Additional Homework Problems

CDP6-BB

The reaction
     
   

IMAGE 06eq3.gif

     
   

is carried out in a batch reactor in which there is pure A initially.

(a) Derive an equation for the concentration of A as a function of time. If k 1= 0.001 s -1 , what is the ratio C A/ C A0 after 1.5 min?
(b) Derive an equation that gives the concentration of B as a function of time. If k 2 = 0.00 3 s -1 , k 3 = 0.002 s -1 , and C A0 = 0.2 g mol/dm 3 , what is the concentration of B after 2 min?
(c) What is the concentration of C after 1 min? 2 min?
(d) Sketch the concentrations andas functions of time. At what time is the concentration of B at a maximum?
(e) If the series reaction is carried out in a CSTR, determine the reactor volume that will maximize the production of B for a volumetric flow rate of 20 dm 3 / min.

[2nd Ed. P9-12]