The following Dissolved Oxygen $($DO$)$ data is reported from a $5000$L perfusion reactor at a constant oxygen sparge rate. Note that at $100\%$ DO$,$ the solubility of oxygen in media is only $7\mathrm{.}2mg$ O$2/$ L$-$Media.

A$)$ Determine the mass transfer co$-$efficient parameter $(\{$:$k{L}_{L}a)$ in units of $\frac{L}{m}in$ based on the DO profile below taken at the start of the reactor before cell inoculation. Use the tables below to derive your $k{L}_L-a$ in $\frac{L}{m}in.(8$ pts$)$

YOU DO NOT NEED TO FILL OUT ALL OF THE TABLE TO ARRIVE AT YOUR ANSWER

$k_d-a$ in $\frac{L}{m}in=$