Problem 5: A drainage channel discharges storm water runoff into Santa Monica Bay at a rate of Qe m'ls (which may be assumed to be constant during a very rainy week). The bacterial level in the runoff is Ce 10 counts/100mL (one count is one E. coli bacterium, the indicator species; you can treat these units just like concentration units)·The coastal current flowing from the south has an average velocity of about U = 5 cm/s and a bacterial concentration Ca-50 counts/100mL (because of other storm water discharges located to the south). The cross-sectional area of Santa Monica Bay at the location of the inflow is about A = 2 x 10 m2 (about 50 meters deep and 4000 meters wide). The current leaves Santa Monica Bay by flowing to the north past Malibu. The portion of the Bay between the discharge and where the current leaves the Bay has a volume V = 10° m, and may be considered to be well- mixed. Calculate the concentration of bacteria (Cm) in the flow leaving the Bay taking into the account that the bacteria die off at a rate given by a first order coefficient k 1/day. Assume steady state conditions. [23.6 counts/100 mL] Runoff discharge Malibu (outflow) (inflow) Santa Monica Bay