Nitrogen is contained in a closed pressurized vessel. The vessel and its contents are in thermal equilibrium with the environment at temperature T₀ = 300 K. The environment pressure is P₀ = 1.013 bar. The vessel does not move and is at zero elevation. Assume that the nitrogen in the vessel obeys the ideal gas law.
(a) Derive an expression for the exergy content of the vessel in the form ξ = ξ(P,P₀, T₀).
(b) Evaluate ξ by using one of the multiparameter equations of state for nitrogen implemented in FLUIDPROP.
(c) Make a P-ξ chart by considering pressures up to 500 bar, and compare the results obtained with the two models.