A rod made of copper with a mass of 0.90 kg is heated to 850°C, then dropped into 5.00 kg of water at 10°C. What is the total change in entropy (in J/K) of the rod-water system, assuming no energy s last by heat from this system to the surroundings? The specific heat of copper is 387 J/(kg. K), and the specific heat of water is 4,186 J/(kg. K). (Hint: note that dQ = mcdT.)

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A rod made of copper with a mass of 0.90 kg is heated to 850°C, then dropped into 5.00 kg of water at 10°C. What is the total change in entropy (in J/K) of the rod-water system, assuming no energy
is last by heat from this system to the surroundings? The specific heat of copper is 387 J/(kg K), and the specific heat of water is 4,186 J/(kg K). (Hint: note that dQ = mcdT.)
X
555
First, consider conservation of energy. Using the specific heats, can you find the final equilibrium temperature of the combined system? Next consider the infinitesimal change in entropy ds. How does
it depend on dQ and temperature? Note the expression given for dQ in the hint. Can you write an infinitesimal expression for each object that can be integrated from the initial to final temperature?
J/K
Transcribed Image Text:A rod made of copper with a mass of 0.90 kg is heated to 850°C, then dropped into 5.00 kg of water at 10°C. What is the total change in entropy (in J/K) of the rod-water system, assuming no energy is last by heat from this system to the surroundings? The specific heat of copper is 387 J/(kg K), and the specific heat of water is 4,186 J/(kg K). (Hint: note that dQ = mcdT.) X 555 First, consider conservation of energy. Using the specific heats, can you find the final equilibrium temperature of the combined system? Next consider the infinitesimal change in entropy ds. How does it depend on dQ and temperature? Note the expression given for dQ in the hint. Can you write an infinitesimal expression for each object that can be integrated from the initial to final temperature? J/K
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