Question

A children swimming pool initially contains 500 L of clean water. An inlet water stream containing chlorine at a concentration of 4 mg/L is pumped into the pool at a rate of 12 L/hr. Assuming well-mixed condition, the water is pumped out at the rate of 10 L/hr. Create an equation for the mathematical model of the amount of chlorine in the pool as a function of time. Perform your own research on the acceptable chlorine concentration in a pool of 500 L, use the chlorine concentration that you have selected to identify the time when you need to stop the inlet flow. List down all the assumptions made

Answer 1

Solution:

Given that:

A children swimming pool initially contains 500 L of clean water.

An inlet water stream containing chlorine at a concentration of 4 mg/L is pumped into the pool at a rate of 12 L/hr.