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What does the equation, \(D_a = \frac{V_{max}}{K_L [S_b]}\) represent?

(a) Porosity

(b) Turnover number

(c) Damkohler number

(d) Tortuosity

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Question is from Kinetics of Immobilized Enzymes topic in division Immobilized Enzymes Preparation and Kinetics of Enzyme Technology

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Correct option is (c) Damkohler number

To explain I would say: Damkohler number depends on the rate of the reaction and diffusion rate and is given by,

Da=(maximum rate of reaction)/(maximum rate of diffusion)=\(\frac{V_{max}}{K_L [S_b]}\), where

Vmax = Maximum rate of reaction

KL = Mass transfer coefficient (cm/s)

Sb = Substrate concentration in bulk liquid (g/cm^3)

Damkohler number has a significant effect on diffusional resistance. If the Da >> 1, the diffusion rate is limiting. Whereas if the Da ≪ 1, the reaction rate is limiting. For a = 1, the diffusion and the reaction resistances are comparable.

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