Here is the problem:
A swimming pool whose volume is 10,000 gal contains water that is 0.01% chlorine. Starting at t=0 city water containing 0.001% chlorine is pumped into the pool at a rate of 5gal/min. The pool water flows out at the same rate. What is the percentage of chlorine in the pool after 1hr? When will the pool water be .002% chlorine?
I completely understand all the possible solution techniques. The problem is that I'm assuming the chlorine is measured in mg/L because that's what is normally used in chemistry.
If I don't convert chlorine I get dx/dt=.00005(mg*gal/L)-x(t)/2000(gal/min)
this is easy to solve but I keep getting the wrong answer.
If I convert I end up with dx/dt=.000006613-x(t)2000 (gal/min)
which still gives me wrong answer.
Can someone please tell me where I'm going wrong!
A swimming pool whose volume is 10,000 gal contains water that is 0.01% chlorine. Starting at t=0 city water containing 0.001% chlorine is pumped into the pool at a rate of 5gal/min. The pool water flows out at the same rate. What is the percentage of chlorine in the pool after 1hr? When will the pool water be .002% chlorine?
I completely understand all the possible solution techniques. The problem is that I'm assuming the chlorine is measured in mg/L because that's what is normally used in chemistry.
If I don't convert chlorine I get dx/dt=.00005(mg*gal/L)-x(t)/2000(gal/min)
this is easy to solve but I keep getting the wrong answer.
If I convert I end up with dx/dt=.000006613-x(t)2000 (gal/min)
which still gives me wrong answer.
Can someone please tell me where I'm going wrong!