A certain material has the Helmoltz free energy given as: F(T.V,n) = =nRT in [cr36 - ) n7. b] - - NRT + na Where a, b, and C are constants. Calculate the following quantities as a function of T. V. and n. 1- Entropy 2- Pressure 3- Internal energy 4- Chemical potential 5- Enthalpy 6- Gibbs free energy 7-Heat capacity at constant volume 8- Heat capacity at constant pressure