A piece of unknown metal with mass 68.6 g is heated to an initial temperature of 100 °C and dropped into 84 g of water (with an initial temperature of 20 °C) in a calorimeter. The final temperature of the system is 52.1°C. The specific heat of water is 4.184 J/g*⁰C. What is the specific heat of the metal?

(a)0.171
(b)0.343
(c)1.717
(d)3.433

1 answer

mass metal x specific heat metal x (Tfinal-Tinitial) + mass H2O x specific heat H2O x (Tfinal-Tinitial) = 0
You know all of these except specific heat of the metal. Substitute and solve for that. Post your work if you get stuck.