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Norfloxacin [1-ethyl-6-fluoro-1,4-dihydro-4-oxo-7-(1-piperazinyl)-3-quinoline carboxylic acid] is a Physical Chemistry — Thermodynamics Chemistry Question

Kinetic studies of Norfloxacin oxidation with permanganate in alkaline medium

Norfloxacin [1-ethyl-6-fluoro-1,4-dihydro-4-oxo-7-(1-piperazinyl-3-quinoline carboxylic acid] is a synthetic fluoroquinolone antibacterial agent of broad spectrum characterized by high activity against many gram-positive and gram-negative bacteria. As a result of constantly increasing administration, fluoroquinolones are expected to enter environment via waste waters. These substances are capable of bringing serious harm to aquatic life even if present in marginal concentrations mainly by giving rise to drug-resistant bacteria.

Development of advanced oxidation processes leading to transformation of fluoroquinolones in water is an important task of contemporary chemistry.

Recently it was found that Norfloxacin (NF) can be oxidized by potassium permanganate in alkaline medium according to the following reaction:

[VISUAL]

According to the mass action law, the reaction rate can be expressed as:

r = k_obs * [NF]^v1 * [MnO4^-]^v2 * [OH^-]^v3

where [NF], [MnO4-], [OH-] are the concentrations of Norfloxacin, permanganate and alkali, respectively, and v1, v2, v3 are reaction orders with respect to the corresponding reagents.

In this task you will determine the reaction orders with respect to the involved reagents following the reaction progress photometrically at 525 nm, the wavelength of maximum absorbance of permanganate.

Chemicals and reagents:
- Potassium permanganate
- Sodium hydroxide
- Sodium perchlorate
- Norfloxacin

Equipment and glassware:
- Analytical balance (± 0.0001 g)
- Visible spectrophotometer (or photometer with fixed wavelength of 525 nm) equipped with thermostated cell holder
- Spectrophotometer cells with 3.5 cm optical path length (you will need to recalculate concentrations of the reagents if you use cells with different optical path length)
- Tissue to clear cell surfaces
- Thermostat
- PC (or other computing techniques) with Microsoft Excel software (English version)
- Volumetric flasks, 100 cm3 (4 ea.)
- Graduated cylinder, 100 cm3
- Volumetric pipettes, 1, 2, 5, and 10 cm3
- Pipette filler
- Spatula

Procedure:

A. Preparation of stock solutions
Read the procedure to the end and calculate the concentrations of stock solutions of potassium permanganate, sodium hydroxide, sodium perchlorate, and Norfloxacin that will allow easy preparation of the reaction mixtures to be analyzed. Prepare the stock solutions of potassium permanganate, sodium hydroxide and sodium perchlorate in the volumetric flasks according to standard procedures. Norfloxacin suffers from poor solubility in water at neutral pH values, thus first dissolve it in a small amount (about 6 cm3) of 0.3 mol dm-3 alkali solution (in the volumetric flask) and then add water to attain the required concentration. Do not forget to account for the amount of alkali introduced with the Norfloxacin solution when preparing the reaction mixtures. Close the flasks containing the stock solutions with stoppers and place them into the thermostat pre-adjusted to 25 °C.

Note: Norfloxacin is commercially available as a pure reagent. Also, it can be found as an ingredient in medicines. In the latter case, it is recommended to check that the other ingredients do not interfere with Norfloxacin when it is being oxidized by potassium permanganate.

B. General design of the task
The experimental work consists of three parts as can be seen from the table below:
- Part 1: Concentration of KMnO4 is varied, concentrations of all other reagents being constant (lines 1 to 5);
- Part 2: Norfloxacin (NF) concentration is varied, concentrations of all other reagents being constant (lines 6 to 10);
- Part 3: Concentration of NaOH is varied, concentrations of all other reagents being constant (lines 11 to 16).

Table of Reaction Mixtures:
Line | c(MnO4^-) * 10^4 (mol dm-3) | c(NF) * 10^3 (mol dm-3) | c(OH^-) * 10^2 (mol dm-3) | c(ClO4^-) * 10^2 (mol dm-3) | k_obs
1 | 0.4 | 1.0 | 5.0 | 5.0 |
2 | 0.8 | 1.0 | 5.0 | 5.0 |
3 | 1.0 | 1.0 | 5.0 | 5.0 |
4 | 2.0 | 1.0 | 5.0 | 5.0 |
5 | 4.0 | 1.0 | 5.0 | 5.0 |
6 | 1.0 | 0.8 | 5.0 | 5.0 |
7 | 1.0 | 1.0 | 5.0 | 5.0 |
8 | 1.0 | 4.0 | 5.0 | 5.0 |
9 | 1.0 | 6.0 | 5.0 | 5.0 |
10 | 1.0 | 8.0 | 5.0 | 5.0 |
11 | 1.0 | 1.0 | 1.0 | 5.0 |
12 | 1.0 | 1.0 | 2.0 | 5.0 |
13 | 1.0 | 1.0 | 5.0 | 5.0 |
14 | 1.0 | 1.0 | 6.0 | 5.0 |
15 | 1.0 | 1.0 | 8.0 | 5.0 |
16 | 1.0 | 1.0 | 10.0 | 5.0 |

