A gas is kept in a container having walls which are thermally… | JEE Main 2025 (3 Apr, Shift 1)

Q87JEE Main 2025 · 3 APR · SHIFT 1Medium

Thermodynamic Processes

A gas is kept in a container having walls which are thermally non-conducting. Initially the gas has a volume of $800\text{ cm}^{3}$ and temperature $27^\circ\text{C}$ . The change in temperature when the gas is adiabatically compressed to $200\text{ cm}^{3}$ is:

(Take $\gamma = 1.5; \gamma$ is the ratio of specific heats at constant pressure and at constant volume)

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Answer: (a)

Adiabatic: $TV^{\gamma-1} =$ constant, so $T_2 = T_1\left(\frac{V_1}{V_2}\right)^{\gamma-1}$ .
$T_2 = 300 \times (4)^{0.5} = 600\text{ K}$
$\Delta T = 600 - 300 = 300\text{ K}$
So the answer is (a) 300 K.

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