Two cylinders A and B fitted with piston contain equal amount of an… | MHT CET 2025 (26 Apr, Shift 2)

Q69MHT CET 2025 · 26 APR · SHIFT 2Medium

Thermodynamic Processes

Two cylinders A and B fitted with piston contain equal amount of an ideal diatomic gas at temperature T K. The piston of cylinder A is free to move while that of cylinder $B$ is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise of temperature of the gas in A is $dT_A$ , then the rise in temperature of the gas in B is $\left(\gamma = \frac{C_p}{C_v}\right)$

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Answer: (c)

A is at constant pressure, B at constant volume; same heat: $nC_p\,dT_A = nC_v\,dT_B$ .
$dT_B = \dfrac{C_p}{C_v}dT_A = \gamma\,dT_A$
So the answer is (c) $\gamma\,dT_A$ .

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