Q$2/$ The dynamic response of stirred tank bioreactor can be represented by first order transfer function

Where $\frac{?}{\text{b}\text{a}\text{r}}(C^{\text{'}})$ concentration of exit subtance in deviation variable $(mo\frac{l}{L})$ and $\frac{?}{\text{b}\text{a}\text{r}}(C_f^{\text{'}})$ is concentration of feed substance in deviation variable $(mo\frac{l}{L}).$

$\frac{?}{\text{b}\text{a}\text{r}}(\frac{?}{\text{b}\text{a}\text{r}}(C_f^{\text{'}}))=\frac{2}{4s+2}$

Determine:

The value of gain and time constant, its unit of the gain.

What will the new steady stae value if feed concentration change suddenly by $2mo\frac{l}{L}?$

About how long will it take to reach this new steady state?