Research in the Chemistry of Carbazole Derivatives
Abstract Generated abstract
The study examines the kinetics of acetylation of 9-methylcarbazole with acetic anhydride in the presence of sulfuric acid, perchloric acid, and magnesium perchlorate. Because the reaction mixture contained resinous products, 3,6-diacetyl-9-methylcarbazole, and other carbonyl-containing byproducts, reaction progress was followed by quantitative oximation of total carbonyl groups and the data were treated by the integral method. The work determines true and apparent reaction orders, activation energies, pre-exponential factors, and rate equations for each catalyst, finding first order dependence on 9-methylcarbazole and fractional order dependence on catalyst. Differences between true and apparent orders are attributed to secondary processes, and catalytic activity based on activation energy increases in the sequence sulfuric acid, magnesium perchlorate, perchloric acid.
Full Text
NEWS
of the Tomsk Polytechnic Institute named after S. M. Kirov, holder of the Order of the October Revolution and the Order of the Red Banner of Labor
Volume 257 — 1973
INVESTIGATION IN THE CHEMISTRY OF CARBAZOLE DERIVATIVES
82. KINETICS OF THE ACETYLATION OF 9-METHYLCARBAZOLE
M. I. Sukhoroslova, V. P. Lopatinskii, V. V. Bochkarev
(Presented by the Scientific-Methodological Seminar of the organic departments and laboratories)
The investigation we carried out earlier on the acetylation of 9-alkylcarbazoles in the presence of small amounts of catalysts showed that the main acetylation products are 3-acetyl-9-alkylcarbazoles [1]. However, during chromatographic separation on silica gel (solvent—chloroform), resin, 3,6-diacetylcarbazole, and two unknown substances were obtained as impurities; the infrared spectra of these substances showed the presence of carbonyl groups. Data on the chromatographic separation on silica gel in thin layers of the products of acetylation of 9-methylcarbazole with acetic anhydride at 135°C in the presence of sulfuric acid (molar ratio 9-methylcarbazole : acetic anhydride : sulfuric acid = \(1:20:1.17\cdot10^{-3}\)) and with a duration of 5 min are given in Table 1.
Since the reaction products contain impurities of resin, 3,6-diacetyl-9-methylcarbazole, and two unknown substances containing a carbonyl group, in our investigations we calculated the concentration of the carbonyl group, and not the concentration of 3-acetyl-9-methylcarbazole. Quantitative determination of the carbonyl group was carried out by the oximation method [2].
Processing of the results was carried out by the integral method. The acetylation of 9-methylcarbazole in the presence of sulfuric acid (Table 2), hydrochloric acid (Table 3), and magnesium perchlorate (anhydrone) (Table 4) was studied. In this, the influence of temperature, the initial concentration of 9-methylcarbazole, and the amount of catalyst on the yield of carbonyl compounds was investigated. The results of these studies-
... made it possible to determine the reaction order with respect to 9-methylcarbazole (Table 5), with respect to the catalyst (Table 6), the activation energy and pre-exponential factor (Table 7), and also to derive equations for the reaction rate and the rate constant (Table 8).
As can be seen from the tables, the true reaction order with respect to 9-methylcarbazole for all three catalysts is equal to unity, whereas the apparent reaction order with respect to 9-methylcarbazole differs from the true one and depends on the process conditions. Thus, for example, when the acetylation reaction is carried out in the presence of sulfuric acid at different temperatures, the apparent reaction order changes from 2.8 at 100°C to 5.1 at 135°C; in the presence of perchloric acid, from 1.7 at 60°C to 5.8 at 90°C.
Table 1
Chromatographic separation of the acetylation products of 9-methylcarbazole
| Substances | $R_f$ | m.p., °C | Content of the substance in the reaction product, % | Stretching vibrations of the C=O group, cm$^{-1}$ |
|---|---|---|---|---|
| Substance 6, resin | 0 | 160–175 | 0,22 | 1666 |
| Substance 5, 3,6-diacetyl-9-methylcarbazole | 0,05 | 196–197* | 0,96 | 1651 |
| Substance 4, 3-acetyl-9-methylcarbazole | 0,16 | 100–101** | 43,1 | 1648 |
| Substance 3 | 0,32 | oil | 0,71 | 1678 |
| Substance 2, 9-methylcarbazole | 0,70 | 85–87 | 55,0 | – |
| Substance 1 | 0,80 | 79–81 | 0,01 | *** |
* The melting point after crystallization from benzene is given.
