A tank contains 40 gal brine for which the concentration is initially 3 lb/gal of salt. A brine solution is pumped into the tank at the rate of 5 gal/min. and the mixture, kept uniform by stirring, runs out at the same rate. If the concentration of the solution flowing in is 2 lb/gal, a) determine the amount of salt in the tank at anytime t, b) how much salt is present after 10 min? c) after a long time?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
icon
Related questions
Question

Solve using Firs Order Ordinary Differential Equation

11. A tank contains 40 gal brine for which the concentration is initially 3 lb/gal of salt.
A brine solution is pumped into the tank at the rate of 5 gal/min. and the mixture,
kept uniform by stirring, runs out at the same rate. If the concentration of the
solution flowing in is 2 lb/gal, a) determine the amount of salt in the tank at
anytime t, b) how much salt is present after 10 min? c) after a long time?
Transcribed Image Text:11. A tank contains 40 gal brine for which the concentration is initially 3 lb/gal of salt. A brine solution is pumped into the tank at the rate of 5 gal/min. and the mixture, kept uniform by stirring, runs out at the same rate. If the concentration of the solution flowing in is 2 lb/gal, a) determine the amount of salt in the tank at anytime t, b) how much salt is present after 10 min? c) after a long time?
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell