PYQ Adv 2023 P1 Q11

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A closed container contains a homogeneous mixture of two moles of an ideal monatomic gas (𝛾 = 5/3) and one mole of an ideal diatomic gas (𝛾 = 7/5). Here, 𝛾 is the ratio of the specific heats at constant pressure and constant volume of an ideal gas. The gas mixture does a work of 66 Joule when heated at constant pressure. The change in its internal energy is ________ Joule.

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