When heat Q is supplied to a diatomic gas of rigid molecules, at constant volume its temperature increases by Δ T. the heat required to produce the same change in temperature, at a constant pressure is: (a) 7/5Q (b) 3/2Q (c) 2/3Q (d) 5/3Q

Answer: (a). Q = nCvΔ T and Q' = nCpΔ T, so Q' = γ Q. Rigid diatomic: γ = 7/5, so Q' = 7/5Q. So the answer is (a) 7/5Q.

When heat Q is supplied to a diatomic gas of rigid molecules, at… | JEE Main 2019 (10 Apr, Shift 2)

Q215JEE Main 2019 · 10 APR · SHIFT 2Medium

Thermodynamic Processes

When heat Q is supplied to a diatomic gas of rigid molecules, at constant volume its temperature increases by $\Delta$ T. the heat required to produce the same change in temperature, at a constant pressure is:

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Answer: (a)

$Q = nC_v\Delta T$ and $Q' = nC_p\Delta T$ , so $Q' = \gamma Q$ .
Rigid diatomic: $\gamma = \frac{7}{5}$ , so $Q' = \frac{7}{5}Q$ .
So the answer is (a) $\frac{7}{5}Q$ .

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