Question bank/JEE Advanced/Physics

A closed container contains a homogeneous mixture of two moles of an ideal monatomic 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. What is the change in its internal energy in Joule.

Source: JEEBench (IIT Delhi) / JEE Adv 2023 Paper 1