A liquid phase reaction with AB stoichiometry is carried out in a $10\mathrm{.}0$ liter, well$-$mixed, continuous stirred tank reactor, a schematic of the process is shown below: continuous stirred tank reactor, a schematic of the process is shown below:

It can be considered that the reactor mixture is perfect, so that the content is uniform and the concentration of A in the product stream is equal to that inside the tank. Initially the tank is filled with a solution containing $2\mathrm{.}00$ mol A$/$L and then the inlet and outlet flows are initiated.

$-$Write the molar balance for species A and calculateCAS, that is$,$ steady state concentration.

$-$Obtain the expression CA$($t$)$