A brine solution of salt flows at a constant rate of 3 L/min into a large tank that initially held 230 L of brine solution in which was dissolved 15 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate that it flows in. The concentration of salt in the brine entering the tank is 0.45 kg/L. (a) Write a differential equation modeling the change in mass (in kg) of salt in the tank. Use x and t if necessary. (b) Determine the mass of the salt in the tank after t min. Include units.

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 brine solution of salt flows at a constant rate of 3 L/min into a large tank that initially held 230 L of brine solution in which was dissolved 15 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate that it flows in. The concentration of salt in the brine entering the tank is 0.45 kg/L.

(a) Write a differential equation modeling the change in mass (in kg) of salt in the tank. Use and if necessary.

(b) Determine the mass of the salt in the tank after min. Include units.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Differential Equation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar 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,