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(Solved): Two tanks, each holding 40 L of liquid, are interconnected by pipes with liquid flowing from tank A ...



Two tanks, each holding 40 L of liquid, are interconnected by pipes with liquid flowing from tank A into tank B at a rate of

12(L)/()

min and from tank

B

into tank A at

3(L)/()

min, as shown in the figure. The liquid inside each tank is kept well stirred. Pure water flows into tank A at a rate of

9(L)/(m)in

, and the solution flows out of tank B at

9(L)/(m)in

. If, initially, tank A contains 2.3 kg of salt and tank B contains no salt (only water), determine the mass of salt in each tank at time

t>=0

. Graph on the same axes the two quantities

x_(1)(t)

and

x_(2)(t)

, where

x_(1)(t)

is the mass of salt in tank

A

and

x_(2)(t)

is the mass in tank

B

. Click the icon to view the figure of the tanks. What are the equations for the mass of salt in each tank at time

t>=0

?

x_(1)(t)= x_(2)(t)=


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