The elementary reversible liquid-phase reaction takes place in a CSTR with a heat exchanger. Pure A enters the reactor. a. Derive an expression (or set of expressions) to calculate G(T) as a function of the heat of reaction, equilibrium constant, temperature, and so on. Show a sample calculation for G(T) at T= 400 K. b. What are the steady-state temperatures? c. Which steady states are locally stable? d. What is the conversion corresponding to the upper steady state? e. Vary the ambient temperature Ta and make a plot of the reactor temperature as a function of Ta. A<---->B f. If the heat exchanger in the reactor suddenly fails (i.e., UA= 0), what would be the conversion and the reactor temperature when the new upper steady state is reached? UA= 3600 cal/min. K CPCP = 40 cal/mol K AHR = -80000 cal/mol A Kc = 100 at 400 K k = 1 min-¹ at 400 K Ambient temperature, T = 37°C E/R= 20000 K V = 10 dm³ Vo = 1 dm³/min FAO = 10 mol/min Feed temperature, To = 37°C

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 elementary reversible liquid-phase reaction takes place in a CSTR with a heat
exchanger. Pure A enters the reactor.
A<----
a. Derive an expression (or set of expressions) to calculate G(T) as a function of
the heat of reaction, equilibrium constant, temperature, and so on. Show a
sample calculation for G(T) at T= 400 K.
b. What are the steady-state temperatures?
c. Which steady states are locally stable?
d. What is the conversion corresponding to the upper steady state?
e. Vary the ambient temperature Ta and make a plot of the reactor temperature
is reached?
as a function of Ta.
f. If the heat exchanger in the reactor suddenly fails (i.e., UA= 0), what would be
the conversion and the reactor temperature when the new upper steady state
UA = 3600 cal/min. K
=
CPCP = 40 cal/mol. K
>B
AHRX = -80000 cal/mol A
Кс 100 at 400 K
k = 1 min-1 at 400 K
Ambient temperature, T₁ = 37°C
E/R= 20000 K
V = 10 dm³
Vo = 1 dm³/min
FAO = 10 mol/min
Feed temperature, To = 37°C
Transcribed Image Text:The elementary reversible liquid-phase reaction takes place in a CSTR with a heat exchanger. Pure A enters the reactor. A<---- a. Derive an expression (or set of expressions) to calculate G(T) as a function of the heat of reaction, equilibrium constant, temperature, and so on. Show a sample calculation for G(T) at T= 400 K. b. What are the steady-state temperatures? c. Which steady states are locally stable? d. What is the conversion corresponding to the upper steady state? e. Vary the ambient temperature Ta and make a plot of the reactor temperature is reached? as a function of Ta. f. If the heat exchanger in the reactor suddenly fails (i.e., UA= 0), what would be the conversion and the reactor temperature when the new upper steady state UA = 3600 cal/min. K = CPCP = 40 cal/mol. K >B AHRX = -80000 cal/mol A Кс 100 at 400 K k = 1 min-1 at 400 K Ambient temperature, T₁ = 37°C E/R= 20000 K V = 10 dm³ Vo = 1 dm³/min FAO = 10 mol/min Feed temperature, To = 37°C
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