A tank initially contains 100 gallons of brine whose salt concentration is 3 lb/gal. Freshwater is poured into the tank at a rate of 3 gal/min, and the well stirred mixture flows out of the tank at the rate of 5 gal/min. Find the amount of salt in the tank after 30minutes.

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A: Schematic diagram of the given situation:…

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A: here we can use differential equation to solve this question.

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Q: The side of a cube decreases at a rate of 9 m/sec Find the rate at which the volume changes, when…

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Q: A tank contains 100 gallons of pure water. A brine solution with 2 Ib/gal of salt enters at 3…

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Q: A tank contains 80 gallons of pure water. A brine solution with 2lb/gal of salt enters at 2 gal/min,…

A: Given: r1=2 galsmin., r2=2 galsmin.,  c1=2 lbsgal,, v0=80 gallons, x0=0

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A: First you have to develop the differential equations and put the value of time and get the answer.

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A: AS PER BARTLEBY GUIDELINES, EXPERTS ARE ALLOWED TO SOLVE ONLY ONE QUESTION WHEN MULTIPLE QUESTIONS…

Q: A spherical drop of liquid evaporates at a rate proportional to tis surface area. If a given drop…

A: Given: The drop evaporates to 18 of its volume in 5 minutes

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A: Form the differential equation of first order and solve to get the answer.

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Q: A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 1 gram…

A: Question is solved.

Q: The side of a cube is increasing at a rate 9m/s, then the rate at which the volume of the cube…

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A: Differentiate volume of cube wrt t

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A: The answer is 32kg

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