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: C_A = C_AO exp (? kt) where C_AO is the initial concentration of A in the reactor and k is a constant.

(a) If C_A and C_AO are in lb-moles/ft³ and t is in minutes, what are the units of k?

(b) The following data are taken for CA (t); Verify the proposed rate law graphically (first determine what plot should yield a straight line), and calculate C_AO and k.

(c) Convert the formula with the calculated constants included to an expression for the morality of A in the reaction mixture in terms of t (seconds). Calculate the morality at t = 200s.?

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t(min) 0.5 1.0 1.5 2.0 3.0 5.0 10.0 CA (lb-mole/ft³) 1.02 0.84 0.69 0.56 0.38 0.17 0.02