5) A shark tank filled with 50 gallons of fresh water is being simultaneously drained of the water inside andhaving salt water pumped in. The salt water being pumped in has a concentration of 500 grams of salt pergallon. Presume that the water in the tank is always of a uniform concentration of salt water at all times.a) If the salt water is pumped into the tank at a rate of 5 gallons per minute and the water in the tank is alsopumped out at the same rate, how many grams of salt are in the tank after 10 minutes?b) If the salt water is pumped into the tank at a rate of 5 gallons a minute but the water in the tank is pumpedout at only 4 gallons per minute (and presuming the tank is large enough that the water does not overflow), howmany grams of salt are in the tank after 10 minutes?

Answered: Image /qna-images/answer/309ad12c-056a-484f-a381-9588de489d5e.jpg

Answered: 5) A shark tank filled with 50 gallons…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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11. A tank contains 40 gal beine for which the concentration is initialy 3 b/gal of salt. A brine soluion is pumped into the fonk at the rote of 5 gal/min and the mixture. kept uniform by stiring, runs out at the same rate. the concentration of the solution flowing in a 2 b/gal a) determine the amount of salt in the tank at anytime t b) how much salt is present offer 10 min? e) affer a long time? 12. A tank contoins 80 gal of pure woter. Brine solution with 2 b/gol of solt enters at 2 gat/min, and the well-stimed mlature leaves at the same rate. Find a) the amount of salt in the tank after hal an hour? b) determine the imiting value for he amount of solt in the tank offer a long fime, and e) how much time must pass before the amount of saltl in the tank reaches 80% of this imiting value? 13. A certain type of glass is such that a slab l" thick absorbs one-quarter of the light which storts to pass through it. How thin must a pane of be made to absorb only 15 of the light? 14. Find the…
2. A large tank initially contains 100 gallons of brine in which 10 lb of salt is dissolved. Starting at t = 0, pure water flows into the tank at the rate of 5 gal/min. The mixture is kept uniform by stirring, and the well-stirred mixture simultaneously flows out at the slower rate of 2 gal/min. a) How much salt is in that tank at the end of 15 min and what is the concentration at that time? b) If the capacity of the tank is 250 gallons, what is the concentration at the instant the tank overflows?
A technician is changing a automotbile's transmission fluid. The manual tells him the transmission hold 7.8 quarts of fluid. When He drains the transmission, it only releases 3.1 quarts. He closes the plug and puts 3.1 quarts of fresh fluid back in. The manual tells him to run the car for 10 minutes to completely mix the fresh fluid in. The manual states to repeat this process 2 more times. Knowing that some fresh fluid is lost on each of the following 2 drains, what is the final ratio of fresh fluid to old?
Suppose that the operations in a post office can be defined as M/M/3 queueing system, which means we have 3 clerks. Customers arrive at the rate of λ = 12 and get the service at the rate of μ = 3. The number of people in the system can be at most 5. Find : a) What is the average time spent in the system by a customer? b) What is the average time spent in the queue by a customer?
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 5 L/min and from B into A at a rate of 4 L/min. The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.1 kg/L of salt flows into tank A at a rate of 10 L/min. The (diluted) solution flows out of the system from tank A at 9 L/min and from tank B at 1 L/min. If initially, tank A contains pure water and tank B contains 10 kg of salt, determine the mass of salt in each tank at time t≥0. x(t) = 10 L/min- 0.1 kg/L y(t) = 9 L/min A x(t) 100 L x(0) = 0 kg 5 L/min What is the solution to the system? 18 4 L/min B y(t) 100 L y(0) = 10 kg ..... 1 L/min O ✔
5) An IV which is ordered to infuse in eight hours began infusing at 0700 h. At what time, (expressed as standard time) will it be completed? 6) Convert 1 days to an equivalent amount in minutes. 7) Convert 0.75- 8) Convert 2.5 pound minute to an equivalent rate in pounds per hour. feet to an equivalent rate in inches per minute. hour 9) Convert 4,500 mL to an equivalent amount in liters. 12) Convert 10) Convert 500 mcg to an equivalent amount in milligrams. 11) 3.5 pounds = ? ounces cup to an equivalent amount in tablespoons. 13) 64 ounces = ? pints 14) Convert 4 feet 10 inches to an equivalent amount in centimeters. 5) 7) 6) 8) 9) 10) 11) 13) 12) 14)

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