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
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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
&
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 &
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
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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