A piece of metal of mass 18 g at 107◦C is placed in a calorimeter containing 56.5 g of water at 25◦C. The final temperature of the mixture is 56.3◦C. What is the specific heat capacity of the metal? Assume that there is no energy lost to the surroundings.

Answer 1

I assume the heat capacity of the calorimeter is zero.
heat lost by metal + heat gained by waer = 0

[mass metal x specific heat metal x (Tfinal-Tinitial)] + [mass H2O x specific heat H2O x (Tfinal-Tinitial)] = 0.
Substitute and solve for specific heat metal.