Question

a 20.94-g sample of an unknown metal is heated to 99.4 degrees Celsius in a hot water bath until thermal equilibrium is reached. The metal is quickly transferred to 100 mL of water at 22.0 degrees Celsius contained in a styrofoam cup. The thermal equilibrium temperature of the metal plus water mixture is 24.6 degrees Celsius. What is the Specific heat capacity of the metal?

Answer 1

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

Plug in all the numbers and solve for specific heat metal.
Post your work if you run into trouble.