Internal energy, thermodynamics

AI Thread Summary
The discussion focuses on the equation for internal energy in thermodynamics, expressed as U = (f/2) * N * k * T, and its relation to the ideal gas law. The user differentiates the equation to find delta U and seeks clarification on whether V and p represent initial or final states. It is clarified that V and p are not initial or final values but rather the values before differentiation. The user acknowledges submitting the thread in the wrong category and has created a new thread in the appropriate section. Understanding the context of V and p is crucial for correctly applying the thermodynamic principles discussed.
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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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