# Heat released/absorbed

You are mixing water with ice in an insulated container. The following are given:

*the amount of heat absorbed by the ice if heated to its melting point: 400 \rm J,
*the amount of heat absorbed by the ice if it all melts (which includes the heat needed to bring the ice to its melting point): 2100 \rm J,
*the amount of heat given off by the water if cooled to its freezing point: 2400 \rm J, and
*the amount of heat given off by the water if it all freezes: 5200 \rm J.

Based on this information, at equilibrium, which phases are present?

-water only
-ice only
-ice and water

I know that the sum of heat released/absorbed in a system is equal to zero, but I'm not sure how to approach it in this problem.

I thought that the total heat absorbed when ice completely melts is 2100 (which is stated above), so the heat released by water must be equal to this. So water does not freeze and ice melts. This means that water is only present. Is this right?

Thanks.

OlderDan