Q: Find the coefficient of volume expansion for an ideal gas at constant pressure.
Sol: For an ideal gas
As P is constant, we have
P . dV = n R dT
$\large \frac{dV}{dT} = \frac{n R}{P}$
$\large \gamma = \frac{1}{V} \frac{dV}{dT} = \frac{n R}{P V}$
$\large \gamma = \frac{n R}{n R T} = \frac{1}{T}$