Question

6. Assume that we have a tank filled with 10 gal of polluted water containing 10 lb of dissolved pollutant. We start running polluted water at 1 gal/min rate with constant pollutant concentration 1 lb/gal into the tank. At the same time we start to empty the tank with constant outflow rate 2 gal/min. Assume that we keep the contents thoroughly mixed. For the next 10 minutes give the fluid volume $V(t)$ in the tank as a function of time, the pollutant content of the tank $y(t)$, and the pollutant concentration in the tank $c(t)$. (You need to form and solve an initial value problem to determine some of these functions.)

          6. Assume that we have a tank filled with 10 gal of polluted water containing 10 lb of dissolved pollutant. We start running polluted water at 1 gal/min rate with constant pollutant concentration 1 lb/gal into the tank. At the same time we start to empty the tank with constant outflow rate 2 gal/min. Assume that we keep the contents thoroughly mixed. For the next 10 minutes give the fluid volume $V(t)$ in the tank as a function of time, the pollutant content of the tank $y(t)$, and the pollutant concentration in the tank $c(t)$. (You need to form and solve an initial value problem to determine some of these functions.)

6. Assume that we have a tank filled with 10 gal of polluted water containing 10 lb of dissolved pollutant. We start running polluted water at 1 gal/min rate with constant pollutant concentration 1 lb/gal into the tank. At the same time we start to empty the tank with constant outflow rate 2 gal/min. Assume that we keep the contents thoroughly mixed. For the next 10 minutes give the fluid volume V(t) in the tank as a function of time, the pollutant content of the tank y(t), and the pollutant concentration in the tank c(t). (You need to form and solve an initial value problem to determine some of these functions.)

Added by Miriam H.

Question

Please give Ace some feedback