An insulated beaker with negligible mass contains liquid water with a mass of 0.255 kg and a temperature of 63.1 ∘C . How much ice at a temperature of -24.1 ∘C must be dropped into the water so that the final temperature of the system will be 21.0 ∘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 .

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics
Section: Chapter Questions
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An insulated beaker with negligible mass contains liquid water with a mass of 0.255 kg and a temperature of 63.1 ∘C .

How much ice at a temperature of -24.1 ∘C must be dropped into the water so that the final temperature of the system will be 21.0 ∘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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