The molecular partition function for a van der Waals gas can be written as: q = ne. (V Nb) exp[(-a. N/V)/kT] . (2) Here na is the quantum concentration variable we derived in class, that comes from a quantum mechanical model for each gas particle. Assuming we have N identical non-interacting particles: a) Find the canonical partition function. b) Find expressions for F, U and S. c) Finally, derive an expression for the pressure p. How does this compare to the usual van der Waals gas equation of state we've seen before