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1) The feed flow rate to an adiabatic continuous stirred tank reactor (CSTR) in which an exothermic reaction is occurring is increased from 1000 to 1400. kg/h, causing the outlet temperature to change as shown: 90 80 70 70 60 60 T (deg. C) 50 40 40 30 0 20 20 40 40 60 80 100 120 140 160 180 200 Time (min) a) Briefly explain on a physical basis why the temperature in this system oscillates after a step increase in the inlet flow rate. Be clear, complete, and concise. (In-class explanation) b) Use the given data to derive the transfer function in standard form with numbers. Show all steps and key transfer function variables with units derived along the way. (Screencast explanation) c) You know that this oscillating response cannot be that of two first order processes with real time constant acting in series. Assuming the reaction is first order and the CSTR operates with constant holdup, derive the block diagram with all transfer functions indicating how the temperature would respond to the feed flow rate step change (W'(s) as input and I'(s) as output). An intermediate variable in this block diagram will be the concentration of A in the reactor, represented by CA'(s). (Screencast explanation) d) A correct result for part c) will include a feedback loop in the block diagram, indicating the response in T to a change in w is not simply two first order responses acting in series. Without attempting to simplify the block diagram, use what you understand about the loop law together with the oscillating response to draw a conclusion about the sign of some gain or combination of gains in the system. Explain your conclusion clearly, completely, and concisely. (In-class explanation)

1) The feed flow rate to an adiabatic continuous stirred tank reactor (CSTR) in which an exothermic reaction is occurring is increased from 1000 to 1400. kg/h, causing the outlet temperature to change as shown: 90 80 70 70 60 60 T (deg. C) 50 40 40 30 0 20 20 40 40 60 80 100 120 140 160 180 200 Time (min) a) Briefly explain on a physical basis why the temperature in this system oscillates after a step increase in the inlet flow rate. Be clear, complete, and concise. (In-class explanation) b) Use the given data to derive the transfer function in standard form with numbers. Show all steps and key transfer function variables with units derived along the way. (Screencast explanation) c) You know that this oscillating response cannot be that of two first order processes with real time constant acting in series. Assuming the reaction is first order and the CSTR operates with constant holdup, derive the block diagram with all transfer functions indicating how the temperature would respond to the feed flow rate step change (W'(s) as input and I'(s) as output). An intermediate variable in this block diagram will be the concentration of A in the reactor, represented by CA'(s). (Screencast explanation) d) A correct result for part c) will include a feedback loop in the block diagram, indicating the response in T to a change in w is not simply two first order responses acting in series. Without attempting to simplify the block diagram, use what you understand about the loop law together with the oscillating response to draw a conclusion about the sign of some gain or combination of gains in the system. Explain your conclusion clearly, completely, and concisely. (In-class explanation)

Refrigeration and Air Conditioning Technology (MindTap Course List)
Refrigeration and Air Conditioning Technology (MindTap Course List)
8th Edition
ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Chapter45: Domestic Refrigerators And Freezers
Section: Chapter Questions
Problem 20RQ: Welded ______sealed compressors are normally used in household refrigerators.
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answer the questions and explain all of it in words. Ignore where it says screencast and in class explanation

1) The feed flow rate to an adiabatic continuous stirred tank reactor (CSTR) in which an exothermic reaction is occurring is increased from 1000 to 1400. kg/h, causing the outlet temperature to change as shown: 90 80 70 70 60 60 T (deg. C) 50 40 40 30 0 20 20 40 40 60 80 100 120 140 160 180 200 Time (min) a) Briefly explain on a physical basis why the temperature in this system oscillates after a step increase in the inlet flow rate. Be clear, complete, and concise. (In-class explanation) b) Use the given data to derive the transfer function in standard form with numbers. Show all steps and key transfer function variables with units derived along the way. (Screencast explanation) c) You know that this oscillating response cannot be that of two first order processes with real time constant acting in series. Assuming the reaction is first order and the CSTR operates with constant holdup, derive the block diagram with all transfer functions indicating how the temperature would respond to the feed flow rate step change (W'(s) as input and I'(s) as output). An intermediate variable in this block diagram will be the concentration of A in the reactor, represented by CA'(s). (Screencast explanation) d) A correct result for part c) will include a feedback loop in the block diagram, indicating the response in T to a change in w is not simply two first order responses acting in series. Without attempting to simplify the block diagram, use what you understand about the loop law together with the oscillating response to draw a conclusion about the sign of some gain or combination of gains in the system. Explain your conclusion clearly, completely, and concisely. (In-class explanation)
Transcribed Image Text:1) The feed flow rate to an adiabatic continuous stirred tank reactor (CSTR) in which an exothermic reaction is occurring is increased from 1000 to 1400. kg/h, causing the outlet temperature to change as shown: 90 80 70 70 60 60 T (deg. C) 50 40 40 30 0 20 20 40 40 60 80 100 120 140 160 180 200 Time (min) a) Briefly explain on a physical basis why the temperature in this system oscillates after a step increase in the inlet flow rate. Be clear, complete, and concise. (In-class explanation) b) Use the given data to derive the transfer function in standard form with numbers. Show all steps and key transfer function variables with units derived along the way. (Screencast explanation) c) You know that this oscillating response cannot be that of two first order processes with real time constant acting in series. Assuming the reaction is first order and the CSTR operates with constant holdup, derive the block diagram with all transfer functions indicating how the temperature would respond to the feed flow rate step change (W'(s) as input and I'(s) as output). An intermediate variable in this block diagram will be the concentration of A in the reactor, represented by CA'(s). (Screencast explanation) d) A correct result for part c) will include a feedback loop in the block diagram, indicating the response in T to a change in w is not simply two first order responses acting in series. Without attempting to simplify the block diagram, use what you understand about the loop law together with the oscillating response to draw a conclusion about the sign of some gain or combination of gains in the system. Explain your conclusion clearly, completely, and concisely. (In-class explanation)
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