$K_m=K\left(1+\frac{m}{N}\right)$

$\Rightarrow K_m=K\left(1+\frac{x}{d}\right)$

$C^{\prime}=\frac{K_m A \in_0}{d x}$

$\frac{1}{C_{e q}}=\int_0^d \frac{d x}{K_m A \in_0}=\frac{1}{K A \in_0} \int_0^d \frac{d x}{\left(1+\frac{x}{d}\right)}$

$\Rightarrow \frac{1}{C_{e q}}=\frac{d}{K A \in_0}\left[\ln \left(1+\frac{x}{d}\right)\right]_0^d$

$\Rightarrow \frac{1}{ C _{ eq }}=\frac{ d }{ KA \in_0}[\ln 2-\ell n (1)]$

$\Rightarrow C _{ eq }=\frac{ KA \in_0}{ d \ell n 2} \Rightarrow \alpha=1$