The correct relation between γ = (cp)/(cv) and temperature T is: (a) γ ∝ T (b) γ ∝ 1/√(T) (c) γ ∝ 1/T (d) γ ∝ T⁰

Answer: (d). For an ideal gas γ = 1 + 2/f depends only on the degrees of freedom f. It does not change with temperature, so γ ∝ T⁰. So the answer is (d) γ ∝ T⁰.

The correct relation between γ = (cp)/(cv) and temperature T is: | JEE Main 2023 (31 Jan, Shift 1)

Q46JEE Main 2023 · 31 JAN · SHIFT 1Medium

Gas Laws & Ideal Gas Equation

The correct relation between $\gamma = \frac{c_p}{c_v}$ and temperature T is:

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Answer: (d)

For an ideal gas $\gamma = 1 + \frac{2}{f}$ depends only on the degrees of freedom $f$ .
It does not change with temperature, so $\gamma \propto T^0$ .
So the answer is (d) $\gamma \propto T^{0}$ .

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