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日期:2025-02-17 05:23

CHEMICAL ENGINEERING

CENG0005 – Physical Chemistry – CW 2025

Real gas reaction mixture

a) A batch reactor of constant volume of 500 cm3 at 573 K is filled with 1.5 mol of a gaseous component, Dimer (D), with a critical temperature of 560 K and critical pressure 27 bar. Assuming real gas behaviour according to van der Waals (vdW) equation of state (EoS), calculate the pressure in the reactor.           [10]

b) The dimer component undergoes an elementary decomposition reaction to a gaseous monomer component (M) according to the reaction: D → 2 M. The critical temperature of component M is 420 K, and its critical pressure is 42 bar. Calculate the reactor pressure as function of the conversion of D using vdW-EoS for mixtures. Use the following mixing rules for the two van der Waals constants:

i) Describe your calculation method and present any equations/formulae used.    [30]

ii) Tabulate and plot your results. For your calculations, table, and plot, use a conversion increment of 0.05 (5 %).   [30]

c) Perform. the same calculations, tabulating and plotting your results, assuming that the reaction mixture of D and M behaves like an ideal gas.    [10]

d) Compare and comment on the results between b and c above (real/vdW pressure vs ideal gas pressure), discussing in particular the dominant intermolecular forces.   [6]

e) Calculate the compressibility factor at all conversion values as in b-ii and plot them, i.e. plot the compressibility factor against conversion. Describe your calculation method presenting any equations/formulae used. Comment on all features of the plot, discussing in particular the dominant intermolecular forces.    [14]



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