A simple, batch fermentation of an aerobic bacterium growing on glycerol gave the results given below.

a$.$ Plot the semi$-$log growth curve and show all the phases on the graph.

b$.$ Does growth of the bacteria follow first order kinetics? Explain.

c$.$ Determine the maximum specific growth rate $({}_{\text{m}\text{a}\text{x}}).$

d$.$ Calculate the culture doubling time $(t_d).$

e$.$ Plot specific growth rate versus substrate concentration and determine the saturation constant $(K_s).$ You can assume that $d\frac{A}{d}t\frac{A}{}t,A$ is a dummy variable.

f$.$ Calculate the specific growth rate at $t=15h.$

g$.$ Evaluate observed biomass yield from substrate $(Y^{\text{'}}{?}^{xs}),$ does it change during the culture?

h$.$ Plot the specific rate of substrate uptake $(q_s)$ versus time. You can assume that $d\frac{A}{d}t\frac{A}{}t,A$ is a dummy variable.

All the plots should be obtained both by hand and Excel. All results should be attached to homework.

All the calculated data should be shown on a table.