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)=