.100 KG of an unknown metal at 94°C is placed in 100 g of water at 10°C the final temperature of the metal and water are at 70°C what is the heat capacity of the unknown metal

Answer 1

heat lost by mtal + heat gained by H2O = 0

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

Substitute the numbers and solve for specific heat metal which is the only unknown in the equation.

Answer 2

Be careful with the units. If you use the water as 100 g I would change the metal from kg to grams.