Problem $2(5$ pts$)$: Environmental engineers and scientists are concerned about a non$-$reactive compound X in

the environment. A well$-$mixed lake is fed by three rivers. The flows and corresponding concentration of X in

each river are, respectively, $1\mathrm{.}4\frac{m^3}{s}$ and $0\mathrm{.}7m\frac{g}{L}$ in River A$,0\mathrm{.}9\frac{m^3}{s}$ and $1\mathrm{.}5m\frac{g}{L}$ in River B$,$ and $0\mathrm{.}7\frac{m^3}{s}$

and $2\mathrm{.}0m\frac{g}{L}$ in River C$.$ The lake has a constant volume of $16,000m^3$ and is drained by River D $.$

a$)$ What is the concentration of $x$ in the river draining the lake $($at the lake exit point$)$ at steady state? $(5$pts$)$Environmental engineers and scientists are concerned about a non$-$reactive compound X in

the environment. A well$-$mixed lake is fed by three rivers. The flows and corresponding concentration of X in

each river are, respectively, $1\mathrm{.}4$ m$3/$s and $0\mathrm{.}7$ mg$/$L in River A$,0\mathrm{.}9$ m$3/$s and $1\mathrm{.}5$ mg$/$L in River B$,$ and $0\mathrm{.}7$ m$3/$s

and $2\mathrm{.}0$ mg$/$L in River C$.$ The lake has a constant volume of $16,000$ m$3$ and is drained by River D$.$

a$)$ What is the concentration of X in the river draining the lake $($at the lake exit point$)$ at steady state? $(5$pts$)$