Chapter 9: Reaction Mechanisms, Pathways, Bioreactions and Bioreactors

Derive: R₁

\( \frac{dR_1}{dt} = k_p M I = k_p R_1 M \)

\( \frac{dR_1}{d\theta} = I_0 e^{-\theta} - R_1 \)

\( \frac{dR_1}{d\theta} + R_1 = I_0 e^{-\theta} \)

\( R_1 e^{\theta} = I_0 \theta + K , \quad \theta = 0, \quad R_1 = 0 \Rightarrow K = 0 \)

\( R_1 = I_0 \theta e^{-\theta} \)

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