A sample of silver with a mass of 63.3 g is heated to a temperature of 384.4 K

Question

and placed in a container of water at 290.0 K. How much heat is released
into the water?

Answer 1

heat lost by Ag + heat gained by H2O = 0

[mass Ag x specific heat Ag x (Tfinal-Tintial)] + [mass H2O x specific heat H2O x (Tfinal-Tinitial)] = 0
Substitute and solve for Tfinal which is the only unknown.
Then to find heat released, mass Ag x specific heat x delta T (where delta T = Tfinal-Tinitial for Ag).