Three 100-gal fermentation vats are connected as indicated

Chapter , Problem 32

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Three 100-gal fermentation vats are connected as indicated in Fig. 4.1.13, and the mixture in each tank is kept uniform by stirring. Denote by xi.t / the amount (in pounds) of alcohol in tank Ti at time t (i D 1, 2, 3). Suppose that the mixture circulates between the tanks at the rate of 10 gal=min. Derive the equations 10x0 1 D x1 C x3 10x0 2 D x1 x2 10x0 3 D x2 x3. T

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