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What is the adiabatic gas relation for an ideal gas undergoing a reversible quasi-static process?

デッキ「JEE Main Master Class: Calculus, Mechanics, Coordinate Geometry」の単語カード。

解答

$P V^\gamma = \text{constant}$, $T V^{\gamma - 1} = \text{constant}$, and $P^{1-\gamma} T^\gamma = \text{constant}$, where $\gamma = \frac{C_p}{C_v}$.

解説

For a monoatomic ideal gas, $\gamma = \frac{5}{3} \approx 1.67$; for a diatomic gas, $\gamma = \frac{7}{5} = 1.40$.

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