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MHT CET 2026 (14 May, Shift 1) · Thermodynamic Processes

Thermodynamic Processes question from MHT CET 2026 (14 May, Shift 1)

Q28MHT CET 2026 · 14 MAY · SHIFT 1Medium

Thermodynamic Processes

The temperature of an ideal gas increases 22 times when compressed adiabatically to half the volume. Its equation of state is

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Answer: (d)

  1. Adiabatic: TVγ−1=TV^{\gamma - 1} = constant, so T2T1=(V1V2)γ−1\frac{T_2}{T_1} = \left(\frac{V_1}{V_2}\right)^{\gamma - 1}.
  2. 2=2γ−1⇒γ−1=1⇒γ=22 = 2^{\gamma - 1} \Rightarrow \gamma - 1 = 1 \Rightarrow \gamma = 2
  3. So the answer is (d) PV2=PV^2 = constant.
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