The natural variables for the internal energy U are the entropy S and the volume V. This means that, if you know S and V, you can find U(S, V) and simple expressions for T and P. Supposed instead that you know U(T,V). Show that this leads to the following expression for P: P dT + f(V) T T2 where f(V) is an arbitrary function of V.
The natural variables for the internal energy U are the entropy S and the volume V. This means that, if you know S and V, you can find U(S, V) and simple expressions for T and P. Supposed instead that you know U(T,V). Show that this leads to the following expression for P: P dT + f(V) T T2 where f(V) is an arbitrary function of V.
Related questions
Question
Transcribed Image Text:The natural variables for the internal energy U are the entropy S and the volume V.
This means that, if you know S and V, you can find U(S, V) and simple expressions for T
and P.
Supposed instead that you know U(T, V).
Show that this leads to the following expression for P:
-/),
dT
+ f(V)
T
aV
T2
where f(V) is an arbitrary function of V.
Expert Solution
Step 1
Given:-
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
