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Kinetic energy is the energy of motion. Heat is a form of kinetic energy (the movement of individual atoms or molecules) so the liquid phase contains more kinetic energy than the solid and the gas phase has more kinetic energy than the liquid phase.

However, kinetic energy can also be imparted to a mass as a whole in which case if the total mass of the phases was constant the this imparted kinetic energy would be the same for all phases.

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