SOLUTION: Two tanks are used to mix dye and water. A mixture of dye and water with concentration d_1 is pumped into tank 1 at a rate F_1 litres/minute. A mixture of dye and water with dye co
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Question 1099722: Two tanks are used to mix dye and water. A mixture of dye and water with concentration d_1 is pumped into tank 1 at a rate F_1 litres/minute. A mixture of dye and water with dye concentrations d_2 is pumped into tank 2 at a rate F_2 litres/minute. The mixed contents of tank 1 are pumped into tank 2 at a rate M_12 litres/minute. The mixed contents of tank 2 are pumped into tank 1 at a rate m_21 litres/minute. Mixture is drawn off from tank 1 at a rate g_1 litres/minute. Mixture is drawn off from tank 2 at a rate g_2 litres/minute. All of these constants are positive. In each tank all mixing takes place instantaneously. The total volume of solution remains constant at V_1 and V_2 in tanks 1 and 2 respectively.
a) (I have answered) find ordinary differential equations of rate of change of volume of dye in each tank.
B) find the equilibrium volumes v_1(infinity) and v_2(infinity) and show they are positive. Answer by richwmiller(17219) (Show Source):
