A 55.0-g piece of ice at 0.0 is added to a sample of water at 8.0. All of the ice melts and the temperature of the water decreases to 0.0.

How many kg of water were in the sample?

1 answer

(mass ice x heat fusion ice) + [mass melted ice x specific heat melted ice x (Tfinal-Tinitial)] + [mass H2O x specific heat H2O x (Tfinal-Tinitial)] = 0
Substitute and solve for mass H2O (third term) and convert to kg.