Help me to solve the equation from Thermodynamics

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Homework Help Overview

The discussion revolves around deriving a specific equation in thermodynamics, specifically the relationship between heat capacities and other thermodynamic variables. The original poster seeks assistance in proving the equation Cp - Cv = T(dP/dT)v * (dV/dT)p.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants inquire about the definitions of the variables involved and the equations the original poster has at their disposal. There is a focus on clarifying the full context of the problem and the specific question being addressed.

Discussion Status

The conversation is ongoing, with participants prompting the original poster for more details about the variables and equations related to the problem. Some participants have noted that the task appears to be a homework assignment, which has led to further questioning about the requirements and expectations.

Contextual Notes

The original poster mentions that the lecturer provided the equation without additional details, which raises questions about the assumptions and context necessary for the derivation.

Adib Morzuki
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Someone can help me to prove the question below please!

someone know how to derive this equation Cp-Cv=T(dP/dT)v*(dV/dT)p*?
 
Last edited:
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You need to say what all those variables represent, and what equation(s) you have from which you wish to derive this one. What is the actual full question you are trying to answer?
 
This sounds like a homework problem. Is it?
 
mal4mac said:
You need to say what all those variables represent, and what equation(s) you have from which you wish to derive this one. What is the actual full question you are trying to answer?
That is the problem. My lecturer asked me to derive the equation given without any details.
 
Chestermiller said:
This sounds like a homework problem. Is it?
More like it but it is an assignment for us. My lecturer just gave us that equation and asked to derive the equation without any details.
 
*UPDATE*

The question are asking how to prove the left equation equal to the right equation
 
What is dU in terms of dS and dV? If we represent the entropy S as S(T,P), what is dS in terms of the partial derivatives of S with respect to T , P, and dT and dP?

Chet
 

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