Application of Differential Equation(mixing problem): A tank initially contains 100 L of a well-mixed water-and-salt solution, with salt concentration of 20 kg in the solution. If the solution is exiting from the tank at a constant rate of 2 L per minute, what is the concentration of the salt (kilograms) in the solution at the point when the tank now only contains 50 L of the solution?

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Q: A tank contains 200 gallons of water in which 50 pounds of salt are dissolved. A brine solution…

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A: Topic = differential equation

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Q: 5. A 400 gallon tank initially contains 100 gallons of fluid in which 50 pounds of salt is…

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Q: 13.) A large tank initially contains 1 kilogram (1000 grams) of salt dissolved in 100 liters of…

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Q: ) A tank contains 200 gallons of water in which 50 pounds of salt are dissolved. A brine solution…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: mixing tank contains 80 gallons of purewater solution. When the mixing system is turned on, a…

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Q: A tank contains 350 liters of fluid in which 45 grams of salt are dissolved. Brine containing 5…

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A: The detailed solution of the problem follow the next steps.

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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.