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Heat energy of 735 J is given to a diatomic gas allowing the gas to expand at constant pressure. Each gas molecule rotates around an internal axis but do not oscillate. The increase in the internal energy of the gas will be:

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735J

572 J

525J

441J

answer is D.

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Detailed Solution

$\begin{array}{l} Q = n C_{P} ΔT (∵ p = const) \\ 735 = n (C_{P}) ΔT \\ 735 = γ (n C_{V} ΔT) \\ 735 = γ (ΔU) \Rightarrow ΔU = \frac{735}{γ} \end{array}$
For diatomic $γ = \frac{7}{5}$
$ΔU = \frac{735 \times 5}{7} = 525 J$

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