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
Binto 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
Aand
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)=