a liquid$($v$1=100$lit$/$mm$)$ enters a horizontal tubular reactant$(2$ m$2),$ evolves gas, and the gas liquid mixture$($v$1=100$ lit$/$mm$,$ v$2=250$ lit$/$mm$)$ leaves the reactor. thus, only a portion of the reactor contains liquid. to determine this without stopping, a pulse of tracer$(2$ mol$)$ is introduced into the liquid stream at the inlet. the tracer curve for the liquid is as follows

$($a$)$ determine the fraction of the reactor volume occupied by the liquid

$($b$)$ is the above result$($output curve$)$ accurate?

$($c$)$ if a step input of tracer is introduced into the above reactor, determine the output?