A mixer containing 100 gal of Na,SO, solution (4 lbs of Na2SO4 per gal) is attached to a reservoir containing a solution of 1 lb of Na,SO4/gal. If the solution is pumped from the reservoir at the rate of 5 gal/min and the mixed solution runs out of the mixer at the rate of 5 gal/min, how long will it take to reduce the concentration of salt in the tank to 1/2 its original value?

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.