Additional Homework Problems

CDP8-LB

A liquid feed to a well-mixed reactor consists of 0.4 g mol/dm3 of A and the same molar concentration of F. The product C is formed from A by two different reaction mechanisms: either by direct transformation or through intermediate B. The intermediate B is also formed from F. Together with C, which remains in solution, an insoluble gas D is formed, which separates in the reactor.

All reaction steps are irreversible and first-order, except for the formation of B from F, which is second-order in F. The liquid carrier for reactants and products is an inert solvent, and no volume change results from the reaction.

k1 = 0.01 min-1 k2 = 0.02 min-1
k3 = 0.07 min-1 k4 = 0.50 dm3/g mol/min

reactor volume = 120 L

  1. What is the maximum possible molar concentration of C in the product?

  2. If the feed rate is 2.0 dm3/min, what is the yield of C (expressed as a percentage of the maximum), and what is the mole fraction of C in the product on a solvent-free basis? (Ans: 0.583)