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STANDARD Physics Heat and Work MCQ Question

Type: MCQ-conceptual-Hard-Class 11

One mole of an ideal monatomic gas at temperature T0T_0 expands slowly according to the law PV=\frac{P}{V} = constant. If the final temperature is 2T02T_0, heat supplied to the gas is

A

2RT₀

B

RT₀

C

32RT0\frac{3}{2} RT₀

D

12RT0\frac{1}{2} RT₀

Correct Answer

Option A

Detailed Explanation

In the process PVx=PV^x = constant, the molar heat capacity is given by C=Ry−1+R1−xC = \frac{R}{y-1} + \frac{R}{1-x}. For an ideal monatomic gas, y=53y = \frac{5}{3} and x=−1x = -1. Thus, Q=nC(ΔT)=2RT0Q = nC(\Delta T) = 2RT₀.

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