We have a hot tub that contains 450 gallons of water. We added too much chlorine and want to add water from our hose to dilute the chlorine. Initially the concentration of chlorine is 10 mg/L. The water in the hose contains a concentration of chlorine equal to 0.5 mg/L. We allow water to drain out of the bottom while we add the water to maintain a constant height of water. The water leaves the hose at 1 gallon per minute. a. Write a material balance on the chlorine in the hot tub.
b. What is the concentration of the chlorine at steady-state? (when time is at infinity)
c. What is the concentration of chlorine after 100 minutes? 1000 minutes?
d. Graph the concentration of chlorine as a function of time.
e. When will the concentration of chlorine be equal to 1.5 mg/L? 0.6 mg/L?