Question

A brine solution of salt flows at a constant rate of 4L/min into a large tank that initially held 100L of pure water. The solution inside the tank is kept well-stirred and flows out of the tank at a rate of 3L/min. If the concentration of salt in the brine entering the tank is 0.2Kg/L, determine the mass of the salt in the tank after t minutes. When will the concentration of salt in the tank reach 01.kg/L?

Answer 1

Answer:

To reach 01.kg/L concentration of salt in the tank will take around 18.9 min

Explanation:

Attached

Answer 2

Answer:

a) The mass of the salt in the tank after t minutes is:

$Q(t)=0.2x(100+t)-\frac{2x10^{7} }{(100+t)^{3} }$

b) In 484.8 min the concentration of salt in the tank reach 0.1 kg/L

Explanation:

please look at the solution in the attached Word document