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26. TI са ke pc po FIGURE 5.1.13. The fermentation tanks of Problem 26. ra Three 100-gal brine tanks are connected as indicated in Fig. 5.1.13 of Section 5.1. Assume that the first tank ini- tially contains 100 lb of salt, whereas the other two are filled with fresh water. Find the amounts of salt in each of

26. TI са ke pc po FIGURE 5.1.13. The fermentation tanks of Problem 26. ra Three 100-gal brine tanks are connected as indicated in Fig. 5.1.13 of Section 5.1. Assume that the first tank ini- tially contains 100 lb of salt, whereas the other two are filled with fresh water. Find the amounts of salt in each of

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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Li 26. Three 100-gal fermentation vats are connected as indi- cated in Fig. 5.1.13, and the mixtures in each tank are kept uniform by stirring. Denote by x; (t) the amount (in pounds) of alcohol in tank T; at time t (i = 1, 2, 3). Sup- pose that the mixture circulates between the tanks at the rate of 10 gal/min. Derive the equations FIGURE 5.1.13. The fermentation tanks of Problem 26. 10x = = -X| + X3 10x = x1 - X2 Three 100-gal brine tanks are connected as indicated in Fig. 5.1.13 of Section 5.1. Assume that the first tank ini- tially contains 100 lb of salt, whereas the other two are filled with fresh water. Find the amounts of salt in each of 10x = X2 – X3. the three tanks at time t. (Suggestion: Examine the equa- tions to be derived in Problem 26 of Section 5.1.)
Transcribed Image Text:Li 26. Three 100-gal fermentation vats are connected as indi- cated in Fig. 5.1.13, and the mixtures in each tank are kept uniform by stirring. Denote by x; (t) the amount (in pounds) of alcohol in tank T; at time t (i = 1, 2, 3). Sup- pose that the mixture circulates between the tanks at the rate of 10 gal/min. Derive the equations FIGURE 5.1.13. The fermentation tanks of Problem 26. 10x = = -X| + X3 10x = x1 - X2 Three 100-gal brine tanks are connected as indicated in Fig. 5.1.13 of Section 5.1. Assume that the first tank ini- tially contains 100 lb of salt, whereas the other two are filled with fresh water. Find the amounts of salt in each of 10x = X2 – X3. the three tanks at time t. (Suggestion: Examine the equa- tions to be derived in Problem 26 of Section 5.1.)
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