In an adiabatic process, the state of a gas is changed from…

Physics Thermodynamics Adiabatic Process Single Correct MCQ

Published on: September 12, 2026

In an adiabatic process, the state of a gas is changed from $P_1, V_1, T_1,$ to $P_2, V_2, T_2$ . Which of the following relation is correct

$T_1 V_1^{\gamma - 1} = T_2 V_2^{\gamma - 1}$

$P_1 V_1^{\gamma - 1} = P_2 V_2^{\gamma - 1}$

$T_1 P_1^\gamma = T_2 P_2^\gamma$

$T_1 V_1^\gamma = T_2 V_2^\gamma$

Text Solution

Verified by Experts

The correct answer is:

Adiabatic relation between T and v is

$\mathrm{TV}_1^{\gamma - 1} = \text{constant}$

$\therefore \mathrm{T}_1 \mathrm{V}_1^{\gamma - 1} = \mathrm{T}_2 \mathrm{V}_2^{\gamma - 1}$

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