A cylinder contains 5.12 mol of an ideal gas at pressure 5.60 × 10⁵ Pa and volume 3.80 × 10⁻² m³ (temperature found from pV = nRT).

The average kinetic energy E_K of a molecule of the gas is given by the expression E_K = (3/2)kT, where k is the Boltzmann constant and T is the thermodynamic temperature.

The gas is heated at constant pressure so that its temperature rises by 125 K.

Show that the new volume of the gas is 4.75 × 10⁻² m³.