CAi CBi Va Vb Tai Tbi Vc Te CA CB In the CSTR shown above CAi and CBi denotes inlet concentrations reactant A and B. Va and Vb and Vc denotes inlet and outlet volumetric flow rates from inlet and outlet streams and V denotes the volume of the reactor content , since the two inlet streams are not pure A and B, there is also inert in these two streams with a concentration of C and C. There is an elementary exothermic chemical reaction between A and B as shown below: A+B ----C In the figure shown above Cc, CA , CB ,C denotes outlet stream concentrations of A,B,C and inert stream. In order to keep the reactor at constant temperature, heat is applied to the reactor. Q denotes heat input to the coil. Te denotes the temperature of the heating element in the coil. Assume that you want to control volume of reactor contents, reactor temperature and the concentration of C. The thermal capacitance of heating element is not negligible and assume that the density is constant in this system. a) Derive all necessary differential equations and perform a degree of freedom analysis for this system. b) Lets say the reactor and the reaction volume is kept at 70°C and 0.1 m³. The reaction rate constant is 1m³/mol. The nominal values of CAi and CBi is 0.5 mol/m3. The nominal values of Va, Vb is 0,1m³/min. Lets say suddenly CA, and Vb dropped to 0.3 mol/m and 0.05 m/min. Determine the change in concentration of C with respect to time. Hint: Becareful that there are two variables changing CAi and Vb. Try to derive a design equation in terms of Cc, Derive molar flow rates of A and B in terms of Cc, Va and Vb.
CAi CBi Va Vb Tai Tbi Vc Te CA CB In the CSTR shown above CAi and CBi denotes inlet concentrations reactant A and B. Va and Vb and Vc denotes inlet and outlet volumetric flow rates from inlet and outlet streams and V denotes the volume of the reactor content , since the two inlet streams are not pure A and B, there is also inert in these two streams with a concentration of C and C. There is an elementary exothermic chemical reaction between A and B as shown below: A+B ----C In the figure shown above Cc, CA , CB ,C denotes outlet stream concentrations of A,B,C and inert stream. In order to keep the reactor at constant temperature, heat is applied to the reactor. Q denotes heat input to the coil. Te denotes the temperature of the heating element in the coil. Assume that you want to control volume of reactor contents, reactor temperature and the concentration of C. The thermal capacitance of heating element is not negligible and assume that the density is constant in this system. a) Derive all necessary differential equations and perform a degree of freedom analysis for this system. b) Lets say the reactor and the reaction volume is kept at 70°C and 0.1 m³. The reaction rate constant is 1m³/mol. The nominal values of CAi and CBi is 0.5 mol/m3. The nominal values of Va, Vb is 0,1m³/min. Lets say suddenly CA, and Vb dropped to 0.3 mol/m and 0.05 m/min. Determine the change in concentration of C with respect to time. Hint: Becareful that there are two variables changing CAi and Vb. Try to derive a design equation in terms of Cc, Derive molar flow rates of A and B in terms of Cc, Va and Vb.
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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Transcribed Image Text:CAi
CBi
Va
Vb
Tai
Tbi
CC
Vc
Te
CA
Св
In the CSTR shown above CAi and CBi denotes inlet concentrations reactant A and B. Va and Vb and
Vc denotes inlet and outlet volumetric flow rates from inlet and outlet streams and V denotes the
volume of the reactor content , since the two inlet streams are not pure A and B, there is also inert in
these two streams with a concentration of C and C. There is an elementary exothermic chemical
reaction between A and B as shown below:
A+B ----C
In the figure shown above Cc. CA , CB ,C denotes outlet stream concentrations of A,B,C and inert
stream. In order to keep the reactor at constant temperature, heat is applied to the reactor. Q denotes
heat input to the coil. Te denotes the temperature of the heating element in the coil. Assume that you
want to control volume of reactor contents, reactor temperature and the concentration of C. The
thermal capacitance of heating element is not negligible and assume that the density is constant in
this system.
a) Derive all necessary differential equations and perform a degree of freedom analysis for this
system.
b) Lets say the reactor and the reaction volume is kept at 70°C and 0.1 m3. The reaction rate
constant is 1m/mol. The nominal values of CAi and CBi is 0.5 mol/m3. The nominal values of
Va, Vb is 0,1m³/min. Lets say suddenly CA, and Vb dropped to 0.3 mol/m and 0.05 m/min.
Determine the change in concentration of C with respect to time.
Hint: Becareful that there are two variables changing CAi and Vb. Try to derive a design
equation in terms of Cc, Derive molar flow rates of A and B in terms of Cc, Va and Vb.
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