Question
Chapter 2, Problem 2.1P

(a)

Interpretation Introduction

Interpretation:

The method by which the answers from examples 2-1 through 2-3 get changed if the flow rate FA0 were cut in half and were get doubled is to be stated. The conversion that is achieved in a 4.5m3 PFR and in a 4.5m3 CSTR is to be stated.

Concept introduction:

The full form of CSTR is Continuous-Stirred Tank Reactor. This reaction has its application in the industrial processes. This reactor actually used for liquid-phase reactions.

The full form of PFR is Plug-Flow Reactor which consists of a cylindrical pipe and it is used for the gas-phase reactions.

(a)

Expert Solution
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Explanation of Solution

The given adiabatic reaction is,

    AB+C

If a fluidized CSTR and a PBR contains equal weights of catalyst for the given adiabatic reaction and very small amount of catalyst is required for the 80% conversion then this can be done by joining first CSTR with PBR in series. The graph that is obtained after this connection is shown as,

Elements of Chemical Reaction Engineering (5th Edition) (Prentice Hall International Series in the Physical and Chemical Engineering Sciences), Chapter 2, Problem 2.1P , additional homework tip  1

Figure 1

In the above shown graph, the purple and rectangular area indicates the CSTR and the green area under the curve indicates the PBR.

(b)

Interpretation Introduction

Interpretation:

The weight of catalyst that is used to achieve 80% conversion in a fluidized CSTR is to be stated.

Concept introduction:

The full form of CSTR is Continuous-Stirred Tank Reactor. This reaction has its application in the industrial processes. This reactor actually used for liquid-phase reactions.

The full form of PFR is Plug-Flow Reactor which consists of a cylindrical pipe and it is used for the gas-phase reactions.

(b)

Expert Solution
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Answer to Problem 2.1P

The weight of catalyst that is used to achieve 80% conversion in a fluidized CSTR is 23.2kg.

Explanation of Solution

The given adiabatic reaction is,

    AB+C

The graph that indicates the 80% area of conversion is shown as,

Elements of Chemical Reaction Engineering (5th Edition) (Prentice Hall International Series in the Physical and Chemical Engineering Sciences), Chapter 2, Problem 2.1P , additional homework tip  2

Figure 2

In the above shown graph, the purple and rectangular area indicates 80% area of conversion. The weight of catalyst that is obtained from the graph is 29kg. Thus, for 0.8 conversion, the total weight of the catalyst is 0.8×29=23.2kg.

(c)

Interpretation Introduction

Interpretation:

The weight of fluidized CSTR that is used to achieve 40% conversion is to be stated.

Concept introduction:

The full form of CSTR is Continuous-Stirred Tank Reactor. This reaction has its application in the industrial processes. This reactor actually used for liquid-phase reactions.

The full form of PFR is Plug-Flow Reactor which consists of a cylindrical pipe and it is used for the gas-phase reactions.

(c)

Expert Solution
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Answer to Problem 2.1P

The weight of fluidized CSTR that is used to achieve 40% conversion is 7.6kg.

Explanation of Solution

The given adiabatic reaction is,

    AB+C

The graph that indicates the 40% area of conversion is shown as,

Elements of Chemical Reaction Engineering (5th Edition) (Prentice Hall International Series in the Physical and Chemical Engineering Sciences), Chapter 2, Problem 2.1P , additional homework tip  3

Figure 3

In the above shown graph, the purple and rectangular area indicates 40% area of conversion. The weight of catalyst that is obtained from the graph is 19kg. Thus, for 0.4 conversion, the total weight of the catalyst is 0.4×19=7.6kg.

(d)

Interpretation Introduction

Interpretation:

The weight of PBR that is used to achieve 80% conversion is to be stated.

Concept introduction:

The full form of CSTR is Continuous-Stirred Tank Reactor. This reaction has its application in the industrial processes. This reactor actually used for liquid-phase reactions.

The full form of PFR is Plug-Flow Reactor which consists of a cylindrical pipe and it is used for the gas-phase reactions.

