Chapter 9: Reaction Mechanisms, Pathways, Bioreactions and Bioreactors

Derive: P₁

Mole balance on \( P_1 \)

\( \frac{dP_1}{dt} = -2k P_1 M \)

\( M = \frac{M_o}{1 + k M_o t} \)

\( \frac{dP_1}{dt} = \frac{-2k P_1 M_o}{1 + k M_o t} \)

Integrating

\( P_1 = M_o \left( \frac{1}{1 + k M_o t} \right)^2 \)

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