A closed container contains a homogeneous mixture of two moles of an ideal monoatomic gas \((\gamma=5 / 3)\) and one mole of an ideal diatomic gas \((\gamma=7 / 5)\). Here, \(\gamma\) 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 ________ Joules.

[JEE Advanced 2023]

Question

A closed container contains a homogeneous mixture of two moles of an ideal monoatomic gas \((\gamma=5 / 3)\) and one mole of an ideal diatomic gas \((\gamma=7 / 5)\). Here, \(\gamma\) 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 ________ Joules.

[JEE Advanced 2023]

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