Chemistry HEAT OF FUSION
posted by tanner on .
What is the final temperature, in oC, after a 15.0 g piece of ice, at 0oC, is placed in a styrofoam cup with 128 g of water initially at 74.0oC.
Assume there is no transfer of heat to or from the surroundings.
The specific heat of water = 4.184 JK1g1
The heat of fusion of ice = 333 Jg1

heat added to ice to melt it + heat added to melt at zero C to final T + heat lost by hot water = 0
heat added to ice to melt it is mass ice x heat fusion.
heat added to melt at zero to final T is
mass melt x specific heat water x (TfinalTinitial)
heat lost by hot water is
mass x specific heat x (TfinalTinitial).
Set the sum of these to zero and solve for Tf.