A 500 gal capacity tank initially contains 200 gal of water and 5 lbs of salt per gallon. To reduce theconcentration, water at the rate of 3 gal/min enters the tank and the thoroughly mixed solution flows out atthe same rate. After 20 min. the process is stopped and brine solution flows into the tank at the same rate of 3gal/min and at a concentration of 2 Ibs/gal. The mixed solution flows out at the rate of 2 gal/min. Find theamount of salt in the tank 30 min. after resumption of the process.O 560.17 Ib913.68 lb699.79 lbO 717.71 Ib

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Answered: A 500 gal capacity tank initially…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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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.
A tank with a capacity of 400 gal originally contains 150 gal of water with 25 lb of salt in solution.Water containing 2 lb of salt per gallon is entering at a rate of 10 gal/min,and the mixture is allowed to flow out of the tank at a rate of 5 gal/min. Find the amount of salt in the tank after 2 hrs.
There is a large mixing tank that initially holds 120 gallons of brine (water in which salt has been dissolved). Another brine solution is pumped into the tank at a rate of 3 gallons per minute. The tank keeps the mixture well-stirred, and the solution is pumped out of the tank at the same rate of 3 gallons per minute. If the solution being pumped into the tank has a salt concentration of 12 lb/gal, and the tank initially contained 60 lb of salt, find how much salt will be in the tank after 30 minutes. Round to the nearest pound.
A tank initially contains 100 gallons of brine whose salt concentration is 3 lb/gal. Freshwater is poured into the tank at a rate of 3 gal/min, and the well stirred mixture flows out of the tank at the rate of 5 gal/min. Find the amount of salt in the tank after 30minutes.
A large mixing tank currently contains 300 gallons of water, into which 8 pounds of sugar have been mixed. A tap will pouring 20 gallons of water per minute into the tank at the same time sugar is poured into the tank at a rate of 2 pounds per minute. Find the concentration pounds per gallons of sugar in the tank after 10 minutes?
A 150 mg per L solution of drug is administered intravenously at a rate of 30 mL per hr to a patient with constant blood volume equal to 5 L. The drug is metabolized by the patient at a rate of 35 % per hr. Assuming the patient had no drug in their system before receiving treatment, how much is found in their system after 45 minutes?
A tank with a capacity of 400 gal originally contains 150 gal of water with 25 lb of salt in solution.Water containing 2 lb of salt per gallon is entering at a rate of 10 gal/min,and the mixture is allowed to flow out of the tank at a rate of 5 gal/min. Find the amount of salt in the tank at any time prior to the instant when the solution begins to overflow
A container that has 5 L of water with 1 kg salt dissolved is to be filled by pure water at a rate of 0.5 L/min. The mixture is kept homogeneous by stirring and the solution is being pumped out at twice the rate of input. When will the remaining salt in the container be a quarter of its original amount?
A tank contains 100 L of water. A salt solution containing 2 kg of salt per liter flow in at the rate of 3 liters per minute and the well stirred mixture flows out at the same rate. When will the tank have100 kg of salt?
A 500 gal capacity tank initially contains 200 gal of water and 5 lbs of salt per gallon. To reduce the concentration, water at the rate of 3 gal/min enters the tank and the thoroughly mixed solution flows out at the same rate. After 20 min. the process is stopped and brine solution flows into the tank at the same rate of 3 gal/min and at a concentration of 2 lbs/gal. The mixed solution flows out at the rate of 2 gal/min. Find the amount of salt in the tank 30 min. after resumption of the process.
A 100-gallon tank contains 50 gallons of water. Brine, containing 2 lbs of salt per gallon, flows into the tank at the rate of 2 gallons per minute, and the mixture, kept uniform by stirring, runs out at the rate of 1 gallon per minute. approximate the amount of salt in kilogram present when the tank is three-fourths full of brine solution.
A 60 gallon (gal) tank initially contains 45 lb of sugar dissolved in 45 gal of water. Brine containing 1 lb/gal flows into the tank at the rate of 4 gal/min and the well stirred mixture flows out of the tank at the rate 3 gal/ min how much sugar does the tank contain when it is full

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