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knowlewj01
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Homework Statement
Assuming V is a function of P and T such that
[itex]V = V(P,T)[/itex]
express the differential changes in volume due to differential changes in Temperature and pressure, what is the fractional/relative change?
Homework Equations
The Attempt at a Solution
since V is a function of P and T:
[itex] dV = \frac{\partial V}{\partial T} dP + \frac{\partial V}{\partial P} dT[/itex]
so we can say:
[itex] \left[\frac{dV}{dP}\right]_T = \frac{\partial V}{\partial T}[/itex]
and
[itex] \left[\frac{dV}{dT}\right]_P = \frac{\partial V}{\partial P}[/itex]
is this correct or have i read the question wrong, I am not really sure what I'm doing.