Question

In: Advanced Math

Two tanks contain a mixture of water and alcohol with tank A contain- ing 500 L...

Two tanks contain a mixture of water and alcohol with tank A contain- ing 500 L and tank B 1000L. Initially, the concentration of alcohol in Tank A is 0% and that of tank B is 80%. Solution leaves tank A into B at a rate of 15 liter/min and the solution in tank B returns to A at a rate of 5 L/min while well mixed solution also leaves the system at 10 liter/min through an outlet. A mixture of water and alcohol enters tank A at the rate of 10liter/min with the concentration of 10% through an inlet. What will be the concentration of the alcohol of the solution in each tank after 10 mins?

Solutions

Expert Solution


Related Solutions

Two tanks contain a mixture of water and alcohol with tank A contain- ing 500 L...
Two tanks contain a mixture of water and alcohol with tank A contain- ing 500 L and tank B 1000L. Initially, the concentration of alcohol in Tank A is 0% and that of tank B is 80%. Solution leaves tank A into B at a rate of 15 liter/min and the solution in tank B returns to A at a rate of 5 L/min while well mixed solution also leaves the system at 10 liter/min through an outlet. A mixture...
A 500 L rigid tank contains a saturated water mixture at 200 C as shown: the...
A 500 L rigid tank contains a saturated water mixture at 200 C as shown: the mixture is 40% liquid and 60% vapour by volume (State 1). A valve on top of the tank is opened, and saturated vapor is slowly withdrawn from the tank. Heat transfer occurs during this process such that the temperature in the tank remains constant. The valve is closed when 50 % of the initial mass is withdrawn from the tank (State 2) (a) Determine...
Two tanks each contain 100 gal of water and tank 2 initially has 50 lbs of...
Two tanks each contain 100 gal of water and tank 2 initially has 50 lbs of salt uniformly dissolved in it. An external flow brings adds 5 gal/min to tank 1 with 5 lbs of salt in it. Tank 1 feeds tank 2 at 10 gal/min, and tank 2 feeds back to tank 1 at 5 gal/min. Finally, an exit stream leaves tank 2 at 5 gal/min. 1) Use Laplace transforms to solve the system of ODEs modeling this system...
Consider two interconnected tanks. Tank 1 initial contains 40 L (liters) of water and 160 g...
Consider two interconnected tanks. Tank 1 initial contains 40 L (liters) of water and 160 g of salt, while tank 2 initially contains 20 L of water and 250 g of salt. Water containing 20 g/L of salt is poured into tank1 at a rate of 2 L/min while the mixture flowing into tank 2 contains a salt concentration of 35 g/L of salt and is flowing at the rate of 2.5 L/min. The two connecting tubes have a flow...
A pipe fitted with a closed valve connects two tanks. One tank contains a 5kg mixture...
A pipe fitted with a closed valve connects two tanks. One tank contains a 5kg mixture of 62.5 percent CO2 and 37.5 percent O2 on a mole basis at 30C and 125kpa. The second tank contains 10kg of N2 at 15C and 200kPa. The valve in the pipe is opened and the gases are allowed to mix. During the mixing process 100kJ of heat enrgy is supplied to the combined tanks. Determine the final pressure and temperature of the mixture...
Q. If a 500-L aluminum tank is filled to the brim with water at a temperature...
Q. If a 500-L aluminum tank is filled to the brim with water at a temperature of 22.00 0C. Will the water overflow when temperature cools to 15.00 0C? Assume the aluminum tank volume is also affected by the temperature change
A tank contains 20 kg of salt dissolve in 7000 L of water. Brine that contain...
A tank contains 20 kg of salt dissolve in 7000 L of water. Brine that contain 0.041 kg of salt per liter of water enters the tank at a rate of 25 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. How much Kg salt remains in the tank if as time approaches to infinite?
2.       A tank initially contains 120 L of pure water. A salt mixture containing a concentration of...
2.       A tank initially contains 120 L of pure water. A salt mixture containing a concentration of 1.5 g/L enters the tank at a rate of 2 L/min, and the well-stirred mixture leaves the tank at the same rate. Find an expression for the amount of salt in the tank at any time t. Also, find the limiting amount of salt in the tank as t →∞.
A tank contains a mixture of water and salt, and at all times the solution is...
A tank contains a mixture of water and salt, and at all times the solution is kept will mixed. At time t = 0 there is 10 Liters solution in the tank, with no salt. However, being poured into the tank is a solution containing 2 grams of salt per liter, and it is entering at a rate of 5 liters per minute. Simultaneously we drain our tank at a rate of 3 liters per minute. Find the concentration of...
A tank contains 70 kg of salt and 2000 L of water. Water containing 0.4kg/L of...
A tank contains 70 kg of salt and 2000 L of water. Water containing 0.4kg/L of salt enters the tank at the rate 16L/min. The solution is mixed and drains from the tank at the rate 4L/min. A(t) is the amount of salt in the tank at time t measured in kilograms. (a) A(0) =  (kg) (b) A differential equation for the amount of salt in the tank is  =0=0. (Use t,A, A', A'', for your variables, not A(t), and move everything...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT