Natural dissolved organic material $($DOM$)$ concentration in the streams entering a ${210}^5{m}^3$ Upper Klamath Lake averages $7m\frac{g}{L}$; total annual inflow is ${10}^5{m}^3.$ Due to evaporation, annual outflow of liquid water $($via Link River Dam and spillway, and a municipal water intake$)$ is only ${910}^4{m}^3,$ and DOM concentration in the outflow is $6\mathrm{.}5m\frac{g}{L}.$ What is the sink strength for DOM, expressed in mg per cubic meter of water per day? Assume the Upper Klamath Lake is at steady state. $(10$ points$)$