A tank has a total capacity of 100 L, but initially it contains 15 L of pure water. Water flows into the tank 8 L per minute and contains 2 kg of salt. The solution in the tank is being mixed well. If the well-mixed solution in the tank exits 7 L per minute, determine the amount of salt (kilograms) in the solution just before the tank overflows.

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A: SOLUTION-

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A: Initial Amount of drug present in blood stream = 300g  Concentration of drug depletes per minute =…

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A: The basic operating weight of the aircraft is 1340 lbs and its maximum allowablegross weight is 2300…

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A:

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Q: A 1500 gallon tank initially contains 600 gallons of water with 5 lbs of salt dissolved in it. Water…

A: This question is related to differetial equations, we will solve it using given information.

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A: Given: A tank contains 60 kg of salt and 1000 kg of water.

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A: Given that the capacity of the tank is 5000 kg. Let Q be the quantity of water in the tank after t…

Q: 4) Sandy has recently begun kickboxing and purchased training equipment as modeled in the diagram…

A: To find the total weight of the training equipment

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A: Schematic diagram of the given situation:…

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A: Solve by making differential equation

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A: A real-life scenario can be described mathematically through a differential equation. By solving the…

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Q: There is a large mixing tank that initially holds 120 gallons of brine (water in which salt has been…

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Q: A tank has 72 gallons of water. Brine solution with 2lbs of salt per gallon of solution enters at a…

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

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A:

Q: A Styrofoam cooler contains ice at 0° C. The cooler is left outside where the temperature is 30.° C.…

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Q: A tank with capacity of 2000 litre originally contains 50 kg of sugar dissolved in pure water. Pure…

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A: Given, reagent =75mL Mixture = 4x75 =300mL

Q: A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 2 grams…

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A: Pressure P = 202 kPa Surface area A = 1.50 m2

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

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A: Solution:-  Density:- Density of any material is the mass per unit Volume of the substance.…

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A: Given the tank contains 90 gallons of brine containing 400 lbs of salt.  The above figure shows the…

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Q: Suppose a total of 15 ounces of medicine is added to the original mixture (so that the total volume…

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Q: A 6-quart cooling system is checked and found to be filled with a solution that is 40% antifreeze.…

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Q: 600 gallon brine tank is to be cleared by piping in pure water at 1 gal/min. , and allowing the…

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Q: A process tank is being filled at a rate of 1200 GPM. If the tank is completely full, how much is…

A: In flow rate is 1200 GPM. Out flow rate is 320 GPM.

Q: Assume that you are attending a patient receiving intravenous medication. The doctor orders 24 mls…

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Q: A large mixing tank currently contains 300 gallons of water, into which 8 pounds of sugar have been…

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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.