During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio C_p / C_v for the ga - Physics MCQ AIEEE 2003 2026 | ExamTest.live

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During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio C_{p} / C_{v} for the gas is:

Solution & Step-by-step Explanation

For an adiabatic process, the relation between P and T is: P^{1 - γ} T^{γ} = constant ⟹ P \propto T^{\frac{γ}{γ - 1}} Given P \propto T^{3}, we equate the exponents: \frac{γ}{γ - 1} = 3 γ = 3 γ - 3 ⟹ 2 γ = 3 ⟹ γ = 3/2 The ratio C_{p} / C_{v} = γ = 3/2 .

Try it yourself before checking the explanation above.

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio C_{p} / C_{v} for the gas is:

4/3

2

5/3

3/2

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