Chapter 9: Reaction Mechanisms, Pathways, Bioreactions and Bioreactors

Derive: R_j

\( r \frac{dR_1}{dt} = R_{1f} - R_1 - r k_p M R_1 = 0 \)

\( R_1 = \frac{R_{1f}}{1 + r k_p M} = \frac{R_{10}}{1 + r k_p M} \)

\( r \frac{dR_j}{dt} = 0 - R_j + \left[ r k_p M R_{j-1} - r k_p M R_j \right] \)

\( R_j = \frac{R_{j-1} r k_p M}{1 + r k_p M} \)

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