Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank A into tank B at a rate of 6 L/min and from B into A at a rate of 2 L/min. The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tankrate of 12 L/min. The (diluted) solution flows out of the system from tank A at 8 L/min and from tank B at 4 L/min. If initially, tank A contains pure water and tank B contains 20 kg of salt, determine the mass of salt in each tank at time t≥ 0.QQAB12 U/min-6 Umin0.2 kg/Lx(t)100 Lx(0)=0 kgy(t)100 Ly(0) = 20 kgG8 Umin4 L/min2 UminWhat is the solution to the system?x(t)=y(t)13

To solve this problem, we need to model the system of tanks as a set of differential equations that…

Answered: Two large tanks, each holding 100 L of…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Two large tanks, each holding 100L of liquid, are interconnected by pipes, with the liquid flowing from tank A into tank B at a rate of 3L/min and from B into A at a rate of 1L/min. The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.1kg/L of salt flows into tank A at a rate of 6L/min. The (diluted) solution flows out of the system from tank A at 4L/min and from tank B at 2L/min. If initially, tank A contains pure water and tank B contains 10kg of salt, determine the mass of salt in each tank at time t≥0. What is the solution to the system? x(t)= y(t)=
Two narrow bores of diameters of 3 mm jánd 6 mm are joined together to form a U-shaped tube open at both ends. If the U-tube contains water, what is the difference in levels in two limbs of the tube ? Surface tension of water at the temperature of experiment is 7.3 × 10-² N/m. Take the angle of contact to be zero and density of water to be 1 × 10³ kg¯³.
The pressure of a gas in well sealed vertical frictionless piston-cylinder is to be increased by increasing the mass of the piston by 25 kg. If the area of the cylinder is 0.015 m2 , the increase in pressure of the gas is: OPTIONS: 15.5 KPa 16.35 KPa 1.06 KPa 10 KPa
Janice is grilling a steak for her July 4th barbecue dinner. The steak initially weighs 300 grams and is 25 mm thick. After grilling it for a while, she considers the steak done, and measures it again: it now weighs 215 grams, and is 15 mm thick. For both the cooked and uncooked steak, she uses the thumb-test to determine the done-ness, i.e. she uses her thumb (area ~5cm2) to push down with a force of 5 N. The uncooked steak compresses by 7 mm, and the cooked steak by 2 mm. The change in elasticity of the steak on cooking is due partly to the loss of water volume (so that existing bonds get closer together) and partly to the creation of new bonds. Assume all of the difference in raw vs. cooked steak thickness is due to water loss that makes it thinner (25 mm thick in the uncooked steak, versus 15 mm thick in the cooked steak), and that the other dimensions of the steak (length and width) have not changed. By what percentage has the steak's volume decreased from the original value?…
Bacteria have a density that is about the same as water. Their average velocity is 10^-3 m/s. A bacterium with a radius of 1 um should have a diffusion coefficient of about 2.2x10^-13 m^2/s. (a) Find the random-walk step size (b) How long does it take for an average walk to reach 1 mm in seconds and days? Note that we are considering the diffusion away from the starting point and are calculating the distance through three dimensions. Show your work
275 mL of an aqueous solution containing 0.870 g of an unknown molecular compound generates an osmotic pressure of 2.52 atm at 20.0°C. What is the molar mass of the unknown compound? Group of answer choices 46.6 g/mol 171 g/mol 30.2 g/mol 23.3 g/mol 34.0 g/mol23
The boiling point of a liquid is 28.3°C. A portion of the liquid is at equilibrium with its vapor at 22.3°C in a sealed flask. The temperature rises to to 32.6°C.What happens inside the container? Liquid is converted to vapor, the new equilbrium mixture contains less liquid and more vapor. The vapor is all converted to liquid. Vapor is converted to liquid, the new equilibrium mixture contains more liquid and less vapor. The liquid is all converted to vapor.
Rank from lowest to highest with 1 being the lowest average kinetic energy.
Two narrow bores of diameters of 3 mm and 6 mm are joined together to form a U-shaped tube open at both ends. If the U-tube contains water, what is the difference in levels in two limbs of the tube ? Surface tension of water at the temperature of experiment is 7.3 x 10-? N/m. Take the angle of contact to be zero and density of water to be 1 x 10° kg³.
A 5.50 L sample of neon at 6.67 atm is added to a 10.0 L cylinder that contains argon. If the pressure in the cylinder is 7.63 atm after the neon is added, what was the original pressure (in atm) of argon in the cylinder? Hint is given in the feedback. Answer: 6.3315 Hint, what pressure would the neon have in the second container if no argon were present?
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A gas storage tank has a small leak. The pressure in the tank drops more quickly if the gas is hydrogen or helium than if it is oxygen. Why?

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