Develop the dynamic modeling equations for the concentration of A in the product stream as a function of time for the specified flow rates for the feed and the recycle stream for the two mixing tanks shown in the figure below. Note that all the Fs are expressed as volumetric flow rates and both flow controllers have the same dynamic response, which is described by Tv (5 s). Assume perfect level control for both tanks and assume that both tanks are perfectly mixed and have the same holdup of liquid of volume V (100 L). The analyzer on the product stream are IR based analyzers and have a time constant of 30 s for their measurements. Identify the dependent variables, the independent variables and the paraemeters for this model. Initially, the feed composition and the composition in both tanks have a concentration of 1 gmol/L. At time equal to zero, the (FF)spec is decreased from 100 L/min to 90 L/min, (FR)spec is decreased from 50 L/min to 45 L/min and the feed composition increases to 1.2 gmol/L. Using a MATLAB program to apply your model, determine the composition measurement of the product and the composition in the two tanks from time equal to zero to 10 min. spre FF AT CA Figure P3.6.7 Schematic of two tanks with a recycle. Develop the dynamic modeling equations for the concentration of A in the product stream as a function of time for the specified flow rates for the feed and the recycle stream for the two mixing tanks shown in the figure below. Note that all the Fs are expressed as volumetric flow rates and both flow controllers have the same dynamic response, which is described by Tv (5 s). Assume perfect level control for both tanks and assume that both tanks are perfectly mixed and have the same holdup of liquid of volume V (100 L). The analyzer on the product stream are IR based analyzers and have a time constant of 30 s for their measurements. Identify the dependent variables, the independent variables and the paraemeters for this model. Initially, the feed composition and the composition in both tanks have a concentration of 1 gmol/L. At time equal to zero, the (FF)spec is decreased from 100 L/min to 90 L/min, (FR)spec is decreased from 50 L/min to 45 L/min and the feed composition increases to 1.2 gmol/L. Using a MATLAB program to apply your model, determine the composition measurement of the product and the composition in the two tanks from time equal to zero to 10 min. spre FF AT CA Figure P3.6.7 Schematic of two tanks with a recycle
