Salty Overflow A 600-gaJlon tank is filled with 300 gal of pure water. A spigot is opened and a sa1t solution containing I lb of sa1t per gallon of solution begins flowing into the tank at a rate of 3 gal/min. Simultaneously. a drain is opened at the bottom of the tank a1lowing the solution to leave the tank at a rate of I gal/min. What will be the salt content in the tank at the precise moment that the volume of solution in the tank reaches the tank's capacity of 600 ga1?

Q: Atank originally contains 100 gal of fresh water. Then water containing, Ib of salt per gallon is…

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Q: In a tank 100 liters of brine containing 50.0 kg total of dissolved salt. Pure water is allowed to…

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Q: ; Farmer Joe's field has a silt loam soil with an initial water content of 0.15 cm/cm'. After flood…

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Q: A brine solution of salt flows at a constant rate of 9 L/min into a large tank that initially held…

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Q: In the tank of 100 liters of brine containing 50kg totally dissolved salt. Pure water is allowed to…

A: Let y(t) be the amount of salt dissolved in the tank in kilograms after t minutes. Initially amount…

Q: A tank initially have 200 L of water with 80 grams of dissolved salt. Pure water enters at a rate of…

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Q: 2. A large tank is partially filled with 100 gallons of fluid in which 10 pounds of salt is…

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Q: A tank contains 20 gallons of solution, with 10 pounds of chemical z in the solution. At a certain…

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Q: 10. A tank contains a brine solution. Fresh water enters the tank at a rate of 5 gal/min while the…

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Q: A large tank is partially filled with 100 gallons of fluid in which 10 pounds of salt is dissolved.…

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Q: A brine solution of salt flows at a constant rate of 9 L/min into a large tank that initially held…

A: Let amount of salt in solution is x at any time t. Given information Initially, volume of solution…

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Q: A tank initially holds 50 gal of a brine solution containing 2 Ib of salt. At t = 0 another brine…

A: Given data:- Volume of brine solution, Vo=50 gal Containing salt, a=2 At t=0 any Brine solution…

Q: A tank contains 90 kg of salt and 1000 L of water. A solution of a concentration 0.045 kg of salt…

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Q: 2. A tank initially holds 70 gal of a brine solution containing 2 pounds of salt per gallon. Att =…

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Q: A brine solution of salt flows at a constant rate of 4 L/min into a large tank that initially held…

A: Given: In flow=4 L/min, Volume of tank=100L of water, Out flow=3 L/min and the concentration of salt…

Q: A tank contains 100 gal of fresh water. A solution containing 1 lb/gal of soluble lawn fertilizer…

A: Given that, A tank contains 100 gal of fresh water. A solution containing 1 lb/gal of soluble lawn…

Q: I need help about solving this problem. a) How do I find the time required to reach the maximum…

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Q: A tank contains 150 gal of fresh water. A solution containing 5 lb/gal of soluble lawn fertilizer…

A: answer is in next step . please give a like!!

Q: A 1000 gallon tank initially has 800 gallons of water with 2 ounces of population dissolved in it.…

A: Please check step 2 for the solution.

Q: A brine solution of salt flows at a constant rate of 6 L/min into a large tank that initially held…

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Q: A tank initially holds 50 gal of a brine solution containing 2 Ib of salt. Att = 0 another brine…

A: Form the first order differential equation and solve to get the amount of salt in the tank at any…

Q: A brine solution of salt flows at a constant rate of 5 L/min into a large tank that initially held…

A: A tank contains 100L solution in which 0.3 kg of salt was dissolved.  Let, x(t) be the mass of the…

Q: A tank contains 100 gal of salt solution consisting of 1 lb/gal. A solution containing 2 lb/gal salt…

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Q: A tank initially contains 200 liters of pure water. Brine containing 2 kg per liter enters the tank…

A: 1st we will make differential equation and then solve it to find amount of salt

Q: In a tank are 100 liters of brine containing 50 kg total dissolved salt. Pure water is allowed to…

A: Solution : We have given that in a tank of 100 liters of brine containing 50 kg total dissolved…

Q: A large tank contains 100 gallons of brine in which 10 lbs. of salt is dissolved. containing 0.2…

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Q: A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At 1:0,…

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Q: A brine solution of salt flows at a constant rate of 8 L/min into a large tank that initially held…

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Q: A brine solution of salt flows at a constant rate of 8 L/min into a large tank that initially held…

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Q: 2. Beer containing 6% alcohol per gallon is pumped into a vat which initially contains 400 gallons…

A: since nothing is mentioned in the question so lets calculate the number of gallons of alcohol A(t)…

Q: A tank contains 350 liters of fluid in which 20 grams of salt is dissolved. Pure water is then…

A: It is given that a tank contains 350 liters of fluid which contains 20 grams of dissolved salt. Then…

Q: A brine solution of salt flows at a constant rate of 7 L/min into a large tank that initially held…

A: Let x(t) be the mass of salt in the tank at the time t.xi(t) be the amount of solution coming in to…

Q: A tank initially contains 50 gal of sugar water having a concentration of 2 lb of sugar for each gal…

A: Given:   A tank initially contains 50 gal of sugar water having a concentration of 2 lb of sugar for…

Q: 3. A container with 300 gal of alcoholic beverages contains 3% alcohol (by volume). Beer with 8% is…

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Q: Brine containing 3 lbs per gal of salt enters a large tank at the rate of 2 gal/min and the mixture…

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Q: 4. A tank contains 150 gal of brine made by dissolving 60 pounds of salt in water. Salt water…

A: Given:       Initially there are 150 gal in the tank.   There are 60 pounds of salt in water.   The…

Q: A 650 litre tank initially contains 150 litres of water in which 15 grams of salt are dissolved.…

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Q: A tank initially have 100 L with 50 g of dissolved salt. brine is pumped into the tank at a rate of…

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Q: A tank is utilized for mixing sugar solutions which can initially contain 80 gallons of water. A…

A: To find: Amount of sugar in the tank after 10 minutes

Q: A tank holds 300 gal of brine solution with 50 pounds of dissolved salt. A brine solution containing…

A: We know that ∵dAdt=Rin-Rout ....(i) So, let's find Rin and Rout ∵ Rin= (concentration of salt in…

Q: A tank contains 100 kg of salt and 1000 L of water. Pure water enters a tank at the rate 12 L/min.…

A: First we draw the diagram then solve this problem.

Q: A tank initially contans 100 gallons of brine whose concentration is b/qal. Brine whose salt con-…

A: Given: A tank initially contains 100 gallons of brine whose concentration is 12 lb/gal. Brine, whose…

Q: A tank initially contains 100 gal of water in which is dissolved 2 lb of salt. The salt-water…

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Q: A tank contains 150 gal of brine made by dissolving 60 pounds of salt in water. Salt water…

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Q: A brine solution of salt flows at a constant rate of 8 L/min into a large tank that initially held…

A:

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.