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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Differential Equations - Linear First Order

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.
Transcribed Image Text: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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