Question

Section 7.1 Introduction First Order Systems: Problem 5 Previous Problem Probiem List Next Problem (1 poing) Consider two interconnected tanks as shown in the figure above. Tank 1 Initial contains 10 L Olters) of water and 170 g of salt. while tank 2 Initiaily contains 60 L of water and 445 g of salt. Water containing 25 g'L of salt is poured into tank1 at a rate of 4 U/min while the mixture flowing into tank 2 contains a salt concentration of 50 g/1 of salt and is fowing at the rate of 1.5 Umin. The two connecting tubes have a flow rate of 6 L/min from tank 1 to tank 2; and of 2 L/min from tank 2 back to tank 1. Tank 2 is drained at the rate of 5.5 /min. You may assume that the solutions in each tank are thoroughly mixed so that the concentration of the mixture leaving any tank along any of the tubes has the same concentration of salt as the tank as a whole. (This is not completely realistic, but as in real physics of physics are often too complicated to even write down precisely, much less solve.) The 'real" equations How does the water in each tank change over time? 900) Let plt) and gt) be the amount of salt in g at tme t in tanks 1 and 2 respectively. Wirite differential equations for p and q. (As usual, use the symbols p and q rather than p) and Give the initial values: pro) Note: You can earn partial credit on this oroblem

Answer 1

21 and Smom Lanki bo 90as nase is

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