A tank contains 100 kg of salt and 2000 L of water. Pure water enters a tank at the rate 10 L/min. The solution is mixed and drains from the tank at the rate 5 L/min. (a) What is the amount of salt in the tank initially? amount = (kg) (b) Find the amount of salt in the tank after 5 hours. amount = (kg) (c) Find the concentration of salt in the solution in the tank as time approaches infinity. (Assume your tank is large enough to hold all the solution.) concentration = (kg/L)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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A tank contains 100 kg of salt and 2000 L of water. Pure water enters a tank at the rate 10 L/min. The
solution is mixed and drains from the tank at the rate 5 L/min.
(a) What is the amount of salt in the tank initially?
amount =
(kg)
(b) Find the amount of salt in the tank after 5 hours.
amount =
(kg)
(c) Find the concentration of salt in the solution in the tank as time approaches infinity. (Assume your tank
is large enough to hold all the solution.)
concentration =
(kg/L)
✪
C
011
O
%
@
esc
1
7
9
a
2
W
S
*
3
e
O
$
4
r
f
%
5
t
8.0
g
6
y
h
08 N
&
7
O
u
*
8
(
9
i
Гк
O
)
O
р
4
49
=
18
USD 10:05
backspa
Transcribed Image Text:A tank contains 100 kg of salt and 2000 L of water. Pure water enters a tank at the rate 10 L/min. The solution is mixed and drains from the tank at the rate 5 L/min. (a) What is the amount of salt in the tank initially? amount = (kg) (b) Find the amount of salt in the tank after 5 hours. amount = (kg) (c) Find the concentration of salt in the solution in the tank as time approaches infinity. (Assume your tank is large enough to hold all the solution.) concentration = (kg/L) ✪ C 011 O % @ esc 1 7 9 a 2 W S * 3 e O $ 4 r f % 5 t 8.0 g 6 y h 08 N & 7 O u * 8 ( 9 i Гк O ) O р 4 49 = 18 USD 10:05 backspa
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