JEE Main 2022 · 24 Jun · Shift 2 · Physics Q59

← JEE Main 2022 · 24 Jun · Shift 2

PhysicsInteger+4 / -1Question 59 of 90

A monoatomic gas performs a work of $\dfrac Q4$ where Q is the heat supplied to it. The molar heat capacity of the gas will be ______ R during this transformation.

Where R is the gas constant.

Your answer

Answer and worked solution

Official answer: 2

First law. $W=\frac Q4$ , so $\Delta U=\frac34Q$ .

Monatomic gas. $\Delta U=\frac32nR\,\Delta T=\frac34Q$ , so $Q=2nR\,\Delta T$ .

Molar heat capacity. $C=\dfrac Q{n\Delta T}=2R$ .

Answer: 2

Topics:First law and internal energy Specific heats of gases

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JEE Main 2022 · 24 Jun · Shift 2, Physics question 59