You are operating the fed$-$batch reactor for In Class $8$ to create a starter culture to manufacture Swiss cheese using

Lactobacillus casi. Your client is becoming impatient; they want more cheese, now! You decide to shift to exponential

feed.

Using the same growth parameters as In Class $8$: $Y_{\frac{x}{S}}=0\mathrm{.}23gx(gS{)}^{-1},K_S=0\mathrm{.}15\frac{g}{L},max=0\mathrm{.}7h^{-1},k_d=0\mathrm{.}03h^{-1}$ :

a$.$ If the initial culture volume was $1000L^{**},$ what is the volume after $2\mathrm{.}3$ hours, in $L,$ if you choose an exponent $($power$)$

equal to the maximum growth rate? Assume that you start from the original feed flow of $4000\frac{L}{h}$ and are under

isothermal conditions.

b$.$ Under the same conditions as above, what is the specific growth rate after $1\mathrm{.}2$ hours?

c$.$ What is the cell doubling time after $1\mathrm{.}9$ hours in hours?