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(1 point) A large tank contains 500 liters of a salt solution which has a concentration...
(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.
(1 point) A tank contains 60 kg of salt and 1000 L of water. A solution...
(1
point) A tank contains 60 kg of salt and 1000 L of water. A
solution of a concentration 0.03 kg of salt per liter enters a tank
at the rate 7 L/min. The solution is mixed and drains from the tank
at the same rate.
(1 point) A tank contains 60 kg of salt and 1000 L of water. A solution of a concentration 0.03 kg of salt per liter enters a tank at the rate 7 Umin. The...
(1 point) A tank contains 50 kg of salt and 2000 L of water. A solution...
(1 point) A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt per liter enters a tank at the rate 7 L/min. The solution is mixed and drains from the tank at the same rate. (a) What is the concentration of our solution in the tank initially? concentration = !!! (kg/L) (b) Set up an initial value problem for the quantity y, in kg, of salt in the tank...
A tank contains 100L of water. A solution with a salt concentration of 0.6kg/L is added...
A tank contains 100L of water. A solution with a salt concentration of 0.6kg/L is added at a rate of 7L/min. The solution is kept thoroughly mixed and is drained from the tank at a rate of 5L/min. Answer the following questions. 1. If is the amount of salt (in kilograms) after t minutes, what is the differential equation for which y is satisfied? Use the variable y for y(t). Answer (in kilograms per minute): dy/dt = 4.2-(5y/100+2t) 2. How...
-2t A tank initially contains 10 liters of water and 5 grams of salt. Salt water...
-2t A tank initially contains 10 liters of water and 5 grams of salt. Salt water containing 3+ e grams of salt per liter is pumped into the tank at a rate of 2 liters per minute. The solution of salt water is instantaneously, perfectly mixed and then pumped out at a rate of 2 liters per minute. Determine when, to three decimal places, the concentration of the salt leaving the tank is within 0.01 grams/liter of the salt entering...
(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 Tank 1 12 Tank 2 '3 (1 point Consider the two tank apparatus shown in...
1 Tank 1 12 Tank 2 '3 (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 =...
Previous Problem Problem List Next Problem (1 point) A tank contains 60 kg of salt and...
Previous Problem Problem List Next Problem (1 point) A tank contains 60 kg of salt and 1000 L of water. Pure water enters a tank at the rate 12 L/min. The solution is mixed and drains from the tank at the rate 6 L/min. (a) Write an initial value problem for the amount of salt, y, in kilograms, at time t in minutes: !!! (kg/min) y(0) = 60 !!! kg (b) Solve the initial value problem in part (a) y(t)...
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.
(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...
(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.
(1
point) A tank contains 60 kg of salt and 1000 L of water. A
solution of a concentration 0.03 kg of salt per liter enters a tank
at the rate 7 L/min. The solution is mixed and drains from the tank
at the same rate.
(1 point) A tank contains 60 kg of salt and 1000 L of water. A solution of a concentration 0.03 kg of salt per liter enters a tank at the rate 7 Umin. The...
(1 point) A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt per liter enters a tank at the rate 7 L/min. The solution is mixed and drains from the tank at the same rate. (a) What is the concentration of our solution in the tank initially? concentration = !!! (kg/L) (b) Set up an initial value problem for the quantity y, in kg, of salt in the tank...
A tank contains 100L of water. A solution with a salt concentration of 0.6kg/L is added at a rate of 7L/min. The solution is kept thoroughly mixed and is drained from the tank at a rate of 5L/min. Answer the following questions. 1. If is the amount of salt (in kilograms) after t minutes, what is the differential equation for which y is satisfied? Use the variable y for y(t). Answer (in kilograms per minute): dy/dt = 4.2-(5y/100+2t) 2. How...
-2t A tank initially contains 10 liters of water and 5 grams of salt. Salt water containing 3+ e grams of salt per liter is pumped into the tank at a rate of 2 liters per minute. The solution of salt water is instantaneously, perfectly mixed and then pumped out at a rate of 2 liters per minute. Determine when, to three decimal places, the concentration of the salt leaving the tank is within 0.01 grams/liter of the salt entering...
(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 Tank 1 12 Tank 2 '3 (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 =...
Previous Problem Problem List Next Problem (1 point) A tank contains 60 kg of salt and 1000 L of water. Pure water enters a tank at the rate 12 L/min. The solution is mixed and drains from the tank at the rate 6 L/min. (a) Write an initial value problem for the amount of salt, y, in kilograms, at time t in minutes: !!! (kg/min) y(0) = 60 !!! kg (b) Solve the initial value problem in part (a) y(t)...
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.
(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...
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