If 82.4 g of cold water (initially at 22 °C) is mixed in an insulated container with 96 g of hot water (initially at 88 °C), what will be the final temperature of the water in °C?

Answer 1

heat gained by cold water + heat lost by hot water = 0

[mass cold H2O x specfic heat H2O x (Tfinal-Tinitial)] + [mass hot H2O x specific heat H2O x (Tfinal-Tinitial)] = 0
Substitute the numbers and solve for Tf.