Classical thermodynamics problem.

AI Thread Summary
The discussion revolves around a thermodynamics problem involving two identical masses of water at different temperatures, T1 and T2, and the calculation of the global increase in entropy after they reach thermal equilibrium. The initial formula proposed for entropy change was incorrect, leading to confusion. A key point is to consider the equilibrium temperature and the entropy change for each mass of water. After some guidance, the participant realized the correct approach to solve the problem. The conversation highlights the importance of understanding thermal equilibrium and entropy calculations in thermodynamics.
Kalimaa23
Messages
277
Reaction score
1
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
 
Physics news on Phys.org
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.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top