Is there a correlation between temperature change with the changes on the molecular level? And what is it?

(talking about changes in phases with melting and heating. and the temp corresponds to the time it takes for each phase to melt, vaporize, etc.)

(on a phase change diagram with heating and cooling curves)

2 answers

Hot molecules move around more.
The general rule is that melting point and boiling point increase as molar mass increases.