** The melting point after crystallization from ethanol is given.
*** The presence of a carbonyl group was determined by a qualitative reaction with a solution of 2,4-dinitrophenylhydrazine.
Table 2
Acetylation of 9-methylcarbazole in the presence of sulfuric acid
| Time, min | Concentration of the =C=O group (mol/l) at T±1°C* — 135 | Concentration of the =C=O group (mol/l) at T±1°C* — 115 | Concentration of the =C=O group (mol/l) at T±1°C* — 100 | Concentration of the =C=O group (mol/l) at 115±1°C and molar ratio 9-methylcarbazole:acetic anhydride:H₂SO₄ — 0,8:20:1,17·10⁻³ | Concentration of the =C=O group (mol/l) at 115±1°C and molar ratio 9-methylcarbazole:acetic anhydride:H₂SO₄ — 1,18:20:1,17·10⁻³ | Concentration of the =C=O group (mol/l) at 115±1°C and molar ratio 9-methylcarbazole:acetic anhydride:H₂SO₄ — 1:20:1,17·10⁻³ | Concentration of the =C=O group (mol/l) at 115±1°C and molar ratio 9-methylcarbazole:acetic anhydride:H₂SO₄ — 1:20:2·1,17·10⁻³ |
|---|---|---|---|---|---|---|---|
| 0,25 | 0,070 | – | – | – | – | – | – |
| 0,5 | 0,100 | 0,040 | 0,014 | 0,028 | 0,062 | 0,028 | 0,05 |
| 0,75 | 0,123 | – | – | – | – | – | – |
| 1 | 0,140 | 0,064 | 0,027 | 0,054 | 0,082 | 0,048 | 0,085 |
| 1,5 | 0,150 | 0,085 | 0,034 | 0,065 | 0,100 | 0,063 | 0,103 |
| 2 | 0,163 | 0,103 | 0,043 | 0,080 | 0,125 | 0,073 | 0,121 |
| 3 | 0,168 | 0,116 | 0,055 | 0,100 | 0,136 | 0,090 | 0,135 |
| 5 | 0,159 | 0,133 | 0,070 | 0,115 | 0,146 | 0,111 | 0,150 |
| 7 | – | – | – | 0,128 | 0,154 | – | – |
| 10 | – | – | – | 0,140 | 0,164 | – | – |
* Molar ratio of reagents: 9-methylcarbazole:acetic anhydride:sulfuric acid = 1:20:1,17·10⁻³.
Table 3
Acetylation of 9-methylcarbazole in the presence of hydrochloric acid
| Time, min | Concentration of the =C=O group (mol/l) at T°C (±0,1)* — 90 | Concentration of the =C=O group (mol/l) at T°C (±0,1)* — 82 | Concentration of the =C=O group (mol/l) at T°C (±0,1)* — 70 | Concentration of the =C=O group (mol/l) at T°C (±0,1)* — 60 | Concentration of the =C=O group (mol/l) at 82±0,1°C and molar ratio 9-methylcarbazole:acetic anhydride:HClO₄ — 1,2:10:3·1,17·10⁻³ | Concentration of the =C=O group (mol/l) at 82±0,1°C and molar ratio 9-methylcarbazole:acetic anhydride:HClO₄ — 0,8:10:1,17·10⁻³ | Concentration of the =C=O group (mol/l) at 82±0,1°C and molar ratio 9-methylcarbazole:acetic anhydride:HClO₄ — 1:10:0,8·10⁻³ | Concentration of the =C=O group (mol/l) at 82±0,1°C and molar ratio 9-methylcarbazole:acetic anhydride:HClO₄ — 1:10:1,5·10⁻³ |
|---|---|---|---|---|---|---|---|---|
| 20 sec | 0,130 | – | – | – | – | – | – | – |
| 0,5 | 0,162 | 0,092 | 0,043 | 0,018 | 0,095 | 0,061 | 0,066 | 0,087 |
| 0,75 | 0,185 | – | – | – | – | – | – | – |
| 1 | 0,198 | 0,109 | 0,067 | 0,029 | 0,127 | 0,092 | 0,098 | 0,121 |
| 1,5 | 0,210 | 0,125 | 0,084 | 0,041 | 0,134 | 0,111 | 0,112 | 0,138 |
| 2 | 0,218 | 0,138 | 0,098 | 0,051 | 0,153 | 0,114 | 0,124 | 0,150 |
| 3 | 0,209 | 0,145 | 0,110 | 0,063 | 0,161 | 0,127 | 0,134 | 0,160 |
| 5 | 0,199 | 0,160 | 0,125 | 0,073 | 0,171 | 0,153 | 0,149 | 0,166 |
| 7 | 0,193 | 0,163 | 0,135 | 0,088 | 0,181 | 0,160 | – | – |
| 10 | 0,190 | 0,180 | 0,139 | 0,099 | 0,190 | 0,166 | – | – |
* Molar ratio of reagents: 9-methylcarbazole : acetic anhydride : \(HClO_4 = 1:10:1{,}17 \cdot 10^{-3}\).
