Consider a function [P+Vm2a][Vmb]=RT, where R,a, and b are constants and P,Vm, and T are independent variables. This relationship is called the van der Waals equation and a and b are material specific constants, often called the van der Waals constants. a. Solve this function for P. b. What is the value of P as described by the van der Waals equation for N2 if V=10.L,n=1mol, and T=300. K ? Note: You will need to look up values for a and b for N2. Remember to cite any references you use. c. Evaluate the two, first partial derivatives of P for the van der Waals equation