Additional Homework Problems

CDP13-JB

(Distributions in a stirred tank) Using a negative step tracer input, Cholette and Cloutier [Can. J. Chem. Eng., 37, 107 (1959)] studied the RTD in a tank for different stirring speeds. Their tank had a 30-in. diameter and a fluid depth of 30 in. indide the tank. The inlet and exit flow rates were 1.15 gal/min. Here are some of their tracer results for the relative concentration, C/C0 (courtesy of the Canadian Society for Chemical Engineering):

(a) Calculate and plot the cumulative exit-age distribution, the intensity function, and the internal-age distributions as a function of for this stirred tank at the two impeller speeds. Can you tell anything about the dead zones and bypassing at the different stirrer rates?

(b) What conversion can be expected for a second-order reaction with kCA0 = 0.05/min at 320 K for the segregation model

(c) Repeat part (b) for the maximum mixedness model.

(d) How would your answers to part (b) and (c) change if the reaction were carried out adiabatically with T(K)=320 + 80X and E = 5000 cal/mol?