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  4. Which of the following curves represent the variation of coefficient of volume expansion of an ideal gas at constant pressure?

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Q. Which of the following curves represent the variation of coefficient of volume expansion of an ideal gas at constant pressure?

KCETKCET 2021Thermal Properties of Matter

Solution:

We know PV $= nRT$ or $\frac{1}{ T }=\frac{ nR }{ PV }$
Since, $P$ is constant, $P \Delta V = nR \Delta T$
(or) $\frac{\Delta V }{\Delta T }=\frac{ nR }{ P }$
Coefficient of volume expansion $\alpha_{v}=\frac{\Delta V}{V \Delta T}$
$\alpha_{v}=\frac{ nR }{ PV }=\frac{1}{ T }$