he compound a-tocopherol, a form of vitamin e (atlas m3), is a powerful antioxidant that may help to maintain the integrity of biological membranes. the light-induced reaction between duroquinone and the antioxidant in ethanol is bimolecular and diffusion controlled, estimate the rate constant for the reaction at 298K, given tat the viscosity of ethanol is 1.06 x 10-3 kg m-1 s-1

The equation that expresses the relationship between the rate of a chemical reaction and the concentrations of the reacting substances contains a proportionality constant called the rate constant, also known as the specific rate constant.

In this exercise we have vitamin E

There is a study of reaction of photochemically excited duroquinone with the antioxidant in ethanol

Following photochemical excitation of duroquinone, a bimolecular reaction occurred at a diffusion-limited rate.

(a) Here we have to estimate rate constant for a diffusion-limited reaction in ethanol

We have datas for:

R = 8.314K⁻¹η

T = 298Kmol⁻¹

η = 1.06 x 10-3 kg m-1 s⁻¹

K = 8RT/3η

K = 8 × 8.314 × 298/ 3η

K = 6.23×10⁹dm³mol⁻¹s⁻¹

Here we have to estimate critical reaction distance if the sum of diffusion coefficients is 1×10⁻⁹m²s⁻¹

Firstly we will write equation for kk and from it express and calculate R*

K = 4πR*DNₐ

R* = 2.77×10⁹×10⁻³/4π 1×10⁻⁹×6.23×10²³

R* = 3.7×10⁻¹⁰m.

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