Hi guys I am slightly confuse about a statement in the kinetic explanation for evaporation as well as melting. Firstly for the evaporation: "Thus the latent heat supplied in causing evaporation represents the potential energy gain of the escaping molecules plus the work needed to expand against the atmosphere" I understand that the mean KE drops after some of the molecules go into the air and latent heat is supplied to maintain the mean KE. But how does this extra heat represent the gain in PE of the escaping molecules? My thought is that since the molecules have escaped, how does it gain PE? Similary, how does the latent heat for melting being regarded as increasing the PE of component of the molecular internal energy? I would have thought that the extra heat would continue to raise the KE to increase the molecules' vibrations for melting. Thanks for any explanation.