A Method of Analyzing the Component Reactions of an Overall Reaction: Autothermal Reforming of Acetic Acid Example
Abstract
1. Introduction
- f1—fraction of available organic (AA, in this case) going to reaction 1;
- f2—fraction of available organic (AA, in this case) going to reaction 2;
- f3—fraction of generated CO going to reaction 3;
- f4—fraction of generated CO going to reaction 4;
- f5—fraction of generated CO going to reaction 5;
- 1–f1–f2—fraction organic remaining (unreacted);
- 1–f3–f4–f5—fraction of generated CO remaining (unreacted).
2. Experimental
3. Calculations
3.1. Determination of the Factors fi
3.2. Determining the Approach to Equilibrium
4. Results and Conclusions
4.1. Determination of fi
4.2. Closeness of Solver Fit to Data and Indication of Possible Experimental Error
4.3. Experimental Results
4.4. Comparison of Experimental to Equilibrium Gas Compositions
4.5. Calculation of (fi)equil
5. Conclusions
5.1. General
- A method of determining the fraction reactant going to a component reaction of an overall reaction has been outlined.
- Using this method and knowledge of the theoretical equilibrium composition, it is possible to determine the approach of the component reactions to equilibrium.
- This method can be used to check for data consistency.
- Of course, as complete as possible a roster of the important constituent reactions needs to be included in the analysis.
5.2. Specific to the ATR of Acetic Acid (for the Experimental Space Investigated)
- 5.
- A temperature of at least 600 °C is needed for a significant level of the steam reforming reaction, Equation (1), to occur. This is contrasted with the oxidation reaction, Equation (2), which goes to completion of the limiting reagent, oxygen, over the temperature range 300–700 °C.
- 6.
- If the temperature is in the range 600–700 °C, 40 to 50% of the AA goes to the steam reforming reaction, Equation (1), with a >90% approach to equilibrium.
- 7.
- Of the CO formed, 70–90% goes to the water–gas shift reaction, Equation (3), with an approach to equilibrium of typically > 80% over the temperature range 300–700 °C.
- 8.
- Coking was predicted to occur at low temperatures. At 300 °C, run #16, coking was experimentally found as well as predicted by equilibrium calculations. The amount of coking experimentally found at 300 C and 400 °C was greater than equilibrium. This could be due to the higher than equilibrium CO concentration at the low temperatures. At 400 C, coking was indicated experimentally but not predicted from equilibrium calculations. Above 500 °C, no coking was indicated experimentally or from equilibrium calculations.
- 9.
- An O2/C mole ratio of at least an 0.25 is needed to react at least 95% of the acetic acid (at 600 °C).
- 10.
- For the limited experimental space investigated for steam reforming of acetic acid with the specific BASF dual-layer catalyst at a space velocity of 9061 1/h (STP), optimum operating condition was found to be 700 °C, H2O/C mole ratio = 1.0, and O2/C mole ratio = 0.30. For this operating condition, the CO yield is 44% and the H2/CO mole ratio is 2.0.
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
- Brown, R.C. Thermochemical Processing of Biomass: Conversion Into Fuels, Chemicals and Power; Wiley Series in Renewable Resource; John Wiley & Sons: Hoboken, NJ, USA, 2011; Volume xiv, 330p. [Google Scholar]
- Elliot, D. Historical developments in hydroprocessing bio-oils. Energy Fuels 2007, 21, 1792. [Google Scholar] [CrossRef]
- Larson, E.; Haiming, J. Biomass conversion to Fischer-Tropsch liquids: Preliminary energy balances. In Proceedings of the 4th Biomass Conference of the Americas, Oakland, CA, USA, 29 August–2 September 1999; Elsevier Science, Ltd.: Amsterdam, The Netherlands, 1999. [Google Scholar]
- Laser, M.; Jin, H.; Jayawardhana, K.; Dale, B.E.; Lynd, L.R. Projected mature technology senarios for conversion of cellulosic biomass to ethanol with coproduction of thermochemical fuels, power, and/or animal feed protein. Biofels Bioprod. Bioref. 2009, 3, 231–246. [Google Scholar] [CrossRef]
- Mullen, C.; Boateng, A.A. Chemical composition of bio-oils produced by fast pyrolysis of two energy crops. Energy Fuels 2008, 22, 2104–2109. [Google Scholar] [CrossRef]
- Wright, M.; Brown, R.C.; Boating, A.A. Distributed processing of biomass to bio-oil for subseqent production of Fischer-Tropsch liquids. Biofels Bioprod. Bioref. 2008, 2, 229. [Google Scholar]
- Manganaro, J.; Chen, B.; Adeosun, J.; Lakhapatri, S.; Favetta, D.; Lawal, A.; Farrauto, R.; Dorazio, L.; Rosse, D.J. Conversion of Residual Biomass into Liquid Transportation Fuel: An Energy Analysis. Energy Fuels 2011, 25, 2711–2720. [Google Scholar] [CrossRef]
- Manganaro, J.; Lawal, A. Economics of thermochemical conversion of crop residue to liquid transportation fuel. Energy Fuels 2012, 26, 2442–2453. [Google Scholar] [CrossRef]
- Liu, Y.; Farrauto, R.; Lawal, A. Autothermal reforming of glycerol in a dual layer monolith catalyst. Chem. Eng. Sci. 2013, 89, 31–39. [Google Scholar] [CrossRef]
- Bartholomew, C.; Farrauto, R.J. Fundamentals of Industrial Catalytic Processes, 2nd ed.; John Wiley: Hoboken, NJ, USA, 2006. [Google Scholar]
- Carter, J.; Altman, D. High Temperature Equilibrium. In Combustion Processes; Lewis, B., Pease, R.N., Taylor, H.S., Eds.; Princeton University Press: Princeton, NJ, USA, 1956. [Google Scholar]
- Dorazio, L.; Castaldi, M.J. Autothermal reforming of tetradecane (C14H30): A mechanistic approach. Catal. Today 2008, 136, 273. [Google Scholar] [CrossRef]
- KINTECUS. Available online: http://www.kintecus.com/ (accessed on 26 September 2025).
