Tank 1 Volume V, Amount x Tank 2 Volume V2 Amount y FIGURE 1.5.5. A cascade of two tanks. 39. Two tanks Suppose that in the cascade shown in Fig. 1.5.5, tank 1 initially contains 100 gal of pure ethanol and tank 2 initially contains 100 gal of pure water. Pure water flows into tank 1 at 10 gal/min, and the other two flow rates are also 10 gal/min. (a) Find the amounts x (t) and y(t) of ethanol in the two tanks at time t20. (b) Find the maximum amount of ethanol ever in tank 2.

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