(d)

Expert Solution
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Answer to Problem 2.1P

The weight of PBR that is used to achieve 80% conversion is 22.7kg.

Explanation of Solution

The given adiabatic reaction is,

    AB+C

The graph that indicates the 80% area of conversion is shown as,

Elements of Chemical Reaction Engineering (5th Edition) (Prentice Hall International Series in the Physical and Chemical Engineering Sciences), Chapter 2, Problem 2.1P , additional homework tip  4

Figure 4

The scale of x-axis is 0.2.

The scale of y-axis is 10.

In the above shown graph, the green area under the shown curve is calculated as,

    Area=(Ninecompleteboxes+triangularbox1+triangularbox2+triangularbox3)×(Scaleofxaxis×scaleofyaxis)

Substitute the respective values in the above expression.

    Area=(9+12×3×1+12×1×0.7+121×1)×(0.2×10)=11.32×2=22.7kg

(e)

Interpretation Introduction

Interpretation:

The weight of PBR that is used to achieve 40% conversion is to be stated.

Concept introduction:

The full form of CSTR is Continuous-Stirred Tank Reactor. This reaction has its application in the industrial processes. This reactor actually used for liquid-phase reactions.

The full form of PFR is Plug-Flow Reactor which consists of a cylindrical pipe and it is used for the gas-phase reactions.

(e)

Expert Solution
Check Mark

Answer to Problem 2.1P

The weight of PBR that is used to achieve 40% conversion is 16kg.

Explanation of Solution

The given adiabatic reaction is,

    AB+C

The graph that indicates the 40% area of conversion is shown as,

Elements of Chemical Reaction Engineering (5th Edition) (Prentice Hall International Series in the Physical and Chemical Engineering Sciences), Chapter 2, Problem 2.1P , additional homework tip  5

Figure 5

In the above shown graph, the green area under the shown curve is calculated as,

    Area=(Areaofshadedrectangle)×(Areaofshadedtriangle)

Substitute the respective values in the above expression.

    Area=(20×0.4+12×0.4(6020)1×1)=16kg

(f)

Interpretation Introduction

Interpretation:

The plot for the rate of reaction and the conversion as function of PBR catalyst weight, W is to be drawn.

Concept introduction:

The full form of CSTR is Continuous-Stirred Tank Reactor. This reaction has its application in the industrial processes. This reactor actually used for liquid-phase reactions.

The full form of PFR is Plug-Flow Reactor which consists of a cylindrical pipe and it is used for the gas-phase reactions.

The conversion, X can be defined as the moles of any species A that are reacted per mole of A fed in the reactor.

(f)

Expert Solution
Check Mark

Answer to Problem 2.1P

The plot for the rate of reaction and the conversion as function of PBR catalyst weight, W is shown in Figure 6.

Explanation of Solution

The given adiabatic reaction is,

    AB+C

The given weight of the PBR catalyst is W. The expression for the weight of PBR catalyst is,

    WPBR=FA00xdX(rA)=FA0X(rA)rA=FA0XWPBR

The given value of FA0 is 2mol/s.

After the calculation of rate of reaction and conversion against the weight, the plot for the rate of reaction and the conversion as function of PBR catalyst weight, W is shown as,

Elements of Chemical Reaction Engineering (5th Edition) (Prentice Hall International Series in the Physical and Chemical Engineering Sciences), Chapter 2, Problem 2.1P , additional homework tip  6

Figure 6

Conclusion
  1. a. The arrangement of a fluidized CSTR and a PBR containing equal weights of catalyst for the given adiabatic reaction should be in series.
  2. b. The weight of catalyst that is used to achieve 80% conversion in a fluidized CSTR is 23.2kg.
  3. c. The weight of fluidized CSTR that is used to achieve 40% conversion is 7.6kg.
  4. d. The weight of PBR that is used to achieve 80% conversion is 22.7kg.
  5. e. The weight of PBR that is used to achieve 40% conversion is 16kg.
  6. f. The plot for the rate of reaction and the conversion as function of PBR catalyst weight, W is shown in Figure 6.

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