Classical thermodynamics problem.

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SUMMARY

The discussion centers on calculating the global increase in entropy when two identical masses of water at temperatures T1 and T2 reach thermal equilibrium. The initial formula proposed by the user, Dimi, is ΔS = m*C*ln(T2/T1), which is incorrect. The correct formula for the increase in entropy is 2m*C*ln[(T1+T2)/2√(T1*T2)], as provided in the textbook. The key to solving the problem lies in understanding the equilibrium temperature and the change in entropy for each mass of water.

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Kalimaa23
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Hm, I'm pretty much stuck on a thermodynamics problem.

If you consider two identical masses of water at temperatures T1 and T2, what is the global increase in entropy after they have reached thermal equilibrium.

The best I could come up with is [del]S = m*C*ln(T2/T1).

The answer listed in the book is 2m*C*ln[(T1+T2)/2Sqrt(T1*T2)]

I am completely and utterly stuck. Any help would be greatly appreciated.

-Dimi
 
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This will probably be moved to HWK. help, but think about what the equilibrium temperature is, and the change in Entropy of each block.
 
Yes, that's it. I've got it. Thanks.
 

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