Additional Homework Problems

CDP6-DB

(Batch bromination of p-chlorophenyl isopropyl ether) You are in charge of the production of specialty chemicals for your organization and an order comes in for 3 lb of brominated p-chlorophenyl isopropyl ether. You decide to use the technique reported by Bradfield et al. [J. Chem. Soc., 1389 (1949)], who carried out the reaction in 75% acetic acid at 68°F. You have a batch reactor that holds 5 gal (0.670 ft 3 ) of a reacting mixture that can be used. Starting out with a mixture that contains 0.002 lb mol (0.34 lb) of p-chlorophenyl isopropyl ether and 0.0018 lb mol (0.288 lb) of bromine in the 5 gal, you decide to run 10 batches of the mixture to 65% conversion of the p-chlorophenyl isopropyl ether. This procedure will give the desired 3 lb. How long will each batch take?

Additional information:
Kinetics (from Bradfield et al.):

Reaction: IMAGE 04eq06.gif

where A is p-chlorophenyl isopropyl ether, B is bromine, and C is monobrominated product .

Rate Law: IMAGE 04eq07.gif

Specific reaction rates at 68°F:

k 1 = 1.98 ft 3 /lb molmiddotmin
k2 = 9.2 x 10 3 (ft 3 /lb mol) 2middot min -1

[2nd Ed. P4-29]