Two cylinders A and B fitted with pistons contain equal amount of an… | MHT CET 2025 (21 Apr, Shift 1)

Q74MHT CET 2025 · 21 APR · SHIFT 1Medium

Thermodynamic Processes

Two cylinders A and B fitted with pistons contain equal amount of an ideal rigid diatomic gas at 303 K. The piston of cylinder $A$ is free to move and that of cylinder B is held fixed. The same amount heat is given to the gas in each cylinder. If the rise in temperature of the gas in cylinder B is 49 K, then the rise in temperature of the gas in $A$ is

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Answer: (b)

Same heat: $nC_p\Delta T_A = nC_v\Delta T_B$ , so $\Delta T_A = \dfrac{\Delta T_B}{\gamma}$ .
Rigid diatomic: $\gamma = 1.4$ .
$\Delta T_A = \dfrac{49}{1.4} = 35\text{ K}$
So the answer is (b) 35 K.

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