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An insulated beaker with negligible mass contains liquid water with a mass of 0 . 3 2 0 kg and a temperature of 8 2

An insulated beaker with negligible mass contains liquid water with a mass of 0.320 kg and a temperature of 82.1C. How much ice at a temperature of -23.1C must be dropped into the water so that the final temperature of the system will be 21.0C? The correct answer is 0.174 kg, please show step by step how you get this answer. Take the specific heat of liquid water to be 4190 J/kgK, the specific heat of ice to be 2100 J/kgK, and the heat of fusion for water to be 3.34\\times 105 J/kg

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