1. The elementary gas-phase reaction A+B+2C is carried out in a packed-bed reactor. The entering molar flow rates are FA-5 mol/s, F-2 FAO, and Fr-2FAO, with CA0-02 mol/dm³. The entering temperature is 325 K. Additional Information: CPA CPI CIC 20 cal/mol/K, k-0.0002 dm/(kg-mol-s) @ 300K CP-20 cal/mol/K, a-0.00015 kg¹, E-25 kcal/mol AHR -20 kcal/mol @298K, Ke-1000@ 305K (a) Write the mole balance, the rate law, Kc as a function of T, k as a function of T, and CA, CBI, Ce as a function of X, p, and T. (b) Write the rate law as a function of X, p, and T. (c) Show the equilibrium conversion is 3K X₂ = 3KG 2.2K (K-1) 2(K-1) and then plot Xe vs. T. (d) What are e, Cpi, ACP? (e) Write the energy balance for adiabatic operation. (f) Plot and then analyze Xe, X, p, and T versus W when the reaction is carried out adiabatically. Describe why the profiles look the way they do.

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
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1. The elementary gas-phase reaction
A + B + 2C
is carried out in a packed-bed reactor. The entering molar flow rates are FA-5 mol/s, F= 2 FAO,
and Fx = 2FAO, with CAO-02 mol/dm³. The entering temperature is 325 K.
Additional Information:
CPA-CPR-CIC=20 cal/mol/K, k = 0.0002 dm/(kg-mol-s) @ 300K
CPI = 20 cal/mol/K, a=0.00015 kg¹, E = 25 kcal/mol
AHR=-20 kcal/mol @298K, Ke-1000@ 305K
(a) Write the mole balance, the rate law, Kc as a function of T, k as a function of T, and CA, CB,
C, as a function of X, p, and T.
(b) Write the rate law as a function of X, p, and T.
(c) Show the equilibrium conversion is
X₂ =
3K-3KG2-2K (K-1)
2(K-1)
4
and then plot Xe vs. T.
(d) What are Σ, Cpi, ACP?
(e) Write the energy balance for adiabatic operation.
(f) Plot and then analyze Xe, X, p, and T versus W when the reaction is carried out adiabatically.
Describe why the profiles look the way they do.
Transcribed Image Text:1. The elementary gas-phase reaction A + B + 2C is carried out in a packed-bed reactor. The entering molar flow rates are FA-5 mol/s, F= 2 FAO, and Fx = 2FAO, with CAO-02 mol/dm³. The entering temperature is 325 K. Additional Information: CPA-CPR-CIC=20 cal/mol/K, k = 0.0002 dm/(kg-mol-s) @ 300K CPI = 20 cal/mol/K, a=0.00015 kg¹, E = 25 kcal/mol AHR=-20 kcal/mol @298K, Ke-1000@ 305K (a) Write the mole balance, the rate law, Kc as a function of T, k as a function of T, and CA, CB, C, as a function of X, p, and T. (b) Write the rate law as a function of X, p, and T. (c) Show the equilibrium conversion is X₂ = 3K-3KG2-2K (K-1) 2(K-1) 4 and then plot Xe vs. T. (d) What are Σ, Cpi, ACP? (e) Write the energy balance for adiabatic operation. (f) Plot and then analyze Xe, X, p, and T versus W when the reaction is carried out adiabatically. Describe why the profiles look the way they do.
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