Question

P11-6B The irreversible endothermic vapor-phase reaction follows an elementary rate law CH3COCH3 ? CH2CO + CH4 A ? B + C and is carried out adiabatically in a 500-dm3 PFR. Species A is fed to the reactor at a rate of 10 mol/min and a pressure of 2 atm. An inert stream is also fed to the reactor at 2 atm, as shown in Figure P11-6B. The entrance temperature of both streams is 1100 K. FA0 = 10 mol/min FI0 CA0I Figure P11-6B Adiabatic PFR with inerts. Additional information: k = exp (34.34 - 34,222/T) dm3/mol"min CPI = 200 J/mol"K (T in degrees Kelvin) CPA = 170 J/mol"K CPB = 90 J/mol"K CPC = 80 J/mol"K ?H"Rx = 80,000 J/mol (a) First derive an expression for CA0I as a function of CA0 and ?I. (b) Sketch the conversion and temperature profiles for the case when no inerts are present. Using a dashed line, sketch the profiles when a moderate amount of inerts are added. Using a dotted line, sketch the profiles when a large amount of inerts are added. Qualitative sketches are fine. Describe the similarities and differences between the curves. (c) Sketch or plot and then analyze the exit conversion as a function of ?I. Is there a ratio of the entering molar flow rates of inerts (I) to A (i.e., ?I = FI0/FA0) at which the conversion is at a maximum? Explain why there "is" or "is not" a maximum. (d) What would change in parts (b) and (c) if reactions were exothermic and reversible with ?H"Rx = -80 kJ/mol and KC = 2 dm3/mol at 1100 K? (e) Sketch or plot FB for parts (c) and (d), and describe what you find. (f) Plot the heat that must be removed along the reactor (Q vs. V) to maintain isothermal operation for pure A fed and an exothermic reaction. Part (f) is "C" level of difficulty, i.e., P11-6C(f).

          P11-6B The irreversible endothermic vapor-phase reaction follows an elementary rate law
CH3COCH3 ? CH2CO + CH4
A ? B + C
and is carried out adiabatically in a 500-dm3 PFR. Species A is fed to the reactor at a rate of 10 mol/min and a pressure of 2 atm. An inert stream is also fed to the reactor at 2 atm, as shown in Figure P11-6B. The entrance temperature of both streams is 1100 K.
FA0 = 10 mol/min
FI0
CA0I
Figure P11-6B Adiabatic PFR with inerts.
Additional information:
k = exp (34.34 - 34,222/T) dm3/mol"min CPI = 200 J/mol"K
(T in degrees Kelvin)
CPA = 170 J/mol"K CPB = 90 J/mol"K
CPC = 80 J/mol"K ?H"Rx = 80,000 J/mol
(a) First derive an expression for CA0I as a function of CA0 and ?I.
(b) Sketch the conversion and temperature profiles for the case when no inerts are present. Using a dashed line, sketch the profiles when a moderate amount of inerts are added. Using a dotted line, sketch the profiles when a large amount of inerts are added. Qualitative sketches are fine. Describe the similarities and differences between the curves.
(c) Sketch or plot and then analyze the exit conversion as a function of ?I. Is there a ratio of the entering molar flow rates of inerts (I) to A (i.e., ?I = FI0/FA0) at which the conversion is at a maximum? Explain why there "is" or "is not" a maximum.
(d) What would change in parts (b) and (c) if reactions were exothermic and reversible with ?H"Rx = -80 kJ/mol and KC = 2 dm3/mol at 1100 K?
(e) Sketch or plot FB for parts (c) and (d), and describe what you find.
(f) Plot the heat that must be removed along the reactor (Q vs. V) to maintain isothermal operation for pure A fed and an exothermic reaction. Part (f) is "C" level of difficulty, i.e., P11-6C(f).

P11-6B The irreversible endothermic vapor-phase reaction follows an elementary rate law
CH3COCH3 ? CH2CO + CH4
A ? B + C
and is carried out adiabatically in a 500-dm3 PFR. Species A is fed to the reactor at a rate of 10 mol/min and a pressure of 2 atm. An inert stream is also fed to the reactor at 2 atm, as shown in Figure P11-6B. The entrance temperature of both streams is 1100 K.
FA0 = 10 mol/min
FI0
CA0I
Figure P11-6B Adiabatic PFR with inerts.
Additional information:
k = exp (34.34 - 34,222/T) dm3/mol"min CPI = 200 J/mol"K
(T in degrees Kelvin)
CPA = 170 J/mol"K CPB = 90 J/mol"K
CPC = 80 J/mol"K ?H"Rx = 80,000 J/mol
(a) First derive an expression for CA0I as a function of CA0 and ?I.
(b) Sketch the conversion and temperature profiles for the case when no inerts are present. Using a dashed line, sketch the profiles when a moderate amount of inerts are added. Using a dotted line, sketch the profiles when a large amount of inerts are added. Qualitative sketches are fine. Describe the similarities and differences between the curves.
(c) Sketch or plot and then analyze the exit conversion as a function of ?I. Is there a ratio of the entering molar flow rates of inerts (I) to A (i.e., ?I = FI0/FA0) at which the conversion is at a maximum? Explain why there "is" or "is not" a maximum.
(d) What would change in parts (b) and (c) if reactions were exothermic and reversible with ?H"Rx = -80 kJ/mol and KC = 2 dm3/mol at 1100 K?
(e) Sketch or plot FB for parts (c) and (d), and describe what you find.
(f) Plot the heat that must be removed along the reactor (Q vs. V) to maintain isothermal operation for pure A fed and an exothermic reaction. Part (f) is "C" level of difficulty, i.e., P11-6C(f).

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