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Dustin Cuocci
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Homework Statement
A 1-kg steel rod is at 227C and is dropped into a 1-litre bath of water at 27C. Assume that these materials are thermally insulated from the rest of the universe. You will determine the final temperature of the steel rod after it reaches thermal equilibrium with the water.
A. Before you calculate this temperature, what are the maximum and minimum temperatures that the steel rod could be at after thermal equilibrium in this situation?
B. Determine the final temperature of the water after the two have reached thermal equilibrium.2. Homework Equations
The Energy Principle:
Delta E = Wsurroundings
C is the specific heat capacity of each material.
3. The Attempt at a Solution
Delta Erod + Delta Ewater = 0
Crod*Mrod*Delta Trod = -Cwater*Mwater*Delta Twater
Crod*Mrod*(Tfrod-Tirod)=-Cwater*Mwater*(Tfwater-Tiwater)
Tfrod=Tfwater=Tf
(1.08)*(1000g)*(Tf-227)=-(1)*(1000g)*(Tf-27)
1080Tf-245160=-1000Tf+27000
2080Tf=272160
Tf=130.85C
Hopefully I've applied the principles and done the mathematics correctly, but I'm super confused about part A. I have no idea what the minimum and maximum temperatures for the rod could be. I guess they're the initial temperatures for both the rod and water - 227C and 27C but I don't know where to start. I'd appreciate any help you can provide. Thanks!
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