In an aerobic fermentation process air is continuously sparged to the ferementer. Using the basic mass transfer concept, for transfer of oxygen from the air bubble to the microbe, prove that $\frac{1}{K_1}=\frac{1}{k_1}+\frac{1}{M{k}_g}$

Where $K_l,k_1$ and $k_g$ are mass transfer coefficients of oxygen in liquid and gaseous phases. $M$ is other constant.