Final answer:
The input of heat energy during the process of melting allows solid molecules to gain enough kinetic energy to transition to the liquid state, resulting in a temperature increase.
Step-by-step explanation:
One example of an input of heat that accomplishes a temperature rise in molecular terms is the process of melting. When a solid substance, such as ice, is heated, the input of heat energy causes the intermolecular forces between the molecules to weaken. As a result, the molecules gain enough kinetic energy to break free from their fixed positions and transition to the liquid state. This is observed as a temperature increase.
The input of heat energy overcomes the attractive forces between the molecules in the solid, allowing them to move more freely. The increased kinetic energy leads to a higher temperature. Once all the solid has melted, further heating will cause the temperature to rise continuously as the liquid absorbs more heat energy.