A tank contains 5000 L of pure water. Brine that contains 30 g of salt per liter of water is pumped into the tank at a rate of 25 L/min. The concentration of salt after t minutes can be s

Question

A tank contains 5000 L of pure water. Brine that contains 30 g of salt per liter of water is pumped into the tank at a rate of 25 L/min. The concentration of salt after t minutes can be shown to be given by:

C(t)= (30t) / (200+t)

What happens to the concentration as t→∞t?

limt→∞ C(t)=_____ g/L

Answer 1

Consider

C(t) = 30 (t / (200 + t))

What is the limit as t →∝?