A cylindrical tank 24 inches in radius and 2 meters tall initially contains 100 gal of cane juice. A level sensor is installed in the tank which signals an alarm once 70% of the total volume of the tank has been reached. At t=0, cane juice containing 40% sugar is poured into the tank at the rate of 15gpm, while the stirred mixture leaves at a rate of 5 gpm. assuming that due to operator negligence, this process continued at constant rates, after how many minutes will the alarm sound. Use 1 gal = 3.785 Li.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

A cylindrical tank 24 inches in radius and 2 meters tall initially contains 100 gal of cane juice. A level sensor is installed in the tank which signals an alarm once 70% of the total volume of the tank has been reached. At t=0, cane juice containing 40% sugar is poured into the tank at the rate of 15gpm, while the stirred mixture leaves at a rate of 5 gpm. assuming that due to operator negligence, this process continued at constant rates, after how many minutes will the alarm sound. Use 1 gal = 3.785 Li.

Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
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…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,