A tank contains 40 lb of salt dissolved in 400 gallons of water. A brine solution...

A tank contains 40 lb of salt dissolved in 400 gallons of water. A brine solution is pumped into the tank at a rate of 4 gal/min; it mixes with the solution there, and then the mixture is pumped out at a rate of 4 gal/min. Determine

A(t),

the amount of salt in the tank at time t, if the concentration of salt in the inflow is variable and given by

c_in(t) = 2 + sin(t/4) lb/gal.

A(t) =

Expert Solution

Colby Messinger answered 2 hours ago

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