Classical thermodynamics problem.

In summary, The conversation is about a thermodynamics problem involving two identical masses of water at different temperatures and calculating the global increase in entropy after reaching thermal equilibrium. The person asking for help has come up with an answer of [del]S = m*C*ln(T2/T1), but the answer listed in the book is 2m*C*ln[(T1+T2)/2Sqrt(T1*T2)]. They are stuck and looking for guidance. The other person suggests thinking about the equilibrium temperature and the change in entropy of each block. After thinking about it, the person asking for help understands and thanks them.
  • #1
Kalimaa23
279
0
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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  • #2
This will probably be moved to HWK. help, but think about what the equilibrium temperature is, and the change in Entropy of each block.
 
  • #3
Yes, that's it. I've got it. Thanks.
 

1. What is classical thermodynamics?

Classical thermodynamics is a branch of physics that studies the relationships between heat, work, and energy in a system. It involves the study of how energy is transferred and transformed in various physical processes.

2. What is a thermodynamic system?

A thermodynamic system is a region of space that is under study and includes everything within its boundaries. It can be an open system, where both matter and energy can be exchanged with the surroundings, or a closed system, where only energy can be exchanged.

3. What are the laws of thermodynamics?

The laws of thermodynamics are fundamental principles that govern the behavior of energy in a system. The first law states that energy cannot be created or destroyed, only transferred or converted. The second law states that the total entropy of a closed system will always increase over time. The third law states that the entropy of a perfect crystal at absolute zero temperature is zero.

4. What is a thermodynamic process?

A thermodynamic process is any physical or chemical change that a thermodynamic system undergoes. It can be classified as either reversible or irreversible, depending on whether the system can return to its original state after the process is reversed.

5. How can classical thermodynamics be applied in real-life situations?

Classical thermodynamics has many practical applications, such as in designing engines and refrigeration systems, understanding weather patterns, and predicting the behavior of complex systems. It is also used in fields like chemistry, material science, and biology to study the behavior of molecules and chemical reactions.

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