(a) Show that the entropy of the Vander Waals gas is N log nQ(V nb) N 5 2 (b) Show that the energy is U 3 2 N N2 V (c) Show that the enthalpy H U PV is H(, V) 5 2N N2b V 2N2 V H(, P) 5 2N NbP 2NP All results are given to first order in the Vander Waals correction terms , b ...

a b c where we have expanded the first term after the first equality into a geometric series drop ...

(a) Show that the entropy of the Vander Waals gas is = N{log[nQ(V nb)/N] +...

Question:

(a) Show that the entropy of the Vander Waals gas is

σ = N{log[nQ(V – nb)/N] + 5/2}.

(b) Show that the energy is

U = 3/2 Nτ – N2α/V

(c) Show that the enthalpy H ≡ U +PV is

H(τ, V) = 5/2Nτ + N2bτ/V – 2N2α/V;
H(τ, P) = 5/2Nτ + NbP – 2NαP/τ.

All results are given to first order in the Vander Waals correction terms α, b.