1. At 12:00 p.m. a tank contains 150 g of salt dissolved in 8 L of water. Pure water begins flowing intothe tank at a rate of 2 L per hour and the well-mixed solution flows out of the tank at a rate of 3 L perhour. At What time will the tank contain 100 g of salt (or will the tank empty before this happens)?2. At 12:00 p.m. the next day, another tank contains 150 g of salt dissolved in 8 L of water. Watercontaining 10 g of salt per L begins flowing into the tank at a rate of 2 L per hour and the well-mixedsolution flows out of the tank at the same rate. At What time will the tank contain 100 g of salt (orwill this never happen)?

Since you have asked multiple questions, we will solve the first one for you. If you want any…

Answered: At 12:00 p.m. a tank contains 150 g of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

A tank contains 2000 liters (L) of a solution consisting of 120 kg of salt dissolved in water. Pure water is pumped into the tank at the rate of 4 L/s, and the mixture-kept uniform by stirring-is pumped out at the same rate. How long will it be until only 12 kg of salt remains in the tank? It will take about seconds. (Round to the nearest second as needed.)
A tank contains 1000L of pure water. Brine that contains 0.05kg of salt per liter of water enters the tank at a rate of 5L/min. Another source of brine that contains 0.04kg of salt per liter of water enters the tank at a rate of 10L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 15 L/min. How much salt is in the tank after t minutes?
please answer
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?
A 500 gal capacity tank initially contains 200 gal of water and 5 Ibs 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 Ibs/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. O 699.79 Ib O 717.71 lb O 560.17 Ib O 913.68 Ib
A garden center is running a special on houseplants. A selection of any 2 plants costs $7. If a designer buys 22 plants for new homes, how much does the designer spend on plants?
A tank initially have 100 L with 50 g of dissolved salt. brine is pumped into the tank at a rate of 2 L/min carrying 2 grams of salt per liter. The well-stirred mixture is pumped out of the tank at a rate of 3 L/min. Find the concentration of the solution after 1 hour.
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 ✔
A water tank that initially contains 140 L of solution in which 20 g of salt was dissolved. A solution with a salt concentration of 4 g/L is added at a rate of 6 L/min. The solution is mixed well and was drained from the tank at a rate of 4 L/min. Find the answer for the following question. 1) Find the concentration of the solution in the tank after 30 minutes.

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS