An insulated beaker with negligible mass contains liquid water with a mass of 0.285 kg and a temperature of 75.4 ∘c . part a how much ice at a temperature of -17.1 ∘c must be dropped into the water so that the final temperature of the system will be 22.0 ∘c take the specific heat of liquid water to be 4190 \rm{j/kg \cdot k}, the specific heat of ice to be 2100 \rm{j/kg \cdot k}, and the heat of fusion for water to be 334 \rm{kj/kg}.