Two tanks initially contain 100 liter liquid each. Their initial concentration are listed in the Figure below. At time zero, the input and output valves are opened simultaneously with the same flow rate of 1 liter/min. The feed into T2 is salty water with concentration of 6 wt% NaCl. Meanwhile, the circulation starts between the two tanks with the rate of 1 liter/min and 2 liter/min, respectively (as shown in the figure below). You can assume the tanks are well mixed. The density of liquid is constant at 1kg/liter.

Setup the mass balance equation for the salt amount in each tank and solve the model by using

a) Linear system method;

b) Laplace transform method.

c) plot you results of the salt content (lb-salt) in each tank as a function of time (mins).