In a closed system of two tanks (i.e, one for which there are no input flows and no output flows)...
Two tanks are interconnected. Tank A contains 70 grams of salt in 30 liters of water, and Tank B contains 60 grams of salt in 20 liters of water. A solution of 1 gram/L flows into Tank A at a rate of 8 L/min, while a solution of 5 grams/L flows into Tank B at a rate of 6 L/min. The tanks are well mixed. The tanks are connected, so 10 L/min flows from Tank A to Tank B, while...
Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank A into tank B at a rate of 4 Umin and from B into A at a rate of 1 L/min The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of 8 L/min. The (diluted) solution flows out of the system from tank...
Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank A into tank Bat a rate of 4 min and from B into A at a rate of 2 Limin The liquid inside each tank is kept wel stirred. A brine solution with a concentration of 0.2 ko'l of salt flows into tank Aata rate of Limin. The (diluted) solution flows out of the system from tank Aat 6 min and...
I just need help understand where I get the 7 for the dx/dt 1. (5 points) Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from Tank A into Tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min. The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into Tank A...
1. Consider the following figure below that shows two brine tanks r galmin fresh water Tank 1 anks 2 containing and V, gallons of brine respectively. Fresh water flows into tank 1, while mixed brine flows from tank l into tank 2· Let x(1) denote the amount (in pounds) ofsalt in tank i at time for i-1,2. Ifeach flow rate is r gallons per minute, then a simple account of salt concentration yields the first-order system where 1,2 If V-50,...
1. Consider the following figure below that shows two brine tanks r gal/min fresh water Tank 1 anks 2 containing V and V gallons of brine respectively. Fresh water flows into tank 1, while mixed brine flows from tank 1 into tank 2. Let x,() denote the amount (in pounds) of salt in tank i at time for i-1,2. If each flow rate is r gallons per minute, then a simple account of salt concentration yields the first-order system where...
Consider two brine tanks. Tank Ti is filled with 30 gal pure water, and tank T2 with 10 gal water containing 4 lb salt. • Ti is filled with 3 gal/min water containing 3 lb/gal salt. • 11 gal/min well-mixed solution flows out of Tj into T2 • 8 gal/min well-mixed solution flows out of T2 into Ti. • Finally, 3 gal/min well-mixed solution is leaving T2. Let yi(t) be the amount of salt (in lb) in tank Ti after...
DIFFERENTIAL EQUATIONS WEBWORK PROBLEM If you can't read the picture: Consider two interconnected tanks as shown in the figure above. Tank 1 initial contains 10 L (liters) of water and 215 g of salt, while tank 2 initially contains 90 L of water and 355 g of salt. Water containing 50 g/L of salt is poured into tank1 at a rate of 4 L/min while the mixture flowing into tank 2 contains a salt concentration of 45 g/L of salt...
TANKA TANKB Figure 1 Figure 1 shows a mixture problem having 2 tanks of Tank A and Tank B. Suppose x(t) and y(t) represent the amount of salt in tank A and tank B respectively in which the two tanks are connected to each other. Tank A contains 800 liters of water initially containing 20 grams of salt dissolved in it and tank B contains 1000 liters of water and initially has 80 grams of salt dissolved in it. Salt...
(1 point) Consider two interconnected tanks as shown in the figure above. Tank 1 initial contains 10 L (liters) of water and 355 g of salt, while tank 2 initially contains 90 L of water and 345 g of salt. Water containing 40 g/L of salt is poured into tank1 at a rate of 4 L/min while the mixture flowing into tank 2 contains a salt concentration of 20 g/L of salt and is flowing at the rate of 1...