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Physics Heat & Thermodynamics Level: High School

Calorimetry

An insulated beaker with negligible mass contains liquid water with a mass of 0.220 kg and a temperature of 85.7 degrees C . How much ice at a temperature of -20.3 degrees C must be dropped into the water so that the final temperature of the system will be 23.7 degrees C ?

Calculate the heat lost by the water when cooled to Tf . Determine an expression for the heat gained by the ice in terms of the mass of ice . Since there is no heat added to or removed from the system , the total heat change of the system must be zero . Set up the approximate equation and solve for the mass of ice .

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 334 kJ/kg .