- #1

Dluna08

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**A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t=0, another brine solution containing 1 lb of salt per gallon is poured into the tank at the rate of 4 gal/min, while the well stirred mixture leaves the tank at the rate of 8 gal/min. a) set-up the DE to find an expression for the amount of salt in the tank after t min. b) find the amount of salt in the tank when the tank contains 40 gallons of solution**

## Homework Equations

when i set up my DE i end up with dQ/dt + 1/10Q = 4. I notice that this equation is linear with p(t) = 1/10. So I solve and get Q= 40 + ce^-t/10. I don't know how to find the amount of salt in the tank when the tank contains 40 gallons of solution??