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…
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 relations is correct?
- \(T_1 V_1^{\gamma-1}=T_2 V_2^{\gamma-1}\)
- \(P_1 V_1^{\gamma-1}=P_2 V_2^{\gamma-1}\)
- \(T_1 P_1^\gamma=T_2 P_2^\gamma\)
- \(T_1 V_1^\gamma=T_2 V_2^\gamma\)
Solution
Adiabatic relation between \(T\) and \(V\) is
\(\begin{aligned}
& T V_1^{\gamma-1}=\text { constant } \\
& \therefore \quad T_1 V_1^{\gamma-1}=T_2 V_2^{\gamma-1}
\end{aligned}\)
Asked in: MHT CET 2022 (11 Aug Shift 1)
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