Consider the two tanks as shown in (Figure 11-2), which are connected in series. The first tank has a volume of salt water Vo with a concentration of Co. The second tank whose volume is Vo . It was empty at first. At moment t 0, pure water enters the first tank with a volumetric flow rate of v and at the same time, it is pumped from the first tank to the second tank with an intensity v. At this time, no fluid leaves the second tank. C, v Vo ob Vo Figure 11-2 A) Prove that the changes in salt concentration in the first tank are obtained from the following equation. C1 = exp (- Vo C2 vt

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Consider the two tanks as shown in (Figure 11-2), which are connected in series.
The first tank has a volume of salt water Vo with a concentration of Co . The
second tank whose volume is Vo . It was empty at first. At moment t = 0, pure
water enters the first tank with a volumetric flow rate of v and at the same time,
it is pumped from the first tank to the second tank with an intensity v. At this
time, no fluid leaves the second tank.
C, v
o Vo
b Vo
Figure 11-2
A) Prove that the changes in salt concentration in the first tank are obtained
from the following equation.
vt
= exp
C2
Vo
Transcribed Image Text:Consider the two tanks as shown in (Figure 11-2), which are connected in series. The first tank has a volume of salt water Vo with a concentration of Co . The second tank whose volume is Vo . It was empty at first. At moment t = 0, pure water enters the first tank with a volumetric flow rate of v and at the same time, it is pumped from the first tank to the second tank with an intensity v. At this time, no fluid leaves the second tank. C, v o Vo b Vo Figure 11-2 A) Prove that the changes in salt concentration in the first tank are obtained from the following equation. vt = exp C2 Vo
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