MHT CET 2024 Physics question

PhysicsThermodynamicsMHT CET 2024

There are two samples A and B of a certain gas, which are initially at the same temperature and pressure. Both are compressed from volume to . Sample A is compressed isothermally while sample B is compressed adiabatically. The final pressure of A is

Answer: (D)

Solution

Let the initial pressure be and volume . Isothermal compression (Boyle's law): , so . Adiabatic compression: , so . Since for any gas, , so , i.e. the final pressure of A is less than that

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Question ID VK-093024