Find the coefficient of volume expansion for an ideal gas at constant pressure.

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

$\large \frac{dV}{dT} = \frac{n R}{P}$

$\large \gamma = \frac{1}{V} \frac{dV}{dT} = \frac{n R}{P V}$

$\large \gamma = \frac{n R}{n R T} = \frac{1}{T}$