Two cylinders A and B fitted with pistons con | vedclass

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(D) For an ideal monoatomic gas,the molar heat capacity at constant pressure is $C_P = \frac{5}{2}R$ and at constant volume is $C_V = \frac{3}{2}R$.Fo

Vedclass · Accepted Answer

$70$

Vedclass · Answer

(D) For an ideal monoatomic gas,the molar heat capacity at constant pressure is $C_P = \frac{5}{2}R$ and at constant volume is $C_V = \frac{3}{2}R$.For cylinder $A$ (isobaric process),the heat supplied is $Q = n C_P \Delta T_A$.Given $n$ is the same,$Q = n 	imes \frac{5}{2}R 	imes 42 = 105 nR$.For cylinder $B$ (isochoric process),the heat supplied is $Q = n C_V \Delta T_B$.Since the heat supplied is the same,$n C_P \Delta T_A = n C_V \Delta T_B$.$\frac{5}{2}R 	imes 42 = \frac{3}{2}R 	imes \Delta T_B$.$5 	imes 42 = 3 	imes \Delta T_B$.$\Delta T_B = \frac{210}{3} = 70 ~K$.

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