- #1
Gregg
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- 0
Homework Statement
I need to find a p-V region where the temperature is decreasing
## (p + \frac{a}{V^2} ) (V-b) = RT ##
The Attempt at a Solution
So I thought that a place to start would be
## dT = \frac{\partial T}{\partial P} dP + \frac{\partial T}{\partial V} dV < 0 ##
So ##\frac{\partial T}{\partial P} dP < - \frac{\partial T}{\partial V} dV ##
Do I now, ## \int \frac{\partial T}{\partial P} dP < - \int \frac{\partial T}{\partial V} dV ##?
## \frac{\partial T}{\partial P} = V - b ##
##\frac{\partial T}{\partial V} = p + a \log (V) -2 \frac{a b}{V^3} ##
Is this the way to do it? The integrals are complicated and I can't really do them