Thermodynamic derivation of heat capacity

Click For Summary

Homework Help Overview

The discussion revolves around the thermodynamic derivation of heat capacity, specifically the relationship between heat capacities at constant pressure and volume. Participants are exploring the application of relevant equations and concepts in thermodynamics.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants express uncertainty about how to apply the given equations and concepts, particularly in the context of heat capacity. Questions arise regarding the assumptions, such as whether the system is an ideal gas, and the application of Maxwell relations.

Discussion Status

The discussion is ongoing, with participants sharing their attempts to understand and apply the relevant equations. Some guidance has been offered regarding starting points and relevant thermodynamic identities, but no consensus has been reached on the application of these concepts.

Contextual Notes

There is uncertainty about the specific conditions of the system being analyzed, such as whether it involves an ideal gas, which may affect the application of the equations discussed.

tarletontexan
Messages
29
Reaction score
0

Homework Statement



cp=cv+TV?^2/?

Homework Equations




cp=T/N(\partialS/\partialT)p

The Attempt at a Solution


I have the equation, just not sure how to apply it? Any help would be appreciated
 
Physics news on Phys.org
tarletontexan said:

Homework Statement



cp=cv+TV?^2/?

Homework Equations




cp=T/N(\partialS/\partialT)p

The Attempt at a Solution


I have the equation, just not sure how to apply it? Any help would be appreciated

I am not sure what the question is. Are we dealing with an ideal gas?

AM
 
yes, I know that there are several maxwell relations to get to the solution I just don't know how to apply them.
 
tarletontexan said:
yes, I know that there are several maxwell relations to get to the solution I just don't know how to apply them.
Start with:

TdS = dU + PdV

CP = (∂Q/∂T)P = T(∂S/∂T)P = (∂U/∂T)P + P(∂V/∂T)P

AM
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
2
Views
5K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
1
Views
7K
  • · Replies 32 ·
2
Replies
32
Views
4K
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K