Question

7.2.6 A swimming pool has a volume of 50 m. A mass C (in kg) of chlorine is dissolved in the pool water. Starting at a time 0, water containing a con- centration of 0.1 C/V chlorine is pumped into the swimming pool at a rate of 0.02 m3/min, and the water flows out at the same rate. a) Present the differential equation for the chlorine mass O). b) Find the solution O(t) to this equation. c) What is the amount of the chlorine mas Q) after 2 hours? d) At which time is the chlorine mass in the pool 50% of the initial mass?

Answer 1

dCg dt 2 节凸 -10-1で (X) t- 匕. 1 CIe

lowie mors le+ at time t n chlonive man awil be -チ