The elementary gas-phase reaction(CH3)3 COOC(CH)3 → C2H6 + 2CH3COCH3is carried out isother...

The elementary gas-phase reaction

(CH3)3 COOC(CH)3 → C2H6 + 2CH3COCH3

is carried out isothermally in a flow reactor with no pressure drop. The specific reaction rate at 50 °C is 10~4 min”1 (from pericosity data) and the activation energy is 85 kJ/mol. Pure di-/e;7-butyl peroxide enters the reactor at 10 atm and I27°C and a molar flow rate of 2.5 mol/min. Calculate the reactor volume and space time to achieve 90% conversion in:

(a) a PFR

(b) a CSTR

(c) Pressure drop. Plot X, y, as a function of the PFR volume when a = 0.001 dm”3. What are X and y at V = 500 dm3?

(d) Write a question that requires critical thinking, and explain why it involves critical thinking.

(e) If this reaction is to be carried out isothermally at I27°C and an initial pressure of 10 atm in a constant-volume batch mode with 90% conversion, what reactor size and cost would be required to process (2.5 mol/min X 60 min/h X 24 h/day) 3600 mol of di-fert-butyl peroxide per day? (Hint: Recall Table 4–1.)

(f) Assume that the reaction is reversible with Kc = 0.025 mol2/dm6, and calculate the equilibrium conversion; then redo (a) through (c) to achieve a conversion that is 90% of the equilibrium conversion.

(g) Membrane reactor. Repeat Part (f) for the case when C2H6 flows out through the sides of the reactor and the transport coefficient is kc = 0.08 s-1.