Question

Calculate the final temperature when a 18.7 gram sample of ice at 0 degrees C is placed into a styrofoam cup containing 113 grams of water at 71.6 degrees C. Assume that there is no loss or gain of heat from the surroundings.

Heat of fusion of ice = 333 Jg^-1
Specific heat of water = 4.184 JK^-1g^-1
a.) Final temperature = ________ degrees C

b.) Calculate the entropy change that occurs during this process.
Entropy change = ________ JK^-1

Please show and explain because I tried doing it but I messed up some distributions and I can't get the right answer.

Answer 1

heat absorbed by ice + heat absorbed by water from melted ice at zero C + heat lost by warm water = 0

[mass ice x heat fusion] + [mass melted ice x specific heat water x (Tfinal-Tinitial)] + [mass warm water x specific heat water x (Tfinal-Tinitial)] = 0
Solve for Tfinal, the only unknown in the equation.