A gas for which γ = 1.5 is suddenly compressed to the 1 4 th of the initial volume. Then the ratio of the final to the initial pressure is

Question

A gas for which γ = 1.5 is suddenly compressed to the 1 4 th of the initial volume. Then the ratio of the final to the initial pressure is, 1 : 6, 1 : 8, 1 : 4, 8 : 1

MARKS App · Accepted Answer

Here, γ = 1.5 , V 2 = 1 4 V 1 ; p 2 p 1 = ? As compression is sudden/adiabatic, ∴ p 2 V 2 γ = p 1 V 1 γ p 2 p 1 = V 1 V 2 γ = 4 1.5 = 8

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