T S(T2, V)-S(T, V) = (a - R) In + b(T - T1) d +(T-T)+(13-73) - (25-7) +

Also develop expressions for this fluid that replace Eqs. 4.4-3 and 4.4-4.

S(T2, P) - S(T, P) = Cv In and pressure and volume: (7) = = (Cv + R) In S(T2, P2) -S(T, P) = Cp ln S(P2, V)

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