A tank with a capacity of 25 L originally contains 15 L of brine with a concentration of 5 g/L of salt. Water containing 1 g/L of salt is entering at a rate of 5 L/min, and the mixture is allowed to flow out of the tank at a rate of 4 L/min. Find the concentration (in g/L) of salt in the tank when it is on the point of overflowing.

Q: A 250 mg per L solution of drug is adminstered intravenously at a rate of 50 ml. per hr to a patient…

A: 1st we will make differential equation for amount of drug in the body and then solve it to get exact…

Q: A container initially contains 15 L of water in which there is 30 g of salt dissolved. A solution…

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Q: Consider a tank with volume 100 liters containing a salt solution. Suppose a solution with 2…

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Q: A tank that can hold 500 gal. originally contains 200 gal. of water with 100 Ibs. of salt in…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: A tank initially contains 200 L of fresh water. Brine containing 2.5 N/L of dissolved salt runs into…

A: Let "s" represents the quantity of salt in the tank. dSdt=(8×2.5)-8S200dSdt+0.04S=20   and S(0)=0…

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.

Q: A tank with a capacity of 5000 kg of water is initially half full. Twenty kilogram per minute is…

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

Q: If 10 pounds of salts is dissolved in a large tank in partially filled with 100 gallons of fluid.…

A: Given :   10 pounds of salts is dissolved in a large tank in partially filled with 100 gallons of…

Q: Initially a tank holds 100 gal of a brine solution containing 4 lb of salt. At t = 0, brine…

A: We will find out the required time.

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 400-gal tank initially contains 100 gal of brine containing 50 lb of salt. Brine containing 1 lb…

A: Schematic diagram of the given situation:…

Q: A tank contains 2,000 L of brine. Brine containing 5 kg/L of salt flows in at 10 L/min, and the…

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Q: A 100-gallon tank contains 50 gallons of water. Brine, containing 2 lbs of salt per gallon, flows…

A: Given that, A 100-gallon tank contains 50 gallons of water. Brine, containing 2 lbs of salt per…

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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 200g-tank holds 100 gallons of fresh water upon first. At t = 0, a 5 gal/min salt solution…

A: Given initial quantity of freshwater in the 200-gallon tank = 100 gallons At t=0, salt solution is…

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…

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A: The time taken by worker A to load the truck is = 10 min  The time taken by the worker B to unload…

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

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Q: A large tank initially contains 50 liters of brine in which there is dissolved 5 grams of salt.…

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Q: A tank contains 1,000 gal of brine in which 500 lb of salt are dissolved. Fresh water runs into the…

A: Form the first order differential equation and solve using separation of variables.

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 50-gal tank initially contains 10 gal of fresh water. At t = 0, a brine solution containing 1lb of…

A: Given that a 50 gal tank initially contains 10 gals of fresh water.

Q: If 150 g of copper at initial temperature of 50 °C gains 6930 J of heat when it is cooled to 170°C.…

A:

Q: A tank contains 80 gallons of pure water. A brine solution with 2lb/gal of salt enters at 2 gal/min,…

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

Q: A 450 gal tank initially contains 110 gal of brine containing 52 Ib of salt. Brine containing 1lb of…

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

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Q: Two large tanks, each holding 24 liters of a brine solution, are interconnected by pipes as shown in…

A: Let x(t) and y(t) be the mass of salt in tanks T1 and T2 respectively. Fresh water follows into tank…

Q: Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing…

A: Let at any instant t, the weight od salt in tank A is 2 and tank B is y. By using the given…

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 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 300 gallon tank initially contains 90 gallons of brine containing 400 Ibs. of salt. Brine…

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

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: vulcanizing shop has a trapezoidal drum that is 5 meters long, 1.5 meter wide at the top, 1 meter…

A: Solution of the problem as follows

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

A: Question is solved.

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

A:

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

A:

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: A tank has a total capacity of 100 L, but initially it contains 15 L of pure water. Water flows into…

A: Given :- The total capacity of tank = 100 L Initially amount of fresh water in a tank = 15 L Saline…

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 150 mg per L solution of drug is administered intravenously at a rate of 30 mL per hr to a patient…

A: Given that: A 150 mg per L solution of drug is administered intravenously at a rate of 30 mL per hr…

Q: In a room containing of air 20,000 m3 of air, 600 m3 of fresh air flows in per minute, and the…

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…