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  4. The volume thermal expansion coefficient of an ideal gas at constant pressure is

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Q. The volume thermal expansion coefficient of an ideal gas at constant pressure is

JIPMERJIPMER 2016Kinetic Theory

Solution:

For $n$ moles of ideal gas $PV = nRT$
For constant pressure $PdV = nRdT$
$d V = \left( \frac{nR}{P} \right) dT = \left( \frac{V}{T} \right) dT$ ...(i)
If $\gamma$ be the coefficient of volume expansion $dV = \gamma \, V \,dT$ ...(ii)
From (i) and (ii) $\gamma = T^{-1}$