A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt per liter enters a tank at the rate 7 L/min. The solution is mixed and drains from the tank at the same rate. (a) What is the concentration of our solution in the tank initially? A concentration = (kg/L) (b) Find the amount of salt in the tank after 3.5 hours. amount = (kg) (c) Find the concentration of salt in the solution in the tank as time approaches infinity. concentration = (kg/L)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 16EQ
icon
Related questions
Question
A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt per liter
enters a tank at the rate 7 L/min. The solution is mixed and drains from the tank at the same rate.
(a) What is the concentration of our solution in the tank initially?
concentration =
(kg/L)
(b) Find the amount of salt in the tank after 3.5 hours.
amount =
(kg)
(c) Find the concentration of salt in the solution in the tank as time approaches infinity.
concentration
(kg/L)
▸
US
J
JC
JO
00
OC
B
$
%
2
3
4
5
D
t
?
EC
J
q
W
e
с
do in
ווד
y
&
7
DO
8
u
9
0
P
Transcribed Image Text:A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt per liter enters a tank at the rate 7 L/min. The solution is mixed and drains from the tank at the same rate. (a) What is the concentration of our solution in the tank initially? concentration = (kg/L) (b) Find the amount of salt in the tank after 3.5 hours. amount = (kg) (c) Find the concentration of salt in the solution in the tank as time approaches infinity. concentration (kg/L) ▸ US J JC JO 00 OC B $ % 2 3 4 5 D t ? EC J q W e с do in ווד y & 7 DO 8 u 9 0 P
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
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 & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning