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avocadogirl
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Homework Statement
I have a system that is defined by the equation:
u = Av-2exp(s/R)
I'm looking for the final temperature of the system knowing that as the system changes, pressure will be halved and (s/R) will be a constant.
The equation which relates energy, temperature, and pressure is du = Tds - Pdv
How do I take the derivative of Av-2exp(s/R) to get it in the form Tds - Pdv?
Homework Equations
[tex]\partial[/tex]u[tex]\partial[/tex]s=T
[tex]\partial[/tex]u[tex]\partial[/tex]v=-P
du = [tex]\partial[/tex]u[tex]\partial[/tex]s ds + [tex]\partial[/tex]u[tex]\partial[/tex]v dv
The Attempt at a Solution
Do I take the partial derivative of the whole thing for v, then add another term that is the partial derivative of the whole thing for s?
-2Av-3exp(s/R) + partial derivative for exp(s/R) with respect to s = du?
And, when you're taking the derivative of exp(s/R), does it come out something like: 1/Rexp(s/R)?