A tank contains 4000 liters (L) of a solution consisting of 120 kg of salt dissolved in water. Pure water is pumped into the tank at the rate of 4 L/s, and the mixture-kept uniform by stirring-is pumped out at the same rate. How long will it be until only 6 kg of salt remains in the tank?

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Q: Initially a tank holds 100 gal of a brine solution containing 4 lb of salt. At t = 0, brine…

A: We will find out the required time.

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A: Tank A initially holds 100 gallons of brine that contains 150 pounds of salt.Tank B holds 100…

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A: Solve by making differential equation

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

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Q: A tank with a capacity of 400 gal originally contains 100 gal of water with 200 lb of salt in…

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

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A: Consider, is the Rate of pure water is pumped into the tank is equal to 5 L/s. Formula used,

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A: Ans =38

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A:

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A: The solution of above question is written below.

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A: The answer is 32kg

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Q: A 100L-capacity tank initially holds 80L of fresh water. A brine solution is poured into the tank at…

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A: Solution is given below:

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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.