A tank initially holds 10 gal of fresh water. At 1= 0, a brine solution containing lb of salt per gallon is poured intothe tank at a rate of 2 gal/min, while the well-stirred mixture leaves the tank at the same rate. Find (a) the amountand (b) the concentration of salt in the tank at any time t.7.65.

Let the amount of salt in tank at any given time t will be given as xt. The rate of change of the…

Answered: 7.65. A tank initially holds 10 gal 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

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. A.tank initially contains 100 gal of a solution that holds 25 lb of a chemical. Water runs into the tank at the rate of 3 gal/min and the solution runs out at the same rate. How much of the chemical remains in the tank after of the chemical in to reduce the amount 15 min? How long does it take the tank to 1 lb?
Suppose that k = 0,2hr and that the smallest effective concentration is 0.04mg/ml. A single dose that produces a concentration of 0,1mg/ml is administered. Approximately how many hours will the drug remain effective? O A. T 3hr OB. T* 6hr. OC. T* 69hr. D. T 4,58hr.
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)?
12. A boat takes 2/3 as much time to travel downstream than to travel upstream. If the rate of the water current is 8 kph, what is the rate of the boat in still water? A. 38 kph C. 40 kph B. 42 kph D. 45 kph
10. A ladder 20 feet long leans against a building. If the bottom of the ladder slides away from the building horizontally at a rate of 2 ft./ sec. How fast is the ladder sliding down the house when the top of the ladder is 8 feet from the ground. A. -2.5825 m/s C. -7.5825 m/s B. -6.5825 m/s D. -4.5825 m/s

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