Table 4
Acetylation of 9-methylcarbazole in the presence of anhydrone
| Time, min. | Concentration of the \(=C=O\) group (mol/L) at molar ratio 9-methylcarbazole:acetic anhydride:magnesium perchlorate \(1:10:3{,}98 \cdot 10^{-3}\) and \(T \pm 0{,}1^\circ C\): 99 | Concentration of the \(=C=O\) group (mol/L) at molar ratio 9-methylcarbazole:acetic anhydride:magnesium perchlorate \(1:10:3{,}98 \cdot 10^{-3}\) and \(T \pm 0{,}1^\circ C\): 90 | Concentration of the \(=C=O\) group (mol/L) at molar ratio 9-methylcarbazole:acetic anhydride:magnesium perchlorate \(1:10:3{,}98 \cdot 10^{-3}\) and \(T \pm 0{,}1^\circ C\): 80 | Concentration of the \(=C=O\) group (mol/L) at molar ratio 9-methylcarbazole:acetic anhydride:magnesium perchlorate \(1:10:3{,}98 \cdot 10^{-3}\) and \(T \pm 0{,}1^\circ C\): 70 | Concentration of the \(=C=O\) group (mol/L) at \(90 \pm 0{,}1^\circ C\) and molar ratio 9-methylcarbazole:acetic anhydride:magnesium perchlorate: \(1{,}2:10:3{,}98 \cdot 10^{-3}\) | Concentration of the \(=C=O\) group (mol/L) at \(90 \pm 0{,}1^\circ C\) and molar ratio 9-methylcarbazole:acetic anhydride:magnesium perchlorate: \(0{,}8:10:3{,}98 \cdot 10^{-3}\) | Concentration of the \(=C=O\) group (mol/L) at \(90 \pm 0{,}1^\circ C\) and molar ratio 9-methylcarbazole:acetic anhydride:magnesium perchlorate: \(1:10:5 \cdot 10^{-3}\) | Concentration of the \(=C=O\) group (mol/L) at \(90 \pm 0{,}1^\circ C\) and molar ratio 9-methylcarbazole:acetic anhydride:magnesium perchlorate: \(1:10:3 \cdot 10^{-3}\) |
|---|---|---|---|---|---|---|---|---|
| 0,5 | 0,021 | – | – | – | – | – | – | – |
| 1 | 0,069 | 0,012 | 0,030 | 0,008 | 0,016 | 0,008 | 0,019 | 0,008 |
| 1,5 | 0,106 | – | 0,040 | – | – | – | – | – |
| 2 | 0,124 | 0,060 | 0,060 | 0,022 | 0,074 | 0,046 | 0,073 | 0,049 |
| 3 | 0,159 | 0,098 | 0,080 | 0,035 | 0,127 | 0,084 | 0,117 | 0,092 |
| 5 | 0,209 | 0,163 | 0,100 | 0,055 | 0,190 | 0,142 | 0,180 | 0,152 |
| 7 | 0,235 | 0,205 | 0,123 | – | 0,226 | 0,170 | 0,223 | 0,198 |
| 8 | – | – | – | 0,082 | – | – | – | – |
| 10 | – | 0,238 | 0,144 | – | 0,264 | 0,214 | 0,254 | 0,223 |
| 12 | – | – | – | 0,108 | – | – | – | – |
| 13 | – | – | 0,152 | – | – | – | – | – |
| 15 | – | – | 0,183 | – | – | – | – | – |
| 17,5 | – | – | – | 0,130 | – | – | – | – |
| 22 | – | – | – | 0,150 | – | – | – | – |
Table 5
Kinetic data for the acetylation reaction of 9-methylcarbazole with acetic anhydride
| Catalyst | T°C | Initial concentration of 9-methylcarbazole, mol/L | Reaction rate, mol/L·sec | Apparent order with respect to 9-methylcarbazole | True order with respect to 9-methylcarbazole |
|---|---|---|---|---|---|
| Magnesium perchlorate | 90 | 0.749 | 0.909·10^-3 | 1.41 | 1.0 |
