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n insulated beaker with negligible mass contains liquid water with a mass of 0.240 kg and a temperature?

of 84.6 C. 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 30.0 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 334kJ/kg.

0.24 kg * 4190 J / kg K * 54.6 = 54.9 kJ
needs to be absorbed by the ice.

1 kg of ice from -17.1 C to 30 C water will absorb =
17.1 * 2.1 kJ + 334 kJ + 30 * 4.19 kJ = 495.61 kJ/kg

54.9 kJ / 495.61 kJ / kg = 0.111 kg of ice

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