Heat is supplied to a diatomic gas at constant pressure. Then the ratio of Δ Q: Δ U: Δ W is ______. (a) 2: 3: 5 (b) 5: 3: 2 (c) 2: 5: 7 (d) 7: 5: 2

Answer: (d). At constant pressure: Δ Q = nCpΔ T, Δ U = nCvΔ T, Δ W = nRΔ T. Diatomic: Cp = 7/2R, Cv = 5/2R. Δ Q: Δ U: Δ W = 7/2: 5/2: 1 = 7: 5: 2 So the answer is (d) 7: 5: 2.

Heat is supplied to a diatomic gas at constant pressure. Then the… | JEE Main 2026 (2 Apr, Shift 1)

Q6JEE Main 2026 · 2 APR · SHIFT 1Easy

Thermodynamic Processes

Heat is supplied to a diatomic gas at constant pressure. Then the ratio of $\Delta Q : \Delta U : \Delta W$ is ______.

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Answer: (d)

At constant pressure: $\Delta Q = nC_p\Delta T$ , $\Delta U = nC_v\Delta T$ , $\Delta W = nR\Delta T$ .
Diatomic: $C_p = \frac{7}{2}R$ , $C_v = \frac{5}{2}R$ .
$\Delta Q : \Delta U : \Delta W = \frac{7}{2} : \frac{5}{2} : 1 = 7 : 5 : 2$
So the answer is (d) 7 : 5 : 2.

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