Starting from the corrected expression for the entropy S(T.V.N), Eq. (4.47), of an ideal gas at temperature T, obtain expressions for the following thermodynamic functions: E,F,G,H, P.M eV S=kp In N = kb[N In V - N In N +N Ine] + Nkpo = NkB In + N =Nx8 [W +0] +] (4.47)