(1 point Consider the two tank apparatus shown in the figure. Each tank has capacity 750 liters and initially contains 150 liters of fresh water. At time t = 0, the well-stirred mixing process begins. Suppose that the concentration of brine flowing into Tank 1 via the top tube is 1 kilograms per liter, and that the flow rates are r1 = r3 = 4 liters per minute, and r2 = r4 = 14 liters per minute. Tank Tant 2 (a) Determine the volume of solution in each tank as a function of time, t, in minutes. Vi (t) liters = V2(t) liters = (b) Determine the time interval of interest. (The process stops when a tank is full or empty.) minutes Stopping time is (c) Let Q1(t) and Q2(t) denote the amounts of salt (in kilograms) in the tanks at time t (in minutes). Derive the initial value problem with Q1(t) and Q2(t) as dependent variables describing the mixing process. Enter Q1(t) as Q1(t) and Q2(t) as Q2(t). d. (Q1(t)) df kg/ min = d (Q2(t)) = df kg/min with Q1(0) = kg and Q2(0) = kg. 비용
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1 Tank 1 12 Tank 2 '3 (1 point Consider the two tank apparatus shown in...
(3 points) Consider the two tank apparatus shown in the figure. Each tank has capacity 950950 liters and initially c...
(3 points)
Consider the two tank apparatus shown in the figure. Each tank
has capacity 950950 liters and initially contains 100100 liters of
fresh water. At time t=0t=0, the well-stirred mixing process
begins. Suppose that the concentration of brine flowing into Tank 1
via the top tube is 11 kilograms per liter, and that the flow rates
are r1=r3=4r1=r3=4 liters per minute, and r2=r4=13r2=r4=13 liters
per minute.
(a) Determine the volume of solution in each tank as a function of...
(1 point) Consider the two tank apparatus shown in the figure. Each tank has capacity 750...
(1 point) Consider the two tank apparatus shown in the figure. Each tank has capacity 750 liters and initially contains 150 liters of fresh water. At time t = 0, the well-stirred mixing process begins. Suppose that the concentration of brine flowing into Tank 1 via the top tube is 0.75 kilograms per liter, and that the flow rates are r = 13 = 3 liters per minute, and r2 = 14 = 10 liters per minute. (a) Determine the...
Consider two brine tanks connected as shown in the figure. The brine solution is pumped from tank 1 into tank 2 at a...
Consider two brine tanks connected as shown in the figure. The
brine solution is pumped from tank 1 into tank 2 at a rate of 10
L/min10 L/min, and from tank 2 into tank 1 at a rate of 10 L/min10
L/min. Suppose there are 50 L50 L of brine in tank 1 and 25 L25 L
of brine in tank 2. Let xx be the amount of salt, in kilograms, in
tank 1 after tt minutes have elapsed, and...
1. Consider the following figure below that shows two brine tanks r gal/min fresh water Tank 1 an...
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...
1. Consider the following figure below that shows two brine tanks r galmin fresh water Tank 1 ank...
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,...
Consider two brine tanks connected as shown in figure I below. Tank 1 contains xit) pounds...
Consider two brine tanks connected as shown in figure I below. Tank 1 contains xit) pounds of salt in 100 wal of brine and tank 2 contains vit) pounds of salt in 200 gal of brine. The brine in each tank is kept uniform by stirring, and brine is pumped from each tank to the other at the rates indicated in figure 1. In addition, fresh water flows into tank 1 at 20 gal/min, and the brine in tank 2...
Water 12 L/min Mixture 4 L/min 100 L 100 L Mixture 16 L/min Mixture 12 L/min Mixing tank A holds ...
Water 12 L/min Mixture 4 L/min 100 L 100 L Mixture 16 L/min Mixture 12 L/min Mixing tank A holds 100 L of water in which 0.04 kg of salts is dissolved. Suppose tank B contains 100 L of water which has 0.02 kg of salt. Liquid is pumped in and out of the tanks as indicated in the figure. The mixture exchanged between the two tanks and the liquid pumped out of tank B is assumed to be well...
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...
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...
10. Suppose a brine containing 0.2 kg of salt per liter runs into a tank initially...
10. Suppose a brine containing 0.2 kg of salt per liter runs into a tank initially filled with 500 L of water containing 5 kg of salt. The brine enters the tank at a rate of 5 L/Min. The mixture, kept uniform by stirring, is flowing out at the rate of 5 L/min. Let A(t) be the amount of salt in the tank at time t (in minutes), then set up an IVP for the scenario, then find the concentration,...
(3 points)
Consider the two tank apparatus shown in the figure. Each tank
has capacity 950950 liters and initially contains 100100 liters of
fresh water. At time t=0t=0, the well-stirred mixing process
begins. Suppose that the concentration of brine flowing into Tank 1
via the top tube is 11 kilograms per liter, and that the flow rates
are r1=r3=4r1=r3=4 liters per minute, and r2=r4=13r2=r4=13 liters
per minute.
(a) Determine the volume of solution in each tank as a function of...
(1 point) Consider the two tank apparatus shown in the figure. Each tank has capacity 750 liters and initially contains 150 liters of fresh water. At time t = 0, the well-stirred mixing process begins. Suppose that the concentration of brine flowing into Tank 1 via the top tube is 0.75 kilograms per liter, and that the flow rates are r = 13 = 3 liters per minute, and r2 = 14 = 10 liters per minute. (a) Determine the...
Consider two brine tanks connected as shown in the figure. The
brine solution is pumped from tank 1 into tank 2 at a rate of 10
L/min10 L/min, and from tank 2 into tank 1 at a rate of 10 L/min10
L/min. Suppose there are 50 L50 L of brine in tank 1 and 25 L25 L
of brine in tank 2. Let xx be the amount of salt, in kilograms, in
tank 1 after tt minutes have elapsed, and...
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...
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,...
Consider two brine tanks connected as shown in figure I below. Tank 1 contains xit) pounds of salt in 100 wal of brine and tank 2 contains vit) pounds of salt in 200 gal of brine. The brine in each tank is kept uniform by stirring, and brine is pumped from each tank to the other at the rates indicated in figure 1. In addition, fresh water flows into tank 1 at 20 gal/min, and the brine in tank 2...
Water 12 L/min Mixture 4 L/min 100 L 100 L Mixture 16 L/min Mixture 12 L/min Mixing tank A holds 100 L of water in which 0.04 kg of salts is dissolved. Suppose tank B contains 100 L of water which has 0.02 kg of salt. Liquid is pumped in and out of the tanks as indicated in the figure. The mixture exchanged between the two tanks and the liquid pumped out of tank B is assumed to be well...
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...
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...
10. Suppose a brine containing 0.2 kg of salt per liter runs into a tank initially filled with 500 L of water containing 5 kg of salt. The brine enters the tank at a rate of 5 L/Min. The mixture, kept uniform by stirring, is flowing out at the rate of 5 L/min. Let A(t) be the amount of salt in the tank at time t (in minutes), then set up an IVP for the scenario, then find the concentration,...
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