A 400-G Block of Ice at - $15.00 ^ { \circ } \mathrm { C }$

Multiple Choice

A 40.0-g block of ice at - $15.00 ^ { \circ } \mathrm { C }$ is dropped into a calorimeter (of negligible heat capacity) containing water at $15.00 ^ { \circ } \mathrm { C }$ When equilibrium is reached, the final temperature is $8.00 ^ { \circ } \mathrm { C }$ How much water did the calorimeter contain initially? The specific heat of ice is $2090 \mathrm {~J} / \mathrm { kg } \cdot \mathrm { K }$ that of water is $4186 \mathrm {~J} / \mathrm { kg } \cdot \mathrm { K }$ and the latent heat of fusion of water is $33.5 \times 10 ^ { 4 } \mathrm {~J} / \mathrm { kg }$

A) 302 g
B) 546 g
C) 634 g
D) 405 g
E) 345 g