SOLVED: Consider two interconnected tanks as shown in the figure above. Tank 1 initially contains 20 L of water and 460 g of salt, while tank 2 initially contains 30 L of water and 345 g of salt. Water containing 50 g/L of salt is poured into tank 1 at a rate of 1 L/min while the mixture flowing into tank 2 contains a salt concentration of 30 g/L of salt and is flowing at the rate of 3.5 L/min. The two connecting tubes have a flow rate of 5 L/min.You may assume that the solutions in each tank ar
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SOLVED:In Exercises 29-32, a 1000 -liter (L) tank contains 500 L. of water with a salt concentration of 10 g / L . Water with a salt concentration of 50 g / L flows into the tank at a rate of Ri n=80 L / minutes(min) . The fluid mixes instantaneously and is pumped out at a specified rate Rout. Lel y(t) denote the quantity of salt in the tank at time t . Assume that R out =40 L / min. (a) Set up and solve the differential equation for y(t) . (b) What is the salt concentration when the
SOLVED:In Exercises 29-32, a 1000 -liter (L) tank contains 500 L. of wat…
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SOLVED:A tank in the form of a right circular cylinder standing on end is leaking water through a circular hole in its bottom. As we saw in (10) of Section 1.3, when friction and contraction of water at the hole are ignored, the height h of water in the tank is described by (d h)/(d t)=-(Ah)/(Aw) √(2 g h), where Aw and Ah are the cross-sectional areas of the water and the hole, respectively. (a) Solve for h(t) if the initial height of the water is H. By hand, sketch the graph of h(t) and give it
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