A tank contains 200 liters of brine with 20 kg of salt in solution. Brine containing 0.25 kg per liter of salt flows into the tank at the rate of 3 liters/minute, and the mixture, kept uniform by stirring, flows out at the rate of 2 liters/minute. Determine the time when the concentration of salt becomes 0.15kg/liter.

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Q: A 40 gal tank initially contains 11 gal of fresh water. At t = 0, a brine solution containing 1.2 lb…

A: Given: The initial volume of water v(0)=11 gallons The initial amount of salt s(0)=1.2 lb Since rate…

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

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Q: Initially 50 pounds of salt is dissolved in a tank holding 300 gallons of water. A brine solution is…

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Q: a tank initialy holds 80 gal. of a brine solution containing 1/8 lb of salt per gallon. at t=0,…

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Q: A tank contains 100 gal of brine made by dissolving 80 lb of salt in water. Pure water runs into the…

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

Q: A 1,000-liter tank initially contains 200 liters of brine containing 100 kg of salt. Brine…

A: Given that, A 1,000-liter tank initially contains 200 liters of brine containing 100 kg of salt.…

Q: A tank contains 100 liters of brine, with 50 kg total dissolved salt. Saltwater, with a…

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Q: A container that has 5 L of water with 1 kg salt dissolved is to be filled by pure water at a rate…

A: Solve by making differential equation

Q: a 400 gal tank initially contains 100 gal of brine containing 25 lb of salt. Brine containing 2 lb…

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

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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.

Q: A tank contains 45 liters of a chemical solution prepared by dissolving 80 g of a soluble substance…

A: We will find out the required value.

Q: A tank whose volume is 150 L is initially half full of a solution that contains 100 g of chemical. A…

A: Given that, A tank whose volume is 150 L is initially half full of a solution that contains 100 g of…

Q: . A 100 gallon tank is filled with brine containing 60 pounds of dissolved salt. Water runs into the…

A: As this is a multiple question according to the Bartleby Answering rule, only first question is to…

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

A:

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

A:

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

A:

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

A: The initial amount of the sugar in the water is x (0) = 50 kg   The pure water is entering into the…

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

A: A tank contains 200 liters of fluid with 30 gm salt is dissolved.2 gm of salt per liter is pumped…

Q: At 12:00 p.m. a tank contains 150 g of salt dissolved in 8 L of water. Pure water begins flowing…

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

Q: A tank contains 400 liters of brine holding 100 kg of salt in solution. Water containing 125g of…

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Q: A 100 L mixing tank initially contains 50 L of brine solution with 16 g/L concentration. Brine…

A: Let V be the volume of the tank. Thus, Vt=50+4+2-5t       =50tL where, t is the time in minutes.

Q: A tank contains 200 liters of fresh water. Brine containing 2 kilograms per liter of salt enters the…

A:

Q: A tank contains 40 L of solution containing 2g of substance per liter. Salt water containing 3g of…

A: Initially there is 40*2 = 80 grams Let Q be the amount of substance in the tank and dQ/dt be the…

Q: A tank contains 200 gallon of salt water with 150 lbs of dissolved salt. Salt water with 5 lbs of…

A:

Q: If a IV fluid bag is Flowing out of a 1.0 liter bag at the rate of 0.4 cc/min how long will it take…

A: Total volume of fluid flowing out =1.0 litre rate of flowing =0.4 cc/min

Q: A tank initially contains 100 gallons of brine whose salt concentration is 3 lb/gal. Freshwater is…

A: We will make a differential equation for amount of salt and then will solve it to get amount of salt…

Q: A 100 gallon tank is filled with brine containing 60 pounds of dissolved salt. Water runs into the…

A: Form the differential equation of first order and solve to get the answer.

Q: . A tank contains 45 liters of a chemical solution prepared by dissolving 80 g of a soluble…

A:

Q: A tank contains 1000 liters of brine. Brine containing 0.4 kg/liter of salt flows in at 10…

A: Let st= The amount of salt at time t. The brine flows in at the rate 10 liters/minute and flows out…

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…

Q: A tank contains 1000 liters (L) of a solution consisting of 100 kg of salt dissolved in water. Pure…

A: Consider, is the Rate of pure water is pumped into the tank is equal to 5 L/s. Formula used,

Q: A 100-gallon tank contains 5O gallons of water. Brine, containing 2 Ibs of salt per gallon, flows…

A: Ans =38

Q: A tank initially contains 50 gal. of fresh water. Brine (water in which a certain number of pounds…

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Q: A tank contains 400L of fresh water. By mistake, 100kg of salt is poured into the tank instead of…

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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.

Q: We have a mixing tank that contains 100 gallons of water into which 5 pounds of sugar have been…

A: According to question. Initial amount of water in tank= 100gallons Initial amount of sugar = 5 pound

Q: A tank initially contains 200 liters of brine with 20 kg of salt solution. Brine containing 0.25 kg…

A:

Q: Consider a reservoir with a volume of 8 billion cubic feet (ft³) and an initial pollutant…

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Q: A tank initially contains 40 gal of sugar water having a concentration of 3 lb of sugar for each…

A: A tank initially contains 40 gal of sugar water having a concentration of 3 lb of sugar for each…

Q: A 60-gal tank initially contains 10 gal of fresh water. At t = 0, a brine solution containing 1 Ib…

A:

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

A: given: Capacity of tank = 300 gallon Amount of sugar = 8 pounds Rate of pouring of water = 20…