Find (∂V/∂T) of a Van der Waals Gas using variables? Evaluating a Derivative of the van der Waals Equation using the Cyclic Rule For the van der Waals equation of state: V-b(P+ a/v^2)=RT the derivative (∂V/∂T)p is difficult to obtain directly because finding an equation for V in terms of P or T requires solving the cubic equation: PV^3 - (bP +RT)V^2 + a(V-b)=0 a and b are two parameters that take into account the size of the molecule and the strength of the attractive interaction. Because P is linear in the van der Waals equation, it should be easier to find the partial derivatives: (∂P/∂T)v and (∂V/∂P)T = 1/(∂P/∂V)T needed to utilize the cyclic rule. Using the cyclic rule, find (∂V/∂T)P Express your answer in terms of the parameters, constants, and variables in the van der Waals equation (P,V,R,T,a,and b). What exactly is (∂V/∂T) at a constant P in terms of P,V, R, T, a, and b? Thanks!