A chemostat with the recycle stream $s_s$ is used to increase cell concentration. Reactor volume$($V$)$ is $1000L,$ inlet flowrate$($F$)$ is $400\frac{L}{h}r,$ and inlet substrate concentration $(S_0)$ is $1000m\frac{g}{L}.$ You want to operate the chemostat at $S=100m\frac{g}{L}.$ Based on the data given, answer the following questions.

${}_m=0\mathrm{.}5h{r}^{-1},K_s=50m\frac{g}{L},C=2$

$Y_{\frac{x}{s}}=0\mathrm{.}6mg\frac{x}{m}gS$

Calculate the flowrate in recycle stream? $($L$/$hr$)$

Calculate the specific growth rate $({}_{\text{n}\text{e}\text{t}})$ in the reactor? $)$

Calculate the cell concentration in the recycle stream? $(m\frac{g}{L})$

Calculate the cell concentration of the exit from cell separator? $(m\frac{g}{L})$