A tank contains 60 kg of salt and 1000 L of water. Pure water enters a tank at the rate 8 L/min. The solution is mixed and drains from the tank at the rate 4 L/min (b) Find the amount of salt in the tank after 4.5 hours.

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A: Solution : We have given that a tank contains 968 L of brine with 15kg of dissolved salt. Pure…

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A: Many real-life problems can be modeled using differential equations. This is one of the significant…

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A: The amount of salt remaining after 5 minutes is 45.24 lb. And the calculation is uploaded below

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A: We will find out the required value.

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Q: recharge

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Q: A container contains 80 liters of pure water. A brine solution with 2 kg/L of salt enter at 2 L/min,…

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A: This question is based on application of diffrential equation.

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A: This question can be solved using the concept of differential equation.

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A: 1 hour is equal to 60 minutes.

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Q: A tank contains 40 liters of a chemical solution prepared by dissolving 80 g of a soluble substance…

A: Given that, A tank contains 40 liters of a chemical solution prepared by dissolving 80 g of a…

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Q: A tank contains 400 gallons of fluid in which 50 lb. of salt is dissolved. Brine containing 2 Ib/gal…

A: Given that : A tank contains 400 gallons of fluid in which 50 lb of salt is dissolved.

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A: We convert this problem into a differential equation then solve the differentials equation.

Q: · A tank contains 968 L of brine with 15kg of dissolved salt. Pure water enters the tank at a rate…

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Q: A partially filled tank with 100 gallons of water in which there are 10 pounds of dissolved salt. a…

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Q: A container holds 200 gallons of brine solution containing 50 lb of salt. Initially , fresh water is…

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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.