Topic: First law of thermodynamics· Thermodynamics

The volume (V) of a monatomic gas varies with its temperature (T), as shown in the graph. The ratio of work done by the gas, to the heat absorbed by it, when it undergoes a change from state A to state B, is

V-T graph, straight line through origin, A to B

1. $\frac{2}{5}$

2. $\frac{1}{3}$

3. $\frac{2}{3}$

4. $\frac{2}{7}$

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Answer: 1. $\frac{2}{5}$

The graph is a straight line through the origin, so $V\propto T$: the process is at constant pressure.

For a monatomic gas, $W=nR\Delta T$ and $Q=nC_p\Delta T=n\cdot\frac52R\,\Delta T$.

$$\frac{W}{Q}=\frac{nR\Delta T}{\frac52 nR\Delta T}=\frac25$$

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report

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The volume (V) of a monatomic gas varies with its temperature (T), as shown in the graph. The ratio of work done by the gas, to the heat absorbed by it, when it undergoes a change from state A to state B, is

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