Consider two interconnected tanks. Tank 1 initial contains 40 L(liters) of water and 160 g of salt, while tank 2 initiallycontains 20 L of water and 250 g of salt. Water containing 20 g/Lof salt is poured into tank1 at a rate of 2 L/min while the mixtureflowing into tank 2 contains a salt concentration of 35 g/L of saltand is flowing at the rate of 2.5 L/min. The two connecting tubeshave a flow rate of 4 L/min from tank 1 to tank 2; and of 2 L/minfrom tank 2 back to tank 1. Tank 2 is drained at the rate of 4.5L/min. You may assume that the solutions in each tank arethoroughly mixed so that the concentration of the mixture leavingany tank along any of the tubes has the same concentration of saltas the tank as a whole. (This is not completely realistic, but asin real physics, we are going to work with the approximate, ratherthan exact description. The 'real' equations of physics are oftentoo complicated to even write down precisely, much less solve.) Howdoes the water in each tank change over time?
