Fermenters typically contain a mixture of sugary mixed juice microorganisms and certain nutrients that the latter require. Zymomonas mobilis is a bacteria specialized in the conversion of glucose into ethanol and CO$2.$ There are $50$ m$3$ of sugary broth in the saccharification of corn starch per hour. The concentration of the broth is $88$ g of glucose per liter. The continuous fermenter operates with a glucose conversion rate of $3\mathrm{.}7$ g glucose$/$liter $*$ hr$.$ Zymomonas mobilis operates very well with glucose concentrations of $225$ g$/$liter$,$ the glucose conversion efficiency is $92\%.$ What is the residence time in the fermenter in hours?