Consider the mixing process shown in the figure. A mixing chamber initially contains 2 liters of a clear liquid. Clear liquid flows into the chamber at a rate of 10 liters per minute. A dye solution having a concentration of 0.4 kilograms per liter is injected into the mixing chamber at a constant rate of rr liters per minute. When the mixing process is started, the well-stirred mixture is pumped from the chamber at a rate of 10+r liters per minute. (a) Develop a mathematical model for the mixing process. Let Q represent the amount of dye in kilograms in the mixture.kg/min The objective is to obtain a dye concentration in the outflow mixture of 0.25 kilograms per liter. What injection rate r is required to achieve this equilibrium solution?L/min Assume the mixing chamber contains 2 liters of clear liquid at time t=0t=0. How many minutes will it take for the outflow concentration to rise to within 1% of the desired concentration of 0.25 kilograms per liter?
Consider the mixing process shown in the figure. A mixing chamber initially contains 2 liters of a clear liquid. Clear liquid flows into the chamber at a rate of 10 liters per minute. A dye solution having a concentration of 0.4 kilograms per liter is injected into the mixing chamber at a constant rate of rr liters per minute. When the mixing process is started, the well-stirred mixture is pumped from the chamber at a rate of 10+r liters per minute.
(a) Develop a mathematical model for the mixing process. Let Q represent the amount of dye in kilograms in the mixture.kg/min
The objective is to obtain a dye concentration in the outflow mixture of 0.25 kilograms per liter. What injection rate r is required to achieve this equilibrium solution?L/min
Assume the mixing chamber contains 2 liters of clear liquid at time t=0t=0. How many minutes will it take for the outflow concentration to rise to within 1% of the desired concentration of 0.25 kilograms per liter?
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