A 50-gal barrel is filled completely with pure water. Saltwater with a concentration of 0.3 Ib/ga then pumped into the barrel, and the resulting mixture overflows at the same rate. The amoun salt in the barrel at time t is given by Q (t) = 15 (1 – e-0.041 ) where t is measured in minutes

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Q: A tank contains 200 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

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Q: A tank initially holds 10 gal of fresh water. at t=0, a brine solution containing 1/2 lb of salt per…

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Q: A tank contains 210 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

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Q: Two tanks are connected in tandem as shown in the following figure. Each tank contains 60 gal of…

A: (a) What is the initial amount of salt (in lb) in tank 2? At t = 0 A(0) = 180(1 − e−0/30) −…

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.