Question

A swimming pool whose volume is 10,000 gal contains water that is 0.01% chlorine. Starting at 10. city water containing 0.001% chlorine is pumped into the pool at a rate of 6 gal/min. The pool water flows out at the same rate. What is the percentage of chlorine in the pool after 1 hour? When will the pool water be 0.002% chlorine? What is the percentage of chlonne in the pool after 1 hour? After 1 hour the pool will be % chlorine. (Round to four decimal places as needed.)

this second picture is of the same problem with diffrent numbers but it has the answers. hopefully it helps. thank you

Answer 1

let at time t, nbe the amount of chlorine. on = Cholorine enters in the tank - chlorine at goes out from the tank. = 0.001 4 - 0 = 10000 (x - 0:1) 1-01 10000 : de - - Moodt Integrating, we get ln (1-O.1) = 10000t – toge toge is an integrating 1-0.1 = ce cocoot constant. at, to u = 0.01 x 10000 = 1 uc=0.9. 00 10000 n = 0.1 +0.9 € Now, at, x=60, n = 0.97897 i.e. 0.9787 X 100 - 10000 7. = 0.009787 1. (Aus) Now, when, chlorine is 0.002.1. ic n= 0.002 100X10000 = 0.2 then, 0.2 = 0.1 tone 1000 on t - 5493.06 mintiter ie 91.55 hours : Arter 91.55 hours the poll water will be 0.002%.