Two tanks are interconnected. Tank A contains 70 grams of salt in 30 liters of water,...
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 2 L/min flows from Tank B to Tank A. An additional 14 L/min drains from Tank B. Letting x represent the grams of salt in Tank A, and y represent the grams of salt in Tank B, set up the system of differential equations for these two tanks.
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Two tanks are interconnected. Tank A contains 70 grams of salt
in 30 liters of water,...
Consider the two interconnected tanks shown in Figure 7.1.6. Tank 1 initially contains 30 gal of ...
Consider the two interconnected tanks shown in Figure 7.1.6.
Tank 1 initially contains 30 gal of water and 25 oz of salt, and
Tank 2 initially contains 20 gal of water and 15 oz of salt. Water
containing 1 oz/gal of salt flows into Tank 1 at a rate of 1.5
gal/min. The mixture flows from Tank 1 to Tank 2 at a rate of 3
gal/min. Water containing 3 oz/gal of salt also flows into Tank 2
at a...
(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...
(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...
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...
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 point) Consider two interconnected tanks as shown in the figure above. Tank 1 insal contains...
(1 point) Consider two interconnected tanks as shown in the figure above. Tank 1 insal contains 100 Lters) of water and 345 g of sat, while tank 2 initally contains 90 L of water and 225 g of sait Water containing 25 gL of salt is poured into tank1 at a rate of 3.5 Lmin while the midure flowing into tank 2 contains a salt concentration of 35 gL of salt and is flouing at the rate of 2.5 Limin....
11. A tank contains 200 liters of fluid in which 30 grams of salt is dissolved....
11. A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 4 L/min. The well-mixed solution is pumped out at the same rate. Find the number of grams of salt in the tank at time t.
DIFFERENTIAL EQUATIONS WEBWORK PROBLEM If you can't read the picture: Consider two interconnected tanks as shown in...
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...
Consider the two interconnected tanks shown in the following figure. 1 g/min 3 galimin 1 oz...
Consider the two interconnected tanks shown in the following figure. 1 g/min 3 galimin 1 oz 30/gal 4 galimin Q un salt Q.) o salt Tank 1 Tank 2 4 l/min Tank 1 initially contains 60 gal of water and 25 oz of salt, and Tank 2 initially contains 44 gal of water and 15 oz of salt. Water containing 1 oz/gal of salt flows into Tank 1 at a rate of 3 gal/min. The mixture flows from Tank 1...
(1 point) A tank initially contains 25 liters of salt water solution with 10 grams of...
(1 point) A tank initially contains 25 liters of salt water solution with 10 grams of salt dissolved in it. Salt water containing one gram of salt per liter pours in at the rate of one liter per minute and the well-stired mixture drains out at the rate of 2 liters per minute. How many grams of salt will be in the tank after one minute? Answer: grams of salt.
TANKA TANKB Figure 1 Figure 1 shows a mixture problem having 2 tanks of Tank A...
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...
4. A tank initially contains 100 liters (L) of water with a salt concentration of 20...
4. A tank initially contains 100 liters (L) of water with a salt concentration of 20 g/L. A mixture with a salt concentration of 5 g/L flows into the tank at a rate of 5 Umin while the well-mixed fuid in the tank flows out at the rate of 3 L/min. Determine the concentration of salt (g/L) in the tank when the volume in the tank reaches 400 liters.
Consider the two interconnected tanks shown in Figure 7.1.6.
Tank 1 initially contains 30 gal of water and 25 oz of salt, and
Tank 2 initially contains 20 gal of water and 15 oz of salt. Water
containing 1 oz/gal of salt flows into Tank 1 at a rate of 1.5
gal/min. The mixture flows from Tank 1 to Tank 2 at a rate of 3
gal/min. Water containing 3 oz/gal of salt also flows into Tank 2
at a...
(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...
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 point) Consider two interconnected tanks as shown in the figure above. Tank 1 insal contains 100 Lters) of water and 345 g of sat, while tank 2 initally contains 90 L of water and 225 g of sait Water containing 25 gL of salt is poured into tank1 at a rate of 3.5 Lmin while the midure flowing into tank 2 contains a salt concentration of 35 gL of salt and is flouing at the rate of 2.5 Limin....
11. A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 4 L/min. The well-mixed solution is pumped out at the same rate. Find the number of grams of salt in the tank at time t.
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...
Consider the two interconnected tanks shown in the following figure. 1 g/min 3 galimin 1 oz 30/gal 4 galimin Q un salt Q.) o salt Tank 1 Tank 2 4 l/min Tank 1 initially contains 60 gal of water and 25 oz of salt, and Tank 2 initially contains 44 gal of water and 15 oz of salt. Water containing 1 oz/gal of salt flows into Tank 1 at a rate of 3 gal/min. The mixture flows from Tank 1...
(1 point) A tank initially contains 25 liters of salt water solution with 10 grams of salt dissolved in it. Salt water containing one gram of salt per liter pours in at the rate of one liter per minute and the well-stired mixture drains out at the rate of 2 liters per minute. How many grams of salt will be in the tank after one minute? Answer: grams 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...
4. A tank initially contains 100 liters (L) of water with a salt concentration of 20 g/L. A mixture with a salt concentration of 5 g/L flows into the tank at a rate of 5 Umin while the well-mixed fuid in the tank flows out at the rate of 3 L/min. Determine the concentration of salt (g/L) in the tank when the volume in the tank reaches 400 liters.
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