Answered: For T = 500 K: t (days) 40 80 20 60 120…

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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Question

The decomposition of spartanol to wulfrene and CO₂is often carried out at high temperatures[J. Theor. Exp., 15, 15 (2014)]. Consequently, the denominator of the catalytic rate law is easily approximated as unity, and the reaction is first order with an activation energy of 150 kJ/mol Fortunately, the reaction is irreversible. Unfortunately, the catalyst over which the reaction occurs decays with time on stream. The following conversion-time data were obtained in a differential reactor:

(a) If the initial temperature of the catalyst is 480 K, determine the temperature–time trajectory to maintain a constant conversion.

(b) What is the catalyst lifetime?

For T = 500 K:
t (days)
40
80
20
60
120
X (%)
0.7 0.56 0.45
0.38
0.29
For T = 550 K:
1 (days)
10
15
20
30
40
X (%)
2
1.2
0.89
0.69
0.57
0.42
0.33

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