Continued heating of the water after the ice has completely melted will now increase the kinetic energy of the liquid molecules and the temperature will rise. Assuming that the atmospheric pressure is standard, the temperature will rise steadily until it reaches 100°C. At this point, the added energy from the heat will cause the liquid to begin to vaporize. As with the previous state change, the temperature will remain at 100°C while the water molecules are going from the liquid to the gas or vapor state. Once all the liquid has completely boiled away, continued heating of the steam (remember the container is closed) will increase its temperature above 100°C.
Consider the following text:
Tommy sets two pots of water, Pot A and Pot B, on the stove and sets each burner to a different temperature. Tommy is unable to see what the temperatures of the burners are though. He sits around patiently and waits until he notices that Pot B's water is beginning to vaporize, while Pot A's water is not vaporizing.

The water in which pot is colder?