As shown in the figure below, you have a system including a Aluminum cup with mass Mcup = 0.255 kg. The cup contains water with mass Mwater = 0.333 kg. Both the cup and water are initially at a temperature of 23.4 degrees Celsius. You drop ice into the system. The ice has an initial temperature of -39.8 degrees Celsius and a mass of Mice = 1.0983 kg. The system will reach equilibrium with none the ice having melted, but some of the water having frozen at the final temperature of 0 degrees Celsius.   None of the ice melts some of the water freezes onto the ice the system reaches equilibrium at T= 0 degrees C Find the mass of water frozen, mfrozen =

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter20: Kinetic Theory Of Gases
Section: Chapter Questions
Problem 69PQ
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As shown in the figure below, you have a system including a Aluminum cup with mass Mcup = 0.255 kg. The cup contains water with mass Mwater = 0.333 kg. Both the cup and water are initially at a temperature of 23.4 degrees Celsius. You drop ice into the system. The ice has an initial temperature of -39.8 degrees Celsius and a mass of Mice = 1.0983 kg. The system will reach equilibrium with none the ice having melted, but some of the water having frozen at the final temperature of 0 degrees Celsius.

 

None of the ice melts

some of the water freezes onto the ice

the system reaches equilibrium at T= 0 degrees C

Find the mass of water frozen, mfrozen =

Material c (J/(kg K))
Aluminum 897
Beryllium 1820
Cadmium 231
Iron 412
Lead 129
Polyethylene 2303
Steel 466
Uranium 116
Water c (J/(kg K))
ice 2090
water 4186
steam 2010
Water L (J/kg)
Fusion 334000
Vaporization 2230000
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