Two cylinders A and B fitted with pistons con | vedclass

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(D) For an ideal diatomic gas,the molar heat capacity at constant pressure is $C_p = \frac{7}{2}R$ and at constant volume is $C_v = \frac{5}{2}R$.In c

Vedclass · Accepted Answer

$42$

Vedclass · Answer

(D) For an ideal diatomic gas,the molar heat capacity at constant pressure is $C_p = \frac{7}{2}R$ and at constant volume is $C_v = \frac{5}{2}R$.In cylinder $A$,the piston is free to move,so the process is isobaric (constant pressure). The heat given is $Q = n C_p \Delta T_A$.Given $Q = n (\frac{7}{2}R) (30)$.In cylinder $B$,the piston is fixed,so the process is isochoric (constant volume). The heat given is $Q = n C_v \Delta T_B$.Given $Q = n (\frac{5}{2}R) (\Delta T_B)$.Since the heat given is the same,$n (\frac{7}{2}R) (30) = n (\frac{5}{2}R) (\Delta T_B)$.$\frac{7}{2} 	imes 30 = \frac{5}{2} 	imes \Delta T_B$.$7 	imes 30 = 5 	imes \Delta T_B$.$\Delta T_B = \frac{210}{5} = 42 \ K$.

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