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According to question P ∝ T^3. But as we know for an adiabatic process the pressure P ∝ T^(γ/(γ-1)).

1. γ = 3/2
2. Cp/Cv = 3/2
3. P ∝ T^3
4. P ∝ T^(γ/(γ-1))

Correct answer: P ∝ T^(γ/(γ-1))

Solution

For an adiabatic process, the relationship between pressure and temperature is given by P ∝ T^(γ/(γ-1)), where γ = Cp/Cv. This matches option D.

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