An insulated beaker with negligible mass contains liquid water with a mass of 0.240 kg and a temperature of 70.6 ∘C . How much ice at a temperature of -13.8 ∘C must be dropped into the water so that the final temperature of the system will be 29.0 ∘C ? Take the specific heat of liquid water to be 4190 J/kg⋅K , the specific heat of ice to be 2100 J/kg⋅K , and the heat of fusion for water to be 3.34×105 J/kg .

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