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An insulated beaker with negligible mass contains liquid water with a mass of 0.250\rm{kg} and a temperature of 60.6\rm{^ C} . Part A How much ice at a temperature of -22.4\rm{^C} must be dropped into the water so that the final temperature of the system will be 40.0\rm^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 3.34×105\rm{J/kg} .

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