Solving Thermodynamics Problem: Find Relation Between Co-ordinates

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At thermodynamic equilibrium, the temperatures and pressures of two subsystems separated by a movable diathermal wall equalize, leading to T'1 = T'2 = T and P'1 = P'2. The specific volumes v'1 and v'2 may also be equal, but the number of moles on either side could differ, affecting the overall system. The equation P1V1/T1 = P2V2/T2 can be rearranged to isolate T2, but specific guidance on this was requested. The discussion also touches on the relationship between specific heat capacities, indicated by Y = Cp/Cv. Overall, the thread seeks clarity on these thermodynamic principles and equations.
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Homework Statement



Two subsystems with thermodynamic parameters (P1,V1,T1) and (P2,V2,T2) are separated by a movable diathermal wall Find the relation if any between the thermodynamic co-ordinates when they attain equilibrium.

Homework Equations


The Attempt at a Solution



What I understand is at the thermodynamic equilibrium point the temperature of the system (and hence for both the subsystems) will be the same,T'1=T'2= T.The piston will mobe a bit and the two pressures P'1 and P'2 will be equal to each other as well.The volumes will be changed...

But are there any more subtle point that I am missing?There are no more conditions given...
Should it be anything like this:

(P'1*v'1/T)=(P'2*v'2/T) and hence, v'1=v'2?

where v'1 and v'2 are the specific volumes...
 
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What about the mass or number of moles on either sides? Are they same?
 
could you please upload everythings about thermodynamic...please i need it
 
The answer is fully detailed in Callen, Thermodynamics and an Introduction to Thermostatistics. Please, borrow this famous book in your favorite library...
 
can you help me?? what is the equation for specific heat capacity? is it Y=Cp/Cv??

also i can't remember how to rearange the equation P1V1/T1=P2V2/T2 i need to get T2 on its own

please help I am really stuck
 
hasan19892007 said:
could you please upload everythings about thermodynamic...please i need it

abbie230391 said:
can you help me?? what is the equation for specific heat capacity? is it Y=Cp/Cv??

also i can't remember how to rearange the equation P1V1/T1=P2V2/T2 i need to get T2 on its own

please help I am really stuck

Please start separate threads if you have questions. This thread is for helping with the question posted by neelakash in message #1
 
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