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JEE Main 2025 (23 Jan, Shift 1) · Thermodynamic Processes

Thermodynamic Processes question from JEE Main 2025 (23 Jan, Shift 1)

Q85JEE Main 2025 · 23 JAN · SHIFT 1Medium

Thermodynamic Processes

An ideal gas initially at $0^\circ\text{C}$ temperature, is compressed suddenly to one fourth of its volume. If the ratio of specific heat at constant pressure to that at constant volume is $3/2$ , the change in temperature due to the thermodynamic process is _________ K.

Numerical answer type. Work it out, then open the answer.

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Answer: 273

Sudden compression is adiabatic: $TV^{\gamma-1} =$ const.
$T_2 = 273 \times 4^{3/2 - 1} = 273 \times 4^{1/2} = 546$ K
$\Delta T = 546 - 273 = 273$ K

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