A 35-G Block of Ice at - $14 ^ { \circ } \mathrm { C }$

Multiple Choice

A 35-g block of ice at - $14 ^ { \circ } \mathrm { C }$ is dropped into a calorimeter (of negligible heat capacity) containing 400 g of water at $0 ^ { \circ } \mathrm { C }$ When the system reaches equilibrium, how much ice is left in the calorimeter? 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) 38 g
B) 41 g
C) 35 g
D) 33 g
E) 32 g