A 600 litre tank initially contains 200 litres of water in which 10 grams of salt are dissolved. Water containing 0.25 grams of salt per litre flows into the tank at a rate 4 litres per minute and the well stirred solution flows out of the tank at a rate of 2 litres per minute. After how many minutes will the tank start overflowing? Find the amount of salt in the tank at the time when the [(a)) • [b)] tank begins to overflow.

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Q: 2. A tank contains initially 400 liters of brine holding 100 kg of salt in solution. Water…

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Q: The population of a bacteria culture grows at a rate of P = 100(2)n, where P is the population and n…

A:

Q: 2. A body at 100°C warms at 120°C after 5 minutes in a surrounding at 30°C. At what time will its…

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A:

Q: A tank contains 1000 liters (L) of a solution consisting of 170 kg of salt dissolved in water. Pure…

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Q: A tank with a capacity of 400 gal originally contains 150 gal of water with 25 lb of salt in…

A:

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

A: 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:

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Q: 2) A tank, which has a capacity of 100 L, is initially half full of a solution that contains 50g of…

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A: Solution and Explanation is given below

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

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Q: Two tanks are connected as in Figure Q2b. Tank 1 initially contains 20 kilograms of salt dissolved…

A: Here we will use differential equation to solve this problem

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Q: A 50 gallons tank initially contains 10 gal of fresh water. At t = 0, a brine solution  containing 1…

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Q: A tank contains 1000 liters (L) of a solution consisting of 195 kg of salt dissolved in water. Pure…

A: Solution is given below:

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Q: A tank with a capacity of 25 L originally contains 15 L of brine with a concentration of 5 g/L of…

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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.