Example $2/$ Fermentation Bioprocess

The production of $1\mathrm{.}8\frac{kg}{h}$ acetic acid using fermentation of

ethanol is described by the following reaction:

$C_2{H}_{5}OH+O_{2}C{H}_3\frac{C}{O}OH+H_{2}O$

The maximum acetic acid concentration tolerated by the cells is

$10\%.$ Air is pumped into the fermentor at a rate of $200mo\frac{l}{h}.$ Calculate

the minimum amount of ethanol required, and the minimum amount

of water that must be used to dilute ethanol to avoid acid inhibition.