Question

Question Help 1.5.45 A shallow reservoir has a one-square-kilometer water surface and an average water depth of 4 meters. Initially it is filled with fresh water, but at timet=0 water contaminated with a liquid pollutant begins flowing into the reservoir at the rate of 500 thousand cubic meters per month. The well-mixed water in the reservoir flows out at the same rate. Your first task is to find the amount x(t) of pollutant (in 40- millions of liters) in the reservoir after t months. The incoming water has a pollutant concentration of c(t) 20 liters per cubic meter (U/m3). Verity that the graph of x(t) resembles the steadily rising curve shown here, which approaches asymptotically the graph of the equilibrium solution x(t) 80 that corresponds to the reservoir's long-term pollutant content. How long does it take the pollutant concentration in the reservoir to reach 16 Um3? 80- 60- 20- 0- 40 x(t)

Answer 1

2011-c?25?] LI-e ?lt) ?106 ut/m3 = (+72 12SH7 million t 4 XI06 ?/m3 2011-e C(E=16) 20C1-e-125t)= 16 .12St S) Jl 2-87 SS month "",""error"":null,""modified"":1560695617,""source"":""automated""}"