2) A 100-g block of copper at -30°C is placed in an insulated container holding 250 ml of water at 1°C. Specific heat at constant pressure for water, copper and ice: cw=4.186 kJ/(kgK) c.=0.386 kJ/(kgK), c=2.093kJ/kg. Latent heat of fusion for water L=333 kJ/kg. Everything happens at 1 atm. a) If we assume that none of the water freezes and balance energy, we find a final temperature <0°C. Is this possible? b) If we assume that all of the water freezes and balance energy, we find a final temperature >0°C. Is this possible? c) Actually, only some of the water freezes. What is the final temperature of the system? d) How much water actually freezes?

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Chapter10: Thermal Physics
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2) A 100-g block of copper at -30°C is placed in an insulated container holding 250 ml of water at
1°C. Specific heat at constant pressure for water, copper and ice: cw=4.186 kJ/(kgK) c.=0.386
kJ/(kgK), c=2.093kJ/kg. Latent heat of fusion for water L=333 kJ/kg. Everything happens at 1
atm.
a) If we assume that none of the water freezes and balance energy, we find a final
temperature <0°C. Is this possible?
b) If we assume that all of the water freezes and balance energy, we find a final
temperature >0°C. Is this possible?
c) Actually, only some of the water freezes. What is the final temperature of the system?
d) How much water actually freezes?
Transcribed Image Text:2) A 100-g block of copper at -30°C is placed in an insulated container holding 250 ml of water at 1°C. Specific heat at constant pressure for water, copper and ice: cw=4.186 kJ/(kgK) c.=0.386 kJ/(kgK), c=2.093kJ/kg. Latent heat of fusion for water L=333 kJ/kg. Everything happens at 1 atm. a) If we assume that none of the water freezes and balance energy, we find a final temperature <0°C. Is this possible? b) If we assume that all of the water freezes and balance energy, we find a final temperature >0°C. Is this possible? c) Actually, only some of the water freezes. What is the final temperature of the system? d) How much water actually freezes?
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