P5-12, The elementary gas-phase reaction (CH3),COOC(CH;),→C,H6 + 2CH;COCH, is carried out isothermally in a flow reactor with no pressure drop. The spe- cific reaction rate at 50°C is 10-4 min-' (from pericosity data) and the acti- vation energy is 85 kJ/mol. Pure di-tert-butyl peroxide enters the reactor at 10 atm and 127°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 [Ans.: 967 dm³] (b) a CSTR [Ans.: 4700 dm³] (c) Pressure drop. Plot and analyze 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) Apply one or more of the six ideas in Table P-3, page xiii to this problem. (e) If this reaction is to be carried out isothermally at 127°C and an initial pressure of 10 atm in a constant-volume batch mode with 90% conver- sion, what reactor size and cost would be required to process (2.5 mol/min X 60 min/h × 24 h/day) 3600 mol of di-tert-butyl peroxide per day? [Hint: Recall Table 4-1.]
P5-12, The elementary gas-phase reaction (CH3),COOC(CH;),→C,H6 + 2CH;COCH, is carried out isothermally in a flow reactor with no pressure drop. The spe- cific reaction rate at 50°C is 10-4 min-' (from pericosity data) and the acti- vation energy is 85 kJ/mol. Pure di-tert-butyl peroxide enters the reactor at 10 atm and 127°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 [Ans.: 967 dm³] (b) a CSTR [Ans.: 4700 dm³] (c) Pressure drop. Plot and analyze 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) Apply one or more of the six ideas in Table P-3, page xiii to this problem. (e) If this reaction is to be carried out isothermally at 127°C and an initial pressure of 10 atm in a constant-volume batch mode with 90% conver- sion, what reactor size and cost would be required to process (2.5 mol/min X 60 min/h × 24 h/day) 3600 mol of di-tert-butyl peroxide per day? [Hint: Recall Table 4-1.]
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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answer letter e only. do not type the answers please.
![P5-12, The elementary gas-phase reaction
(CH3),COOC(CH;),→C,H6 + 2CH;COCH,
is carried out isothermally in a flow reactor with no pressure drop. The spe-
cific reaction rate at 50°C is 10-4 min-' (from pericosity data) and the acti-
vation energy is 85 kJ/mol. Pure di-tert-butyl peroxide enters the reactor at
10 atm and 127°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 [Ans.: 967 dm³]
(b) a CSTR [Ans.: 4700 dm³]
(c) Pressure drop. Plot and analyze 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) Apply one or more of the six ideas in Table P-3, page xiii to this problem.
(e) If this reaction is to be carried out isothermally at 127°C and an initial
pressure of 10 atm in a constant-volume batch mode with 90% conver-
sion, what reactor size and cost would be required to process (2.5 mol/min
X 60 min/h × 24 h/day) 3600 mol of di-tert-butyl peroxide per day?
[Hint: Recall Table 4-1.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b4e439c-fed2-44bf-b736-6c3c22a33013%2F71702dde-07c3-4eb7-88c9-a9100da1a1e9%2Fbnsbzc9_processed.png&w=3840&q=75)
Transcribed Image Text:P5-12, The elementary gas-phase reaction
(CH3),COOC(CH;),→C,H6 + 2CH;COCH,
is carried out isothermally in a flow reactor with no pressure drop. The spe-
cific reaction rate at 50°C is 10-4 min-' (from pericosity data) and the acti-
vation energy is 85 kJ/mol. Pure di-tert-butyl peroxide enters the reactor at
10 atm and 127°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 [Ans.: 967 dm³]
(b) a CSTR [Ans.: 4700 dm³]
(c) Pressure drop. Plot and analyze 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) Apply one or more of the six ideas in Table P-3, page xiii to this problem.
(e) If this reaction is to be carried out isothermally at 127°C and an initial
pressure of 10 atm in a constant-volume batch mode with 90% conver-
sion, what reactor size and cost would be required to process (2.5 mol/min
X 60 min/h × 24 h/day) 3600 mol of di-tert-butyl peroxide per day?
[Hint: Recall Table 4-1.]
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