In Problem 23, what is the concentration c(t) of the salt in the tank at time t? At t =...

In Problem 23, what is the concentration c(t) of the salt in the tank at time t? At t = 5 min? What is the concentration of the salt in the tank after a long time, that is, as At what time is the concentration of the salt in the tank equal to one-half this limiting value?

Reference: In Problem 23

A large tank is filled to capacity with 500 gallons of pure water. Brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. The wellmixed solution is pumped out at the same rate. Find the number A(t) of pounds of salt in the tank at time t.