4. A brine solution of salt flows at a constant rate of 4 L/mininto a large tank that initially held 100 L of pure water.The solution inside the tank is kept well stirred and flowsout of the tank at a rate of 3 L/min. If the concentrationof salt in the brine entering the tank is 0.2 kg/L, deter-mine the mass of salt in the tank after t min. When willthe concentration of salt in the tank reach 0.1 kg/L?

given,brine solution of salt flows at a constant rate of the tank initially had of pure…

Answered: A brine solution of salt flows at a…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...

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The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?
A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?
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A brine solution of salt flows at a constant rate of 6 L/min into a large tank that initially held 100 L of brine solution in which was dissolved 0.1 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate. If the concentration of salt in the brine entering the tank is 0.02 kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach 0.01 kg/L?
A brine solution of salt flows at a constant rate of 9 L/min into a large tank that initially held 100 L of brine solution in which was dissolved 0.2 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate. If the concentration of salt in the brine entering the tank is 0.02 kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach 0.01 kg/L? Determine the mass of salt in the tank after t min. mass= =kg
3. A tank contains 80 gals. of pure water. A brine solution with 2 lbs/gal of salt enters at 2 gals/min, and the well-stirred mixture leaves at the same rate. Find (a) the amount of salt in the tank at any time O a. 80 Ibs O b. 41.3 lbs c. 23 Ibs O d. 27.73 lbs
2. 1500-gallon tank initially contains 2271.2472 L of water with 2.267962 kg of salt dissolved in it. Water enters the tank at a rate of 9 gal/hr. and the water entering the tank has a salt concentration of 0.5(1 + cost) lbs/gal. If a well mixed solution leaves the tank at a rate of 6 gal/hr., how much salt is in the tank when it overflows?

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