C. Determination of the reaction orders
1. Adjust the temperature of the thermostated cell unit to 25 °C.
2. Place the flasks with the stock solutions in the thermostat and let the solutions attain the desired temperature. Check the temperatures inside the flasks from time to time with the thermometer. Always carefully wash the thermometer with water before placing it in the next flask.
3. When ready with the temperature of the solutions, use the spectrophotometer cell to prepare the mixture containing KMnO4, NaOH, and NaClO4 in concentrations as indicated in the corresponding line in the Table. Add the Norfloxacin solution last (note that its introduction initiates the reaction) and promptly place the cell into the thermostated cell holder.

Note: If a thermostated cell holder is not available, fulfill the task at room temperature having in mind that temperature alterations will produce only slight effect on the results of kinetic studies.

  1. Immediately start recording the absorbance at the wavelength of 525 nm. Continue measuring till the absorbance remains constant (A_infinity).
  2. Plot the obtained data as the dependence of log(At - A_infinity) on time (At is the reaction mixture absorbance at time t).
  3. Carefully wash the cell with plenty of water, dry the cell and wipe the walls with clean tissue.
  4. Use the initial straight part of the curve to calculate the observed rate constant of Norfloxacin oxidation. Write down the value in the Table.
  5. Repeat steps 3-7 for all the lines of the Table.
33.1.

Propose the structure of the oxidized product A based on data given below:
- mass spectrum of the product A have peaks with m/z = 335, 321, and 64;
- NMR spectra (aromatic region) of Norfloxacin and the product A are as follows:

[VISUAL]
1H NMR spectrum (300 MHz, 5 % NaOD/D2O, aromatic region) of Norfloxacin

[VISUAL]
1H NMR spectrum (300 MHz, 5% NaOD/D2O, aromatic region) of the product A.

Model Answer

A = [VISUAL] (Oxidized product of Norfloxacin containing a hydroxyl group on the piperazine ring, yielding the structure of 1-ethyl-6-fluoro-1,4-dihydro-4-oxo-7-(3-hydroxy-1-piperazinyl-3-quinolinecarbox ylic acid).

33.2.

Explain the 1H NMR spectral pattern of Norfloxacin in the aromatic region.

Model Answer

The 1H NMR spectral pattern shows three signals for the aromatic protons:
- Ha (at C-5 position): doublet at 7.79 ppm, coupled to the adjacent fluorine atom with a 3J_H-F coupling constant of 13.6 Hz.
- Hb (at C-8 position): doublet at 6.88 ppm, showing long-range 4J_H-F coupling with a coupling constant of 6.9 Hz.
- Hc (at C-2 position): singlet at 8.37 ppm, since it has no neighboring protons or strongly coupled heteronuclei under these conditions.

33.3.

Propose coordinates allowing determination of the reaction order with respect to a reagent.

33.4.

Using the found values of kobs and compositions of the mixtures, sketch the necessary plots and determine the reaction orders with respect to permanganate, Norfloxacin, and alkali.

Note: You are expected to fulfill this item by using the English version of Microsoft Excel software.

33.5.

Write down the expression for calculation of the rate of Norfloxacin oxidation with permanganate.

33.6.

The mechanism of Norfloxacin oxidation by alkaline manganese(VII) is given hereunder (B and C are intermediates of the process).

MnO4^- + OH^- <=> [MnO4OH]^2- (K1)
NF + [MnO4OH]^2- <=> B (K2)
B → C + MnO4^2- + H2O (k1, slow)
C + [MnO4OH]^2- → A + MnO4^2- (k2, fast)

Propose the structures of B and C. Note that C is a radical.

Model Answer

B = [VISUAL] (An intermediate complex showing the coordination of the Norfloxacin nitrogen/oxygen center to the hydroxylated manganese complex [MnO4OH]2-).
C = [VISUAL] (A free radical intermediate of Norfloxacin where an electron is delocalized, indicated by a radical dot).

33.7.

Propose the expression for the rate of Norfloxacin oxidation with permanganate according to the above scheme.

Model Answer

rate = -d[MnO4^-]/dt = (k1 * K1 * K2 * [NF] * [MnO4^-] * [OH^-]) / (1 + K1 * [OH^-] + K1 * K2 * [OH^-] * [NF])

This is derived using the quasi-equilibrium approximation for the first two steps and a material balance with respect to the total manganese(VII) concentration.

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