Two tanks are interconnected as illustrated below. Let $x_1(t)$ denote the amount of salt in Tank 1 at time t and let $x_2(t)$ denote the amount of salt in Tank 2. Assume the tanks remain well-stirred. Also assume both tanks start filled with pure water. Determine $x_1(t)$ and $x_2(t)$. Find the concentration of salt in each tank after 3 minutes. Assuming the tanks are large enough, what are the long-term concentrations of brine?
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Step 1: Initial Conditions At time t=0, both tanks are filled with pure water, so the initial concentration of salt in both tanks is 0. Show more…
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