| Magnesium perchlorate | 90 | 0.909 | 1.1·10^-3 | 1.5 | 1.0 |
| Magnesium perchlorate | 90 | 1.06 | 1.28·10^-3 | 1.56 | 1.0 |
| Hydrochloric acid | 82 | 0.749 | 3.43·10^-3 | 4.67 | 1.0 |
| Hydrochloric acid | 82 | 0.909 | 4.28·10^-3 | 4.70 | 1.0 |
| Hydrochloric acid | 82 | 1.06 | 5.00·10^-3 | 4.75 | 1.0 |
| Sulfuric acid | 115 | 0.349 | 1.36·10^-3 | 3.8 | 1.0 |
| Sulfuric acid | 115 | 0.490 | 1.72·10^-3 | 4.2 | 1.0 |
| Sulfuric acid | 115 | 0.579 | 2.00·10^-3 | 4.5 | 1.0 |
Table 6
| Catalyst | T°C | Catalyst concentration, mol/L | Reaction rate, mol/L | Apparent reaction order with respect to 9-methylcarbazole | True reaction order with respect to catalyst |
|---|---|---|---|---|---|
| Sulfuric acid | 115 | 0.245·10^-3 | 1.28·10^-3 | 3.5 | 0.35 |
| Sulfuric acid | 115 | 0.574·10^-3 | 1.72·10^-3 | 4.2 | 0.35 |
| Sulfuric acid | 115 | 0.980·10^-3 | 2.08·10^-3 | 4.6 | 0.35 |
| Hydrochloric acid | 82 | 0.728·10^-3 | 3.85·10^-3 | 4.68 | 0.3 |
| Hydrochloric acid | 82 | 1.063·10^-3 | 4.28·10^-3 | 4.70 | 0.3 |
| Hydrochloric acid | 82 | 1.363·10^-3 | 4.62·10^-3 | 4.72 | 0.3 |
| Magnesium perchlorate | 90 | 2.73·10^-3 | 1.01·10^-3 | 1.48 | 0.3 |
| Magnesium perchlorate | 90 | 3.62·10^-3 | 1.1·10^-3 | 1.50 | 0.3 |
| Magnesium perchlorate | 90 | 4.55·10^-3 | 1.18·10^-3 | 1.53 | 0.3 |
Table 7
Kinetic data for the acetylation reaction of 9-methylcarbazole with acetic anhydride
| Catalyst | \(T,\ ^\circ\mathrm{C}\) | Reaction rate constant, \(\frac{\mathrm{L}\cdot\mathrm{mol}}{\mathrm{s}}\) | Time order with respect to 9-methylcarbazole | Activation energy, cal/mol | Pre-exponential factor |
|---|---|---|---|---|---|
| Sulfuric acid | 110 | \(1.48\cdot10^{-2}\) | 2.8 | 23100 | \(4.88\cdot10^{11}\) |
| Sulfuric acid | 115 | \(4.78\cdot10^{-2}\) | 4.2 | 23100 | \(4.88\cdot10^{11}\) |
| Sulfuric acid | 135 | \(0.214\) | 5.1 | 23100 | \(4.88\cdot10^{11}\) |
| Hydrochloric acid | 60 | \(5.8\cdot10^{-3}\) | 1.7 | 20100 | \(1.08\cdot10^{11}\) |
| Hydrochloric acid | 70 | \(1.65\cdot10^{-2}\) | 3.5 | 20100 | \(1.08\cdot10^{11}\) |
| Hydrochloric acid | 82 | \(3.68\cdot10^{-2}\) | 4.70 | 20100 | \(1.08\cdot10^{11}\) |
| Hydrochloric acid | 90 | \(7.16\cdot10^{-2}\) | 5.80 | 20100 | \(1.08\cdot10^{11}\) |
| Magnesium perchlorate | 70 | \(1.35\cdot10^{-3}\) | 1.0 | 22000 | \(1.26\cdot10^{11}\) |
| Magnesium perchlorate | 80 | \(3.42\cdot10^{-3}\) | 1.3 | 22000 | \(1.26\cdot10^{11}\) |
| Magnesium perchlorate | 90 | \(6.55\cdot10^{-3}\) | 1.5 | 22000 | \(1.26\cdot10^{11}\) |
| Magnesium perchlorate | 99 | \(1.535\cdot10^{-2}\) | 1.6 | 22000 | \(1.26\cdot10^{11}\) |
Table 8
| Catalyst | Equation for the reaction rate | Equation for the rate constant |