- Mann, U. Principals of Chemical Reactor Design, 2nd ed.; John Wiley: Hoboken, NJ, USA, 2009. [Google Scholar]
- Gaseq. Available online: https://gaseq.software.informer.com/#google_vignette (accessed on 26 September 2025).
Effect of Temp (300 TO 700 C) | |
Total H2O to carbon in AA mole ratio | 0.993 |
O2 in air to carbon in AA mole ratio | 0.3020 |
Effect of H2O/C ratio (0.596 to 1.986) | |
O2 in air to carbon in AA mole ratio | 0.3016 |
Reactor exit temp, C | 700 |
Effect of O2/C ratio (0.05 to 0.302) | |
H2O to carbon in AA mole ratio | 0.993 |
Reactor exit temp, C | 600 |
Reactions | ||||||||
1 | CnHmOk + (n − k)H2O | = nCO + 0.5mH2O | ||||||
2 | CnHmOk + (0.5n +0.25m − 0.5k)O2 | = nCO + (n+0.5m − k)H2 | ||||||
3 | CO + H2O | = CO2 + H2 | ||||||
4 | CO | = 0.5CO2 + 0.5C | ||||||
5 | CO + 3H2 | = CH4 + H2O | ||||||
Effect of Temp | Space velocity at STP = 9061 1/h | |||||||
Total H2O to carbon in AA mole ratio | 0.993 | |||||||
O2 in air to carbon in AA mole ratio | 0.3020 | |||||||
Fraction going to reaction i (fi), fraction | Fra AA | Fra AA | ||||||
Run # | T | Rxn 1 | Rxn 2 | Rxn 3 | Rxn 4 | Rxn 5 | unreacted | reacted |
16 | 300 | 0.00 | 0.60 | 0.55 | 0.12 | 0.07 | 0.40 | 0.60 |
8 | 400 | 0.23 | 0.60 | 0.58 | 0.02 | 0.06 | 0.17 | 0.83 |
6 | 500 | 0.28 | 0.60 | 0.65 | 0.00 | 0.03 | 0.12 | 0.88 |
Repeat of 11 | 550 | 0.34 | 0.60 | 0.64 | 0.00 | 0.03 | 0.06 | 0.94 |
7 | 600 | 0.37 | 0.60 | 0.61 | 0.00 | 0.02 | 0.03 | 0.97 |
2nd repeat of 3 | 700 | 0.40 | 0.60 | 0.57 | 0.00 | 0.02 | 0 | 1.00 |
Effect of H2O/C ratio | Space velocity at STP = 9061 1/h | |||||||
O2 in air to carbon in AA mole ratio | 0.3016 | |||||||
Reactor exit temp, C | 700 | |||||||
Fraction going to reaction i (fi), fraction | Fra AA | Fra AA | ||||||
Run # | H2O/C | Rxn 1 | Rxn 2 | Rxn 3 | Rxn 4 | Rxn 5 | unreacted | reacted |
5 | 0.596 | 0.40 | 0.60 | 0.49 | 0.00 | 0.04 | 0 | 1.00 |
3 | 0.993 | 0.40 | 0.60 | 0.55 | 0.00 | 0.02 | 0 | 1.00 |
9rpt | 1.192 | 0.40 | 0.60 | 0.60 | 0.00 | 0.02 | 0 | 1.00 |
2 | 1.588 | 0.41 | 0.57 | 0.62 | 0.00 | 0.00 | 0.03 | 0.97 |
10 | 1.986 | 0.47 | 0.53 | 0.69 | 0.00 | 0.00 | 0 | 1.00 |
Effect of O2/C ratio | Space velocity at STP = 9061 1/h | |||||||
H2O to carbon in AA mole ratio | 0.993 | |||||||
Reactor exit temp, C | 600 | |||||||
Fraction going to reaction i (fi), fraction | Fra AA | Fra AA | ||||||
Run # | O2/C | Rxn 1 | Rxn 2 | Rxn 3 | Rxn 4 | Rxn 5 | unreacted | reacted |
17 | 0.050 | 0.08 | 0.48 | 0.64 | 0.00 | 0.00 | 0.45 | 0.55 |
15 | 0.101 | 0.46 | 0.19 | 0.58 | 0.00 | 0.01 | 0.35 | 0.65 |
14 | 0.151 | 0.53 | 0.27 | 0.59 | 0.00 | 0.00 | 0.2 | 0.80 |
13 | 0.201 | 0.52 | 0.37 | 0.60 | 0.00 | 0.00 | 0.11 | 0.89 |
