Problem 14.34 A cube of ice is taken from the freezer at -6.5 C and placed in a
ID: 1475899 • Letter: P
Question
Problem 14.34
A cube of ice is taken from the freezer at -6.5 C and placed in a 95-g aluminum calorimeter filled with 330 gof water at room temperature of 20.0 C. The final situation is observed to be all water at 15.0 C. The specific heat of ice is 2100 J/kgC, the specific heat of aluminum is 900 J/kgC, the specific heat of water is is 4186 J/kgC, the heat of fusion of water is333 kJ/Kg.
Part A
What was the mass of the ice cube?
Express your answer to two significant figures and include the appropriate units.
m = ____ please provide units
Explanation / Answer
Let m is the mass of ice cube
Apply heat gained by ice = heat lost by water and calorometer
m*2100*(0 - (-6.5)) + m*333*10^3 + m*4186*(15-0) = 0.33*4186*(20-15) + 0.095*900*(20-15)
m*(2100*6.5 + 333*10^3 + 4186*15) = 7334.4
m = 7334.4/(2100*6.5 + 333*10^3 + 4186*15)
= 0.0179 kg
= 17.9 grams <<<<<<<<<-------------Answer