The reaction A -> B is carried out in a laboratory

Chapter 3, Problem 3.31

(choose chapter or problem)

The reaction A -> B is carried out in a laboratory reactor. According to a published article the concentration of A should vary with time as follows: CA = CAoexp(-kl) where CAO is the initial concentration of A in the reactor and k is a constant. (a) If CA and CAO are in lb-moles/ft3 and I is in minutes, what are the units of k? (b) The following data are taken for CA(t): I(min) 0.5 1.0 1.5 2.0 3.0 5.0 10.0 CA(Ib-mole/ft)) 1.02 0.84 0.69 0.56 0.38 0.17 0.02 Verify the proposed rate law graphically (first determine what plot should yield a straight line), and calculate CAo and k. (c) Convert the formula with the calculated constants included to an expression for the molarity of A in the reaction mixture in terms of I(seconds). Calculate the molarity at I = 200 s.