Reserve energy for warming the ice

An ideal vessel receives 0.200 kg ice at −10°C and 0.100 kg water at 30°C. Use ci = 2100 J/(kg·K), cw = 4200 J/(kg·K), and Lf = 334000 J/kg.

How much of the initial ice melts at equilibrium?

Organize the givens & assumptions

Ice = 0.200 kg at −10°C
Water = 0.100 kg at 30°C
ci = 2100; cw = 4200 J/(kg·K)
Lf = 334000 J/kg

Ideal insulated calorimetry at ordinary atmospheric pressure, no evaporation or other work, equilibrium final state and stated constant model capacities unless a temperature dependence is specified. Vessel heat capacity is negligible except where it is an explicit unknown. Pure ice/water melts at 0°C; no supercooling.

A $125.15\ \mathrm g$
B $200\ \mathrm g$
C $25.15\ \mathrm g$
D $37.72\ \mathrm g$

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