Calorimetry: a Block of Ice at 0

Multiple Choice

Calorimetry: A block of ice at 0.000°C is added to a well-insulated 147-g aluminum calorimeter cup that holds 200 g of water at 10.0°C. The water and aluminum cup are in thermal equilibrium, and the specific heat of aluminum is 910 J/(kg ∙ K) . If all but 2.00 g of ice melt, what was the original mass of the block of ice? The specific heat of water is 4190 J/(kg ∙ K) , its latent heat of fusion is 334 kJ/kg, and its latent heat of vaporization is 2260 kJ/kg.

A) 31.1 g
B) 35.6 g
C) 38.8 g
D) 42.0 g
E) 47.6 g