Problem $9$

The concentration of an organic pollutant in a lake water is $30ppb.$ The half$-$life of the pollutant in the fish is $10$ days and the $lo{g}_{10}(K_{ow})$ value is $5\mathrm{.}5.$

$(1)$ What is the steady state concentration of pollutant in the fish in ppm$?$ Keep three significant figures in the answer. $(5$ Points$)$

$(2)$ If an uncontaminated fish is introduced into the lake. How long would it take for the pollutant concentration in the fish to reach $250ppm?$ Keep three significant figures in the answer. $(5$ Points$)$