A diatomic gas, having Cp = (7/2)R and Cv = (5/2)R, is heated at constant pressure. The ratio dU : dQ :

a. 3 : 7 : 2

b. 5 : 7 : 2

c. 5 : 7 : 3

d. 3 : 5 : 2

Answer: (b)

Since the gas is diatomic in nature and the process is isobaric, we have

Cp = (7/2)R

Cv = (5/2)R

dU = nCvdT

dQ = nCpdT

dW = nRdT

dU : dQ : dW

Cv : Cp : R

(5/2) R : (7/2) R : R

5 : 7 : 2

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