- #1
unscientific
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Homework Statement
1. Is (∂P/∂x)(∂x/∂P) = 1?
I realized that's not true, but I'm not sure why.2. Say we have an equation PV = T*exp(VT)
The question wanted to find (∂P/∂V), (∂V/∂T) and (∂T/∂P) and show that product of all 3 = -1.
The Attempt at a Solution
I tried moving the variables about then differentiate but I got all the wrong answers, for example:V = (T/P) * exp (VT)
then to find (∂V/∂T) with P constant, i did product rule.. which gave me wrong answers
T = PV * exp(-VT)
then to find (∂T/∂P) with V constant, i use product rule again..which completely gave me the wrong answers..
So I thought that you're not allowed to move the variables around?
Strangely I got (∂P/∂V) correct despite moving the variables around... coincidence?