The temperature of a substance that is melting stays the same. As a solid substance is heated, the added heat increases the kinetic energy of the particles causing them to move faster.
The increase in kinetic energy can be observed as an increase in temperature. Eventually, the particles in the solid absorb enough energy to overcome the forces of attraction holding them together in a solid state.
Particles then begin to escape into a liquid state. As particles escape into a liquid state, energy is used to break the forces between the particles rather than add to their kinetic energy. So, as heat energy is absorbed by particles in the solid state, heat energy is also removed as particles move into the liquid state. Since there is no net energy increase during the melting process, the temperature stays the same.
Once all of the particles have melted into the liquid state, heat energy is absorbed by the liquid state particles. This once again causes an increase in the kinetic energy of the particles and the temperature increases.
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