Write down, but do not solve,
the equation for the amounts x(t), y(t) lbs. of salt in the two
tanks respectively as shown below. All valves A, B, C, D are opened
at t=0 minutes.
Homework Answers
Add Answer to:
Write down, but do not solve,
the equation for the amounts x(t), y(t) lbs. of salt...
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...
s. (8 pts) Initially, Tank I contains 100 gal of brine solution that has 10 th of dismolved salt and Tank 2 contains 400 gal of brine solution thst has 15 Ib of dissolved salt The brine in each t...
s. (8 pts) Initially, Tank I contains 100 gal of brine solution that has 10 th of dismolved salt and Tank 2 contains 400 gal of brine solution thst has 15 Ib of dissolved salt 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 the at 10 gal/min and the brine in Tank 2 is pumped out at 10 gal/min. 0 gal/i In addition,...
L c The amounts x1 (t) and x2 (t) of salt in two brine tanks satisfy the differential equations b...
l c The amounts x1 (t) and x2 (t) of salt in two brine tanks satisfy the differential equations below where ki = for i= 1. 2. The volumes are V,-50 (gal) and v2-25 (gal). First solve for x1(t) and x2(t) assuming that r#20 (gai in). x1(0): 25(b), and x2(0)-Ο Then find the maximum amount of salt ever in tank 2 Finally, construct a figure showing the graphs of x,(t) and x2t) dx1 dx2
l c The amounts x1 (t)...
B. Set up a system of equations for the following situation and then use MATLAB to solve the system Tank A contains 50 gallons of water in which 25 pounds of salt are dissolved. A second tank, B, con...
B. Set up a system of equations for the following situation and then use MATLAB to solve the system Tank A contains 50 gallons of water in which 25 pounds of salt are dissolved. A second tank, B, contains 50 gallons of pure water. Liquid is pumped in and out of the tanks at the rates shown in Figure 8.9. Derive the differential equations taerihe themuunds and B, respectively d tm in tanks A mixture pure water 3 gal/min 1...
Tanks T1 and T2 both initial contains 50 gallons of pure water. Starting at t = 0, water that contains 1 pound of salt per gallon is poured into Ti at a rate of 2 gal/min. The mixture is drained from...
Tanks T1 and T2 both initial contains 50 gallons of pure water. Starting at t = 0, water that contains 1 pound of salt per gallon is poured into Ti at a rate of 2 gal/min. The mixture is drained from T1 at the same rate into the second tank T2. Starting at to = 0, a mixture from another source that contains 2 pounds of salt per gallon is poured into T2 at a rate of 2 gal/min. The...
Solve the differential equation. 7) dy Y-(In x5 7) dx х Solve the initial value problem....
Solve the differential equation. 7) dy Y-(In x5 7) dx х Solve the initial value problem. 8) e dy + y = cos e; e > 0, y(n) = 1 de 8) Solve the problem. 9) A tank initially contains 120 gal of brine in which 50 lb of salt are dissolved. A brine containing 1 lb/gal of salt runs into the tank at the rate of 10 gal/min. The mixture is kept uniform by stirring and flows out of...
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...
3. A 1000-gallon tank initially contains 800 gallons of water with 3 lbs of salt dissolved...
3. A 1000-gallon tank initially contains 800 gallons of water with 3 lbs of salt dissolved in it. A water-salt mixture with a concentration of 0.4 lb of salt per gallon enters the tank at a rate of 8 gal/hr. The liquid in the tank is well-mixed and is pumped out of the tank at a rate of 10 gal/hr. Suppose you were asked to find an expression for the amount of salt in the tank at time t. (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...
(1 point) A tank holds 250 gallons of water than contains 50 pounds of dissolved salt. Pure water...
(1 point) A tank holds 250 gallons of water than contains 50 pounds of dissolved salt. Pure water is flowing into the tank at the rate of 1/2 gal/min while the solution flows out of the tank at the rate of 4 gal/min. (a) Write down a differential equation describing this situation. Use y for the amount of salt in the tank dy 4y/250-3.5t) dt (b) Write this equation in the correct form for using the method of separation of...
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...
s. (8 pts) Initially, Tank I contains 100 gal of brine solution that has 10 th of dismolved salt and Tank 2 contains 400 gal of brine solution thst has 15 Ib of dissolved salt 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 the at 10 gal/min and the brine in Tank 2 is pumped out at 10 gal/min. 0 gal/i In addition,...
l c The amounts x1 (t) and x2 (t) of salt in two brine tanks satisfy the differential equations below where ki = for i= 1. 2. The volumes are V,-50 (gal) and v2-25 (gal). First solve for x1(t) and x2(t) assuming that r#20 (gai in). x1(0): 25(b), and x2(0)-Ο Then find the maximum amount of salt ever in tank 2 Finally, construct a figure showing the graphs of x,(t) and x2t) dx1 dx2
l c The amounts x1 (t)...
B. Set up a system of equations for the following situation and then use MATLAB to solve the system Tank A contains 50 gallons of water in which 25 pounds of salt are dissolved. A second tank, B, contains 50 gallons of pure water. Liquid is pumped in and out of the tanks at the rates shown in Figure 8.9. Derive the differential equations taerihe themuunds and B, respectively d tm in tanks A mixture pure water 3 gal/min 1...
Tanks T1 and T2 both initial contains 50 gallons of pure water. Starting at t = 0, water that contains 1 pound of salt per gallon is poured into Ti at a rate of 2 gal/min. The mixture is drained from T1 at the same rate into the second tank T2. Starting at to = 0, a mixture from another source that contains 2 pounds of salt per gallon is poured into T2 at a rate of 2 gal/min. The...
Solve the differential equation. 7) dy Y-(In x5 7) dx х Solve the initial value problem. 8) e dy + y = cos e; e > 0, y(n) = 1 de 8) Solve the problem. 9) A tank initially contains 120 gal of brine in which 50 lb of salt are dissolved. A brine containing 1 lb/gal of salt runs into the tank at the rate of 10 gal/min. The mixture is kept uniform by stirring and flows out 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...
3. A 1000-gallon tank initially contains 800 gallons of water with 3 lbs of salt dissolved in it. A water-salt mixture with a concentration of 0.4 lb of salt per gallon enters the tank at a rate of 8 gal/hr. The liquid in the tank is well-mixed and is pumped out of the tank at a rate of 10 gal/hr. Suppose you were asked to find an expression for the amount of salt in the tank at time t. (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...
(1 point) A tank holds 250 gallons of water than contains 50 pounds of dissolved salt. Pure water is flowing into the tank at the rate of 1/2 gal/min while the solution flows out of the tank at the rate of 4 gal/min. (a) Write down a differential equation describing this situation. Use y for the amount of salt in the tank dy 4y/250-3.5t) dt (b) Write this equation in the correct form for using the method of separation of...
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