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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: v010 L min-1 CA0 = 10 mol L-1 TO = 375 K Ta = 350 K a EA,1 = 25 kJ mol-1 UA 30 J (K*s)-1 ko = 0.5 s-1 Cp,A 20 J (mol*K)-1| AHrxn(298 K) = -10 kJ mol-1 Cp, B = 10 J (mol*K)-1 V = 160 L Cp,l=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. c) Plot the heat removal as a function of temperature (R(T)) accurately and estimate the operating temperature using the version of the plot below. 12,000 G(T) or R(T), J/mol 10,000 8,000 6,000 4,000 2,000 0 200 250 300 350 400 450 500 550 600 650 700 750 800 850 900 Temperature, K d) The steady-state conversion at that reaction temperature is 0.4. A short time later, the conversion increases to 0.82! You check the inlet temperatures, and they are still 375 and 350 K for the reactor and cooling fluid, respectively. Provide a plausible explanation of what happened and describe what parameter(s) have changed and to what values. Plot the new R(T) curve, clearly label both curves to avoid confusion.

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: v010 L min-1 CA0 = 10 mol L-1 TO = 375 K Ta = 350 K a EA,1 = 25 kJ mol-1 UA 30 J (K*s)-1 ko = 0.5 s-1 Cp,A 20 J (mol*K)-1| AHrxn(298 K) = -10 kJ mol-1 Cp, B = 10 J (mol*K)-1 V = 160 L Cp,l=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. c) Plot the heat removal as a function of temperature (R(T)) accurately and estimate the operating temperature using the version of the plot below. 12,000 G(T) or R(T), J/mol 10,000 8,000 6,000 4,000 2,000 0 200 250 300 350 400 450 500 550 600 650 700 750 800 850 900 Temperature, K d) The steady-state conversion at that reaction temperature is 0.4. A short time later, the conversion increases to 0.82! You check the inlet temperatures, and they are still 375 and 350 K for the reactor and cooling fluid, respectively. Provide a plausible explanation of what happened and describe what parameter(s) have changed and to what values. Plot the new R(T) curve, clearly label both curves to avoid confusion.

Introduction to Chemical Engineering Thermodynamics
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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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: v010 L min-1 CA0 = 10 mol L-1 TO = 375 K Ta = 350 K a EA,1 = 25 kJ mol-1 UA 30 J (K*s)-1 ko = 0.5 s-1 Cp,A 20 J (mol*K)-1| AHrxn(298 K) = -10 kJ mol-1 Cp, B = 10 J (mol*K)-1 V = 160 L Cp,l=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. c) Plot the heat removal as a function of temperature (R(T)) accurately and estimate the operating temperature using the version of the plot below. 12,000 G(T) or R(T), J/mol 10,000 8,000 6,000 4,000 2,000 0 200 250 300 350 400 450 500 550 600 650 700 750 800 850 900 Temperature, K d) The steady-state conversion at that reaction temperature is 0.4. A short time later, the conversion increases to 0.82! You check the inlet temperatures, and they are still 375 and 350 K for the reactor and cooling fluid, respectively. Provide a plausible explanation of what happened and describe what parameter(s) have changed and to what values. Plot the new R(T) curve, clearly label both curves to avoid confusion.
Transcribed Image Text: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: v010 L min-1 CA0 = 10 mol L-1 TO = 375 K Ta = 350 K a EA,1 = 25 kJ mol-1 UA 30 J (K*s)-1 ko = 0.5 s-1 Cp,A 20 J (mol*K)-1| AHrxn(298 K) = -10 kJ mol-1 Cp, B = 10 J (mol*K)-1 V = 160 L Cp,l=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. c) Plot the heat removal as a function of temperature (R(T)) accurately and estimate the operating temperature using the version of the plot below. 12,000 G(T) or R(T), J/mol 10,000 8,000 6,000 4,000 2,000 0 200 250 300 350 400 450 500 550 600 650 700 750 800 850 900 Temperature, K d) The steady-state conversion at that reaction temperature is 0.4. A short time later, the conversion increases to 0.82! You check the inlet temperatures, and they are still 375 and 350 K for the reactor and cooling fluid, respectively. Provide a plausible explanation of what happened and describe what parameter(s) have changed and to what values. Plot the new R(T) curve, clearly label both curves to avoid confusion.
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