Problem 1 – Consider the same system of reactions of three reactions in parallel discussed in class (i.e., Example 8-1, page 302). Write down the expression of instantaneous yield of B (that is, YB) in terms of the three rate constants and the concentration of A. Determine the concentration of A that YB reaches maximum. Example 8–1 Maximizing the Selectivity for the Famous Trambouze Reactions Reactant A decomposes by three simultaneous reactions to form three products, one that is desired, B, and two that are undesired, X and Y. These liquid-phase reactions, along with the appropriate rate laws, are called the Trambouze reactions (AICHE J., 5, 384). mol -TIA=rx= kj = 0.0001- dm.s (zero order) 1) A → X %3D 2) A → B -r2= rg= k,C,= (0.0015 s¯)C, (first order) k3 3) Y -T3A=ry= k;C;=(0.008 dm² (second order) mol·s, The specific reaction rates are given at 300 K and the activation energies for reactions (1), (2), and (3) are E¡ = 10,000 cal/mole, E, = 15,000 cal/mole, and E3 = 20,000 cal/mole.

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
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Chapter1: Introduction
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Problem 1 –
Consider the same system of reactions of three
reactions in parallel discussed in class (i.e., Example 8-1, page 302). Write down the
expression of instantaneous yield of B (that is, YB) in terms of the three rate constants and
the concentration of A. Determine the concentration of A that YB reaches maximum.
Example 8–1 Maximizing the Selectivity for the Famous Trambouze Reactions
Reactant A decomposes by three simultaneous reactions to form three products,
one that is desired, B, and two that are undesired, X and Y. These liquid-phase
reactions, along with the appropriate rate laws, are called the Trambouze reactions
(AICHE J., 5, 384).
ki
-IA= rx= k, = 0.0001_mol
dm’.s
1)
A –
→ X
(zero order)
k2
-1,
2)
A –
→ B
-r2A= rg= k½Cg= (0.0015 s)C,
(first order)
dm
mol ·s,
3
k3
A –→ Y
Y -rA=ry= k;C;= (0.008-
3)
(second order)
The specific reaction rates are given at 300 K and the activation energies for reactions
(1), (2), and (3) are E, = 10,000 cal/mole, E2 = 15,000 cal/mole, and E,= 20,000 cal/mole.
Transcribed Image Text:Problem 1 – Consider the same system of reactions of three reactions in parallel discussed in class (i.e., Example 8-1, page 302). Write down the expression of instantaneous yield of B (that is, YB) in terms of the three rate constants and the concentration of A. Determine the concentration of A that YB reaches maximum. Example 8–1 Maximizing the Selectivity for the Famous Trambouze Reactions Reactant A decomposes by three simultaneous reactions to form three products, one that is desired, B, and two that are undesired, X and Y. These liquid-phase reactions, along with the appropriate rate laws, are called the Trambouze reactions (AICHE J., 5, 384). ki -IA= rx= k, = 0.0001_mol dm’.s 1) A – → X (zero order) k2 -1, 2) A – → B -r2A= rg= k½Cg= (0.0015 s)C, (first order) dm mol ·s, 3 k3 A –→ Y Y -rA=ry= k;C;= (0.008- 3) (second order) The specific reaction rates are given at 300 K and the activation energies for reactions (1), (2), and (3) are E, = 10,000 cal/mole, E2 = 15,000 cal/mole, and E,= 20,000 cal/mole.
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