Math just for fun. I start with the problem and publish answer later, so you can try to solve it.

Most of the questions I will post are problems that services such as Wolfram Alpha can't understand or will offer wrong answer.

Diameter of the circle shaped pool is 30m and height 3m. Water in the pool contains mercury and the concentration is 0.2µg/l. Contaminated water is pumped off 1000l/hour and it's replaced with the clean water in same rate. Let's also make an assumption that mercury is evenly mixed with the water.

a) Create a differential equation for the amount of mercury x(t) (µg) function of the t (h) and solve.

b) How long it takes to concentration of the mercury to go under 0.07µg/l?

Most of the questions I will post are problems that services such as Wolfram Alpha can't understand or will offer wrong answer.

**Problem 1.**Diameter of the circle shaped pool is 30m and height 3m. Water in the pool contains mercury and the concentration is 0.2µg/l. Contaminated water is pumped off 1000l/hour and it's replaced with the clean water in same rate. Let's also make an assumption that mercury is evenly mixed with the water.

a) Create a differential equation for the amount of mercury x(t) (µg) function of the t (h) and solve.

b) How long it takes to concentration of the mercury to go under 0.07µg/l?

Last edited: