Applications of Differential Equations
Concentration of a Brine Solution
Salt is dissolved in a tank filled with 100 gallons of water. Originally 25 lb of salt was dissolved in the tank. Salt water containing 2 lb of salt per gallon is poured in at the rate of 4 gal/min. The solution is well stirred. The mixture is poured out at a rate of 4 gal/min. Find the salt concentration of salt as a function of time Q(t). How much salt remains after 3 hours?
Start by summarizing what is known.