How do you determine what percentage of chlorine is in the pool after 1 hour if a pool whose volume is 10000 gallons contains water the is 0.01%chlorine and starting at t=0 city water containing .001% chlorine is pumped into the pool at a rate of 5 gal/min while the pool water flows out at the same rate?
1 Answer
May 22, 2018
The concentration will be:
#approx 0.009 "%"#
Explanation:
Volume flow rate for the pool:
#dot V = dot V_("in") - dot V_("out") = 0#
Mass flow rate, with the idea that:
#"mass" = "concentration" times "Volume"# :
[Where
This is now just a separable DE, with IV:
#c(0) = 0.01 "%"#
After 1 hour:
ie