The irreversible, elementary, liquid-phase, exothermic reaction: A → 2 B    k1 occurs in a CSTR with a cooling jacket. The feed is an equimolar mixture of A and I (an inert). Additional Information:  v0 = 10 L min−1 EA,1 = 25 kJ mol−1 UA = 30 J (K*s)−1 CA0 = 10 mol L−1 ko = 0.5 s−1 Cp,A = 20 J (mol*K)−1 T0 = 375 K ΔHrxn(298 K) = -10 kJ mol−1 Cp,B = 10 J (mol*K)−1 Ta = 350 K V = 160 L Cp,I = 5 J (mol*K)−1 a) Express the reaction rate as a function of X, T, and known constants b) Write the two equations necessary to solve for X and T. Do not solve theseequations. These equations should be written only in terms of X and T, meaning you need tosubstitute values and units (including unit conversions) for all other parameters and constants.

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
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The irreversible, elementary, liquid-phase, exothermic reaction:

A → 2 B    k1

occurs in a CSTR with a cooling jacket. The feed is an equimolar mixture of A and I (an inert).

Additional Information: 

v0 = 10 L min−1

EA,1 = 25 kJ mol−1

UA = 30 J (K*s)−1

CA0 = 10 mol L−1

ko = 0.5 s−1

Cp,A = 20 J (mol*K)−1

T0 = 375 K

ΔHrxn(298 K) = -10 kJ mol−1

Cp,B = 10 J (mol*K)−1

Ta = 350 K

V = 160 L

Cp,I = 5 J (mol*K)−1

a) Express the reaction rate as a function of X, T, and known constants

b) Write the two equations necessary to solve for X and T. Do not solve these
equations. These equations should be written only in terms of X and T, meaning you need to
substitute values and units (including unit conversions) for all other parameters and constants.

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