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During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of Cp/Cv for the gas is:

1. 2
2. 5/3
3. 3/2
4. 4/3

Correct answer: 2

Solution

In an adiabatic process, the relation between pressure and temperature is given by P ∝ T^(γ/(γ-1)), where γ = Cp/Cv. Here, P ∝ T^3 implies γ/(γ-1) = 3. Solving this gives γ = 2.

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