Consider a single stage mixed tank system. Assume no heating$/$heat losses and $q_1=q_2.$

The composition of a component is expressed as $x.$ Initial conditions is given as:

$x_2(t=0)=x_1^0.$ And $x_1(t0)=x_1^{\text{'}}$ which is constant.

Obtain an expression for the $x_2(t)($Outlet composition as a function of time$)$ in terms

of $V,q,x_1^0{x}_1^{\text{'}}$ and time.