MHT CET 2024 Physics question

PhysicsThermodynamicsMHT CET 2024

One mole of an ideal gas at initial temperature of 'T' K does '6R' of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is , the final temperature of gas will be (R = 8.31 J moleK)

Answer: (D)

Solution

For an adiabatic process, , so the work done by the gas equals the decrease in internal energy: . For , . With and : , so

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Question ID VK-092734