A multiple cascade is shown in Fig. 1.5.6. At time t D 0, tank 0 contains 1 gal of ethanol and 1 gal of water; all the remaining tanks contain 2 gal of pure water each. Pure water is pumped into tank 0 at 1 gal=min, and the varying mixture in each tank is pumped into the one below it at the same rate. Assume, as usual, that the mixtures are kept perfectly uniform by stirring. Let xn.t / denote the amount of ethanol in tank n at time t.

Thursday, May 11, 2017 11:55 AM My in Class Notes Page 1 My in Class Notes Page 2 My in Class Notes Page 3 My in Class Notes Page 4