problem 1) Find the differential equation describing the amount of salt,Qb, in the tank for times...
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...
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...
In a decontamination plant, we have the following tank system: a) Write the differential equation allowing to model the quantity of pollutant in the tank A and solve this differential equation. b) Write the differential equation allowing to model the variation of the volume in the tank B. c) Write the differential equation allowing to model the quantity of pollutant in the tank B and solve this differential equation. d) When does the volume of tank B reach 200 liters?...
please solve all three questions, will upvote thank you 1) A tank contains 200 gallons of water in which 50 pounds of salt are dissolved. A brine solution containing 4 pounds of salt per gallon is pumped into the tank at the rate of 6 gallons per minute. The mixture is stirred well and is pumped out of the tank at the same rate. Let A(t) represent the amount of salt in the tank at time t a) Write down...
TANKA TANKB Figure 1 Figure 1 shows a mixture problem having 2 tanks of Tank A and Tank B. Suppose x(t) and y(t) represent the amount of salt in tank A and tank B respectively in which the two tanks are connected to each other. Tank A contains 800 liters of water initially containing 20 grams of salt dissolved in it and tank B contains 1000 liters of water and initially has 80 grams of salt dissolved in it. Salt...
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)...
(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) 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...
DIFFERENTIAL EQUATIONS WEBWORK PROBLEM If you can't read the picture: Consider two interconnected tanks as shown in the figure above. Tank 1 initial contains 10 L (liters) of water and 215 g of salt, while tank 2 initially contains 90 L of water and 355 g of salt. Water containing 50 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 45 g/L of salt...
3. Consider a tank which initially contains V litres of water and Qo kilograms of salt. Suppose that a new mixture of brine at a concentration of k kg per litre is poured into the tank, the contents of the vat are thoroughly mixed, and the contents of the tank are drained at the same rate. Unlike the model we studied in class, however, now assume that the rate of inflow and outflow is proportional to the length of time...