JEE Main 2013 Physics question

PhysicsKinetic Theory of GasesJEE Main 2013

This question has Statement-1 and Statement-2. Of the four choices given after the Statements, choose the one that best describes the two Statements. Statement 1: The internal energy of a perfect gas is entirely kinetic and depends only on absolute temperature of the gas and not on its pressure or volume. Statement 2: A perfect gas is heated keeping pressure constant and later at constant volume. For the same amount of heat the temperature of the gas at constant pressure is lower than that at constant volume.

Answer: (3)

Solution

A perfect gas has no intermolecular forces, so its internal energy is purely kinetic and a function of T alone — Statement 1 is true. For the same heat Q, and ; since (part of the heat at constant pressure is spent as work),

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Question ID VK-104086