Diffusion-Controlled Rate Constant and Reaction Progress in a Bimolecular Reaction

Assignment Task

You have a bimolecular reaction that is diffusion limited: W(aq) + X(aq) → Product.

You decide that you will attempt to slow down the reaction by both decreasing the temperature to -35°C and by using a viscous solvent. You make a solution that is 50% glycerol (C3H6O3) in water by volume. The density of the solution is 1.166 g/mL while the viscosity is 0.240 N s m2. Assume the radius of W = radius of X.

a) What is the calculated diffusion controlled rate constant for this reaction (at -35°C)?

b) To measure this reaction, you will be using a stopped flow mixer. The mixer has an averaging time of 1.00 ms. To get sufficient data points, you need less than 7% of the reaction to be complete within the averaging time of the instrument (1.00 ms). Using your result from part a, what percentage of the reaction will be complete if you start with 18.0 μM W and 21.0 μM X? Can you measure this reaction with this apparatus? You may want to go back to table 17B.3 to complete this part.

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