Sustainability and Stability - Bioprocess Engineering: Kinetics, Biosystems, Sustainability and Reactor Design - page 804

TABLE 16.1 Steady-state solutions of reactions in a CSTR with simple kinetic expressions. s D¼1.dCont'd

(12) Second-order reversible: AþB $R , r ¼ k f C A C B k b C R

q

½1k f s ðC A0 C B0 Þþk b s

2

þ4k f s ½C A0 þk b s ðC A0 þC R0 Þ 1þk f s ðC A0 C B0 Þk b s

C A ¼

2k f s

q

½1 k f s ðC A0 C B0 Þþk b s

2

1þ k f s ðC A0 þC B0 Þþk b s þ4k f s ½C A0 þk b s ðC A0 þC R0 Þ

r ¼

2

2k f s

(13) Second-order reversible: AþB / CþD , r ¼ k f C A C B k b C C C D

q

½1k f s ðC A0 C B0 Þþk b s ðC C0 þC D0 þ2C A0 Þ

2

þ4ðk f k b Þ s ½C A0 þk b s ðC A0 þC C0 ÞðC A0 þC D0 Þ 1þk f s ðC A0 C B0 Þþk b s ðC C0 þC D0 þ2C A0 Þ

C A ¼

;

2ðk f k b Þ s

C A0 þ k b s ðC A0 þC D0 ÞðC A0 þC D0 Þ
1 k f s ðC A0 C B0 Þþk b s ðC C0 þC D0 þ2C A0 Þ

C A ¼ if k f ¼ b b