Consider a large tank holding 1000 L ofpure water into which a brine solution ofsalt begins to flow at a constant rate of 6L/min. The solution inside the tank is keptwell stirred and is flowing out of the tank ata rate of 6 L/min. The concentration of saltin the brine entering the tank is 1 kg/La. Determine when the concentration of saltin the tank will reach 0.05 kg/Lb. The limiting concentration of the salt inthe tank.

Answered: Consider a large tank holding 1000 L of…

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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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?
0.5 kg/L Pollutant Pure Water 15 L/min 5 L/min 1000 L 15 L/min 1000 L Pure Water with 5 kg pollutant Tank A Tank B 20 L/min For the figure shown, consider the following: • Two tanks are connected by a pipe with flow rate of 15L/min. • Tank A and Tank B each contains 1000L volume of liquid. • A pollutant with concentration of 0.5kg/L is discharged to Tank A at a rate of 15L/min, while pure water is discharged to Tank B at a rate of 5L/min. • There is an outflow of 20L/min from Tank B. • Initially, the amount of the pollutant in Tank A and in Tank B are zero and 5kg, respectively. • It is assumed that the pollutant is well mixed in each tank at any time t. Let yA(t) and yB(t) be the amount of the pollutant at any time t in Tank A and Tank B, respectively. Determine the particular solution of the corresponding system of ODES using Method of Undetermined Coefficients. What is the final equation of yA(t)? What is the final equation of yB(t)?
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There's a tank containing 50 L of a solution into which 10 g of salt is dissolved in. A solution that contains 2g/L of salt flows into the tank at a rate of 4L/min and the well stirred mixture flows out at a rate of 2L/min. Find the following. What is the concentration of salt in the tank after 30 mins?
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0.5 kg/L Pollutant Pure Water 15 L/min 5 L/min 1000 L 15 L/min 1000 L | with 5 kg pollutant Pure Water Tank A Tank B 20 L/min For the figure shown, consider the following: • Two tanks are connected by a pipe with flow rate of 15L/min. • Tank A and Tank B each contains 100OL volume of liquid. • A pollutant with concentration of 0.5kg/L is discharged to Tank A at a rate of 15L/min, while pure water is discharged to Tank B at a rate of 5L/min. • There is an outflow of 20L/min from Tank B. • Initially, the amount of the pollutant in Tank A and in Tank B are zero and 5kg, respectively. • Itis assumed that the pollutant is well mixed in each tank at any time t. Let yA(t) and ye(t) be the amount of the pollutant at any time t in Tank A and Tank B, respectively. 1. Setup the system of ODES for the two tanks to determine the amount of pollutant in Tank A and Tank B at any time t. 2. Determine the complementary solution of the corresponding system of ODES.
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a tank contains 50kg of salt and 1000 L of water. A solution of a concentration 0.025 kg of salt per liter enters a tank at the rate 9L/min. The solution is mixed and drains from the tank at the same rate. what is the concentration of our solution in the tank initially concentration = ? (kg/L) find the amount of salt in the tank after 3 hours. amount = ? kg c) Find the concentration of salt in the solution in the tank as time approaches infinity. concentration = ? (kg/L)
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Please answer a & b. thank you! A tank initially holds 100 gal at brine solution containing 0.25 lb of salt per gallon. Pure water flows into th tank at thee rate of 2 gal/min, and the well-stirred mixture runs out at the same rate. Find a.) the amount of salt in the tank at any time t and b.) the time require for half the salt to leave the tank.
A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt per ater enters a tank at the rate 6 Limin. The solution is mixed and drains from the tank at the same rate. a.) What is the concentration of our solution in the tank initially? concentration = 0.025 (kg/l) b.) Find the amount of salt in the tank after 3.5 hours. amount = 38.31479 (kg) c.) Find the concentration of salt in the solution in the tank as time approaches infinity concentration 25 (kg/L)
Please help me answer the first three questions. Thank you!

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