12 | 0.251 | 0.49 | 0.48 | 0.61 | 0.00 | 0.00 | 0.03 | 0.97 |
7rpt | 0.302 | 0.36 | 0.60 | 0.62 | 0.00 | 0.02 | 0.04 | 0.96 |
Temp, C = 300 | Temp, C = 500 | Temp, C = 700 | ||||||
Calc’d | Expt’l | Calc’d | Expt’l | Calc’d | Expt’l | |||
exit gas | exit gas | exit gas | exit gas | exit gas | exit gas | |||
compo | compo | compo | compo | compo | compo | |||
H2O&N2 | H2O&N2 | H2O&N2 | H2O&N2 | H2O&N2 | H2O&N2 | |||
free basis | free basis | free basis | free basis | free basis | free basis | |||
vol % | vol % | vol % | vol % | vol % | vol % | |||
O2 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0 | ||
H2 | 25.9 | 25.4 | 47.2 | 47.1 | 47.4 | 47.3 | ||
CO | 20.2 | 22.1 | 17.1 | 17.3 | 22.9 | 23.0 | ||
CH4 | 5.8 | 0.0 | 1.3 | 0.9 | 0.8 | 0.5 | ||
CO2 | 48.1 | 52.5 | 34.3 | 34.6 | 28.8 | 29.1 | ||
Carbon going to coke, % | 3.6 | 0.0 | 0.1 | 0.0 | 0.0 | 0.0 | ||
Fraction AA reacted | 0.6 | 0.6 | 0.88 | 0.885 | 1.00 | 1.00 | ||
diff. Sq’d | diff. Sq’d | diff. Sq’d | ||||||
O2 | 0.0 | O2 | 0.0 | O2 | 0.0 | |||
H2 | 0.3 | H2 | 0.0 | H2 | 0.0 | |||
CO | 3.6 | CO | 0.0 | CO | 0.0 | |||
CH4 | 33.8 | CH4 | 0.2 | CH4 | 0.1 | |||
CO2 | 19.8 | CO2 | 0.1 | CO2 | 0.1 | |||
C to coke | 12.8 | C to coke | 0.0 | C to coke | 0.0 | |||
conv | 7.0 | conv | 0.0 | conv | 0.0 | |||
sum sq= | 77.2 | sum sq= | 0.4 | sum sq= | 0.2 |
Temp, C | AA to SR | AA to Oxy | CO to WGS | CO to C + CO2 | CO to CH4 |
---|---|---|---|---|---|
300 | 0 | 100 | 90 | 168 * | 23 |
400 | 58 | 100 | 81 | ∞ ** | 22 |
500 | 70 | 100 | 97 | 0 *** | 15 |
600 | 93 | 100 | 88 | 0 *** | 52 **** |
700 | 99 | 100 | 71 | 0 *** | 7 |
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Manganaro, J.; Liu, Y.; Huang, J.; Chen, B.; Lawal, A. A Method of Analyzing the Component Reactions of an Overall Reaction: Autothermal Reforming of Acetic Acid Example. Processes 2025, 13, 3112. https://doi.org/10.3390/pr13103112
Manganaro J, Liu Y, Huang J, Chen B, Lawal A. A Method of Analyzing the Component Reactions of an Overall Reaction: Autothermal Reforming of Acetic Acid Example. Processes. 2025; 13(10):3112. https://doi.org/10.3390/pr13103112
Chicago/Turabian StyleManganaro, James, Yujia Liu, Jiazhun Huang, Bi Chen, and Adeniyi Lawal. 2025. "A Method of Analyzing the Component Reactions of an Overall Reaction: Autothermal Reforming of Acetic Acid Example" Processes 13, no. 10: 3112. https://doi.org/10.3390/pr13103112
APA StyleManganaro, J., Liu, Y., Huang, J., Chen, B., & Lawal, A. (2025). A Method of Analyzing the Component Reactions of an Overall Reaction: Autothermal Reforming of Acetic Acid Example. Processes, 13(10), 3112. https://doi.org/10.3390/pr13103112