The growth of baker's yeast $($S$.$ cerevisiae$)$ on glucose may be simply described by the following

equation: C$6$H$1206+302+0\mathrm{.}48$ NH$3->0\mathrm{.}48$ C$6$H$10$NO$3+4\mathrm{.}32$ H$20+3\mathrm{.}12$ CO$2$

In a batch reactor of volume $105$

$1,$ the final desired yeast concentration is $50$ gdw$/$l$.$

Using the above reaction stoichiometry:

a$.$ Determine the concentration and total amount of glucose and $($NH$4)2$SO$4,$ in the nutrient

medium.

b$.$ Determine the yield coefficients Yx$/$s$($biomass$/$glucose$)$ and Yx$/$o$2($biomass$/$oxygen$).$

c$.$ Determine the total amount of oxygen required.

d$.$ If the rate of growth at exponential phase is rx $=0\mathrm{.}7$ gdw$/$l$-$h$,$ determine the rate of oxygen

consumption $($g O$2/1-$h$).$

e$.$ Calculate the heat$-$removal requirements for the reactor