An 800-gallon tank initially contains 50 lbs of salt dissolved in water to create 250 gallons of brine. A brine bearing 0.1 lb/gallon enters the tank at a rate of 35 gallons/hr. Instantaneous mixing is assumed. Meanwhile, brine is pumped out of the tank at a rate of 20 gallons/hour. Develop the equation which describes the amount of salt in the tank at any time. Then determine the amount of salt in the tank when it is completely full.
An 800-gallon tank initially contains 50 lbs of salt dissolved in water to create 250 gallons of brine. A brine bearing 0.1 lb/gallon enters the tank at a rate of 35 gallons/hr. Instantaneous mixing is assumed. Meanwhile, brine is pumped out of the tank at a rate of 20 gallons/hour. Develop the equation which describes the amount of salt in the tank at any time. Then determine the amount of salt in the tank when it is completely full.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
An 800-gallon tank initially contains 50 lbs of salt dissolved in water to create 250 gallons of brine. A brine bearing 0.1 lb/gallon enters the tank at a rate of 35 gallons/hr. Instantaneous mixing is assumed. Meanwhile, brine is pumped out of the tank at a rate of 20 gallons/hour. Develop the equation which describes the amount of salt in the tank at any time. Then determine the amount of salt in the tank when it is completely full.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 5 images
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,
