The elementary irreversible gas-phase catalytic reactionis carried out isothermally in a b...

The elementary irreversible gas-phase catalytic reaction

is carried out isothermally in a batch reactor. The catalyst deactivation follovvs a first-order decay lavv and is independent of the concentrations of both A and B.

(a) Determine a general expression for catalyst activity as a fıınction of time.

(b) Make a qualitative sketch of catalyst activity as a function of time. Does a(t) ever eqııal zero for a first-order decay law?

(c) Write out the general algorithm and derive an expression for conversion as a function of time, the reactor parameters, and the catalyst parameters. Fiil in the follovving algorithm

Mole balance

Rate law

Decay law

Stoichiometry

Combine

Solve

1. Separate

2. Integrate

(d) Calculate the conversion and catalyst activity in the reactor after 10 miıı-utes at 300 K.

(e) How would you expect your results in parts (b) and (d) to change if the reaction vvere rıın at 400 K? Briefly describe the trends qualitatively.

(f) Calculate the conversion and catalyst activity in the reactor after 10 min-utes if the reaction vvere rıın at 400 K instead of 300 K. Do your results match the predictions in part (e)?

Additional Information:

CA0 = 1 mol/dm3

V() = 1 dm3

W = 1 kg

kd = 0.1 min-1 at 300 K Ed/R = 2000 K

k1 = 0.2 dm3/(kg cat • min) at 300 K EA/R = 500 K