A student is playing around with a calorimeter and wishes to determine the latent heat of fusion of water for her chemistry class. She places 30 g of ice (at an initial temperature of 0 C) into 200 g of water at 30 C. Assume the calorimeter and water were in thermal equilibrium before the ice was added. The mass of the calorimeter is 300 g and its specific heat is 0.380 J/(g K). Using 4.186 J/(g K) for the specific heat capacity of water, find the latent heat of fusion for the chemistry student if the final equilibrium temperature of the calorimeter was 8.5 C.