a 1.0kg sample of metal with a specific heat of 0.50KJ/Kg C is heated to 100.0C and then placed in a 50.0g sample of water at 20.0C . What is the final temperature of the metal and the water?

Answer 1

heat lost by metal + heat gained by water = 0

[mass metal x specific heat metal x (Tfinal-Tinitial)] | [mass H2O x specific heat H2O x (Tfinal-Tinitial)] = 0

Plug in the numbers and solve for Tf. That's the only unknown.