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LoopQG
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Homework Statement
Given the Equation of State f(P,V,T)=0 and r=r(P,V,T) be a constraint show that
these are all partials i can't get latek to work for me sorry about that
(dp/dV)_r (dV/dT)_r (dT/dP)_r = 1
the _r means holding r constant.
hint consider dr
I have tried several different ways but I think I am starting incorrectly, any hint or tips are welcome.
my first thought is
take [tex] df= (\partial f/ \partial P)dp + (\partial f/\partial V)dV + (\partial f/\partial T)dT = 0 [/tex]
and similarly do dr but I don't know how to connect f and r.
Any help appreciated.