A monoatomic gas having γ=5/3 is stored in a thermally insulated container and is suddenly compressed to 1/8 of its initial volume. The ratio of the final pressure to the initial pressure is (γ is the ratio of the specific heats of the gas at constant pressure and at constant volume)

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(4) 32. Insulated and sudden, so adiabatic: PV^γ= constant. (P₂)/(P₁)=((V₁)/(V₂))^γ=8^5/3. 8^5/3=(2³)^5/3=2⁵=32.

A monoatomic gas having γ=5/3 is stored in a thermally insulated container and is suddenly compressed to 1/8 of its initial volume. The ratio of the final pressure to the initial pressure is (γ is the ratio of the specific heats of the gas at constant pressure and at constant volume)

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