Internal energy, thermodynamics

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Homework Help Overview

The discussion revolves around the concept of internal energy in thermodynamics, specifically focusing on the equation U = (f/2) * N * k * T and its relationship to the ideal gas law. Participants are exploring the implications of differentiating this equation and the meanings of the variables involved.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to clarify the roles of V and p in the differentiated expression for delta U, questioning whether they represent initial or final states. Some participants provide responses that suggest V and p are constants during differentiation, while others express confusion about this interpretation.

Discussion Status

The discussion is ongoing, with some participants providing guidance on the interpretation of V and p, but there remains uncertainty among others regarding the definitions and implications of these variables. The original poster has also indicated a potential misplacement of the thread, which may affect the flow of discussion.

Contextual Notes

There is a mention of a new thread being created in a different category, which may indicate a desire for more focused discussion or clarification on the topic.

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[SOLVED] Internal energy, thermodynamics

Homework Statement


I have the equation for the internal energy:

U = (f/2) * N * k * T, where f is the degrees of freedom, N is the number of molecules, k is Bolzmann's constant and T is the temperature in Kelvin.

This can be written as U = (f/2)*p*V using the ideal gas law. Differentiating this I get:

delta U = (f/2)*(delta_p*V + p*delta_V).

In this equation, I know what delta_p and delta_V are, but what about V and p? Are they the initial or final states?

Thanks in advance.
 
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V and P are just what they were before you differentiated the expression.

you get delta_U as a function of P, V, Delta_p and delta_U. V and p are NOT the initial or final values.
 
I'm sorry, but I don't understand what you mean.

V and p are not the final or initial values? If not, what are they then?
 

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