The enzyme catalyzed reaction:

$E+SP+E$

The rate of formation $P$ is observed in the lab as shown in Fig. P$7.12$ with an enzyme loading of $E_0=50$ Units $\frac{?}{L}.$ In an industrial application, it is decided that enzyme loading can be raised to $75$ Units$/$L$.$ This reaction is to be carried out in a fluidized CSTR with an immobilized enzyme system. The volumetric flow rate is $380\frac{L}{h}$ and the feed concentration of the substrate is $60$mmo$\frac{l}{L}.$ Assume that there is no loss of the enzyme to the effluent and the effectiveness factor of the immobilized enzymes is $100\%,$ that is$,$ no impact of immobilization on the enzyme on catalytic activity. Determine the conversion of substrate if the reactor has a working volume of $1000L.$

FIGURE P$7\mathrm{.}12$