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MHT CET 2025 (20 Apr, Shift 1) · Thermodynamic Processes

Thermodynamic Processes question from MHT CET 2025 (20 Apr, Shift 1)

Q83MHT CET 2025 · 20 APR · SHIFT 1Medium

Thermodynamic Processes

A diatomic gas $\left(\gamma = \frac{7}{5}\right)$ is compressed adiabatically to volume $\frac{V_0}{32}$ , where $V_0$ is its initial volume. The initial temperature of the gas is $T_i$ in kelvin and the final temperature is $xT_i$ in kelvin. The value of $x$ is

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Answer: (b)

Adiabatic: $T_2 = T_i\left(\frac{V_1}{V_2}\right)^{\gamma-1}$ with $\gamma - 1 = \frac{2}{5}$ .
$T_2 = T_i \cdot 32^{2/5} = T_i \cdot 2^2 = 4T_i$
So the answer is (b) $x = 4$ .

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