Problem $1$: In the chemical liquid storage process given below, the transfer function between the liquid level H and the volumetric liquid flow rate Q

$\frac{H^{\text{'}}(s)}{Q^{\text{'}}(s)}=-\frac{100}{20s+1}$

The chemical liquid height is in cm$,$ the output flow is in liters per minute, and q is the flow rate constant.

a$)$ What is the gain of the process? What is its unit? In your answer, explain why the gain value is significant.