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please help me with this asap 08 - A 200-liter tank initially contains 40 liters of...
5. (20 points) A tank with a capacity of 500 liters contains 200 liters of water with 100 grams of a material in solution. Water containing a concentration of 1 g/liter of the material enters the tank at a rate of 3 liters/min, and the well-stirred mixture leaves the tank at a rate of 2 liters/min. Find the amount of mass of the material in the tank at any given time t prior to when the tank begins to overflow.
Select the best alternative 1. (6 points) A 100-liter tank initially contains 40 liters of water with 4 grams of dissolved sodium chloride. A solution of 1 gram per liter of sodium chloride flows into the tank at the rate of 3 liters per minute. Both solutions mix perfectly. The mixture is extracted by means of a pump at a rate of 5 liters per second. Let ? (?) be the mass of sodium chloride present in the tank at...
A Water Tank Problem with Discontinuous Source A water tank contains V, > 0 liters of pure water and Qo grams of salt. At time t = 0 we start pouring water into the tank with a rate r > 0 liters per minute with a salt concentration of q> 0 grams per litter, and we let the well-stirred water leave the tank at the same rate. After T > 0 minutes the process is stopped and fresh water is...
-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...
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.
(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 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 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.
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...
a tank with 500 liters of water initially contains 4g of calcium. Water with a concentration of 3 mg/L is pumped into the tank at a rate of 1L/min and the mixture is pumped out at the same rate. (a) Write a differential equation and its initial condition for, y(t), the total amount of calcium in grams in the tank. (t is measured in minutes, 1g = 1000mg) (b) Find the general solution to this differential equation. (c) Find the...