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Question

An ideal gas with pressure P, volume V and temperature T is expanded isothermally to a volume 2V and a final pressure PI. The same gas is expanded adiabatically to a volume 2V, the final pressure is PA. In terms of the ratio of the two specific heats for the gas γ, the ratio PI/PA is:

Options

A.2γ-1
B.21-γ
C.2γ
D.2γ

Solution

As gas expands isothermelly
so P1 =
In adiabatic process PVγ = constant
so PVγ = PA(2V)γ
⇒ = 2γ-1

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