A sample of gold is at a initial temperature of 350 k. Once dropped into a coffe cup calorimeter of heat capacity 400 k^-1 it contains 50 g of water at 300 k. Specific heat capacity is 0.129 for gold and 4.18 for water. what is the final temp of all gold, coffee cup, and water.

Answer 1

heat lost by Au + heat gained by water = 0

[mass Au x specific heat Au x (Tfinal-Tinitial)] + [mass H2O x specific heat H2O x (Tfinal-Tinitial)] = 0
Solve for Tfinal.