(1 point) A tank initially contains 25 liters of salt water solution with 10 grams of...
-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.
(1 point) A large tank contains 500 liters of a salt solution which has a concentration of 0.55 kilograms per liter. A salt solution which has a concentration of 0.7 kilograms per liter is added to the solution at a rate of 40 liters per minute. At the same time, the solution drains from the tank at 40 liters per minute. Find the amount of the salt in the solution as a function of t: S = kilograms
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. A tank initially contains 100 gallons of salt solution in which 20 pounds of salt is dissolved. Starting at time 0, a solution containing 3 pounds of salt per gallon flows into the tank at a rate of 4 gallons per minute. The mixture is kept uniform by stirring and the well-mixed solution simultancously flows out of the tank at the same rate. Determine the amount of salt in the tank after 10 minutes, when the amount 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...
A tank initially contains 300 L of water, in which is dissolved 10 kg of salt. A salt water solution containing 0.25L enters the tank at a rate of 4L per minute. Solution leaves the tank at the rate of 6L per minute. Find the concentration of salt in the tank after 100 minutes. C(100) - x kg/L. Enter x in decimal form with 3 decimal digits. Answer:
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...
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.
2. (10 points) An aquarium has a 1000 L tank containing 400 L of salt water with a concentra- tion of 210 grams per liter. A salt water solution with a concentration of 470 grams per liter is pumped into the tank at a rate of 5 liters per minute. The well-mixed solution is drained from the tank at a rate of 3 liters per minute. Additionally, the tank is uncovered, so fresh water evaporates from the tank at a...