Question: Apply scaling analysis for gas absorption with first-order reaction based on the film model. Derive a relation for the depth of penetration of the gas

Apply scaling analysis for gas absorption with first-order reaction based on the film model. Derive a relation for the depth of penetration of the gas for a fast reaction. Using this relation, verify the following model prediction:

\[R_{\mathrm{A}}=C_{\mathrm{A}, \mathrm{s}} \sqrt{D_{\mathrm{A}} k_{1}}\]

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