|---|---|---|
| Sulfuric acid | \(\dfrac{dC_{c=0}}{dt}=K\cdot C_{9\text{-MK}}\cdot C^{0.35}\) | \(K=4.88\cdot10^{11}e^{-\frac{23100}{RT}}\) |
| Hydrochloric acid | \(\dfrac{dC_{c=0}}{dt}=K\cdot C_{9\text{-MK}}\cdot C^{0.3}\) | \(K=1.08\cdot10^{11}e^{-\frac{20100}{RT}}\) |
| Magnesium perchlorate | \(\dfrac{dC_{c=0}}{dt}=K\cdot C_{9\text{-MK}}\cdot C^{0.3}\) | \(K=1.26\cdot10^{11}e^{-\frac{22000}{RT}}\) |
in the presence of magnesium perchlorate from 1.0 at \(70^\circ\mathrm{C}\) to 1.6 at \(99^\circ\mathrm{C}\) (Table 7). The value of the time order of the reaction is affected by the amount of catalyst (Table 6), as well as by the initial concentration of 9-methyl-
carbazole (Table 5).
The discrepancy between the true reaction order with respect to 9-methylcarbazole and the time order can be explained by the occurrence of secondary processes involving the initial 9-methylcarbazole.
The occurrence of secondary processes during the acetylation of 9-methylcarbazole is confirmed by the formation of resin-like products; moreover, in the presence of sulfuric and perchloric acids, resin formation is observed to a greater extent than when magnesium perchlorate is used as the catalyst. This is consistent with the fact that, when magnesium perchlorate is used as the catalyst, the time order with respect to 9-methylcarbazole was found to be lower than when sulfuric and perchloric acids are used as catalysts.
Taking the activation energy as a measure of catalyst activity, the catalysts studied may be arranged in the following series in order of increasing catalytic activity:
\[ \mathrm{H_2SO_4 < Mg(ClO_4)_2 < HClO_4} \]
This series differs from the series obtained in our preceding communication [1], where the activity of the catalysts was compared on the basis of the yield of carbonyl compounds obtained under identical acetylation conditions. Perchloric acid in that case showed lower activity owing to the occurrence of side condensation processes of the carbonyl compounds.
CONCLUSIONS
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The kinetics of the acetylation of 9-methylcarbazole with acetic anhydride in the presence of sulfuric acid, perchloric acid, and magnesium perchlorate has been studied.
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Equations for the reaction rate and rate constants have been obtained.
REFERENCES
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M. M. Sukhoroslova, V. P. Lopatinskii, E. E. Sirotkina, T. D. Pirogova. Izvestiya TPI. Vol. 250, in press.
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Houben–Weyl. Methods of Organic Chemistry. Vol. II, Moscow, Goskhimizdat, 1963.