600L tank initially has 100L saltwater with 20g salt dissolved. In flows 3L/min saltwater with [salt]=2g/L, Outflow of the mixture at [salt]=Q/V has rate 4L/min. Write the IVP for Q(t)= quantity of salt in the mixing tank.
600L tank initially has 100L saltwater with 20g salt dissolved. In flows 3L/min saltwater with [salt]=2g/L, Outflow of the mixture at [salt]=Q/V has rate 4L/min. Write the IVP for Q(t)= quantity of salt in the mixing tank.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![600L tank initially has 100L saltwater with 20g salt dissolved. In flows 3L/min
saltwater with [salt]=2g/L, Outflow of the mixture at [salt]=Q/V has rate 4L/min.
Write the IVP for Q(t)= quantity of salt in the mixing tank.
dQ
3Q
20
dt
100-4t
dQ
Q
= 20
dt
100-t
dQ
4Q
100
-
dt
600-t
dQ
Q
600
dt
100-4t
dQ
2Q
6.
%3D
dt
50+t
home
prt sc
F10
DII
F4
FS
&](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F521df3ae-8e5f-4edb-bcc7-9453c7ca96c5%2Fc175a734-3127-4b9b-81a7-8451d5d99b86%2Fqt1wfyq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:600L tank initially has 100L saltwater with 20g salt dissolved. In flows 3L/min
saltwater with [salt]=2g/L, Outflow of the mixture at [salt]=Q/V has rate 4L/min.
Write the IVP for Q(t)= quantity of salt in the mixing tank.
dQ
3Q
20
dt
100-4t
dQ
Q
= 20
dt
100-t
dQ
4Q
100
-
dt
600-t
dQ
Q
600
dt
100-4t
dQ
2Q
6.
%3D
dt
50+t
home
prt sc
F10
DII
F4
FS
&

Transcribed Image Text:dQ
3Q
20 -
dt
100-4t
dQ
20
dt
100-t
dQ
4Q
100
dt
600 t
OP O
dt
600
100-4t
dQ
dt
2Q
50+t
6 -
%3D
4Q
dQ
dt
6.
|3D
RAD
100-t
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