A multiple cascade is shown in Fig XXXXXXXXXXAt time, tank 0 contains 1 gal of ethanol and 1 gal of...

Question

A multiple cascade is shown in Fig XXXXXXXXXXAt time, 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, 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. Letdenote the amount of ethanol in tankat time.

Preeti · Accepted Answer

For tank 0
X01 (t) = -x0(t)
                 2
X0 (0) = 1
Ln (X0) = -t/2 + c
X0 (t) =  
Therefore, 	X0 (t) = 
Xn (t) = 
At n = 0
X0 (t) = 
Hence, base step is right.
At t= n
Xn (t) =

A multiple cascade is shown in Fig XXXXXXXXXXAt time , tank 0 contains 1 gal...

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