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MHT CET 2025 (19 Apr, Shift 1) · Thermodynamic Processes

Thermodynamic Processes question from MHT CET 2025 (19 Apr, Shift 1)

Q88MHT CET 2025 · 19 APR · SHIFT 1Difficult

Thermodynamic Processes

Three samples $X, Y$ , and $Z$ of same gas have equal volumes and temperatures. The volume of each sample is doubled, the process being isothermal for X, adiabatic for Y and isobaric for Z. If the final pressures are equal for the three samples, the ratio of the initial pressures is ( $\gamma = 3/2$ )

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Answer: (b)

Let the common final pressure be $P_f$ and the volume double in each case.
X (isothermal): $P_X = 2P_f$
Y (adiabatic): $P_Y = 2^{\gamma}P_f = 2^{3/2}P_f = 2\sqrt{2}P_f$
Z (isobaric): $P_Z = P_f$
Ratio $= 2 : 2\sqrt{2} : 1$ , so the answer is (b).

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