A closed container contains a homogeneous mixture of two moles of an ideal monatomic gas () and one mole of an ideal diatomic gas (). Here, 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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Answer: 121
[JEE Advanced 2023 · Paper 1]