How much heat is absorbed?

Question

To treat a burn on his hand, a person decides to place an ice cube on the burned skin. The mass of the ice cube is 19.5 g and its initial temperature is -11.6 C. The water resulting from the melted ice reaches the temperature of his skin, 28.8 C. How much heat is absorbed by the ice cube and resulting water? Assume that all of the water remains in the hand. 

Answer 1

Heat = M x C x (Tf - Ti)

The amount of heat transferred into the hand is the amount of heat needed to raise the ice from its initial temp to zero. Then the amount of heat needed to melt the ice at zero into water at zero. Then the heat needed to raise the water from zero to the final temperature of 28.8 C.

q(total) = q warming ice + q melting + q warming water = MCiceΔT + MH + MCwaterΔT

Cice = specific heat capacity of ice

Cwater = specific heat capacity of water

H = enthalpy of fusion of ice