Two cylinders A and B fitted with pistons contain equal amount of an… | MHT CET 2026 (17 Apr, Shift 2)

Q21MHT CET 2026 · 17 APR · SHIFT 2Medium

Thermodynamic Processes

Two cylinders A and B fitted with pistons contain equal amount of an ideal 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 of heat is given to the gas in each cylinder. If the rise in temperature of the gas in cylinder B is 63 K then the rise in temperature of the gas in A is

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Answer: (c)

Same heat: $nC_p\Delta T_A = nC_v\Delta T_B$ (A at constant pressure, B at constant volume).
$\Delta T_A = \dfrac{\Delta T_B}{\gamma} = \dfrac{63}{1.4}$
$\Delta T_A = 45\text{ K}$ , so the answer is (c).

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