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Gas absorption in an agitated tank with a first-order reaction, Oxygen is absorbed in a reducing solution, where it undergoes a first-order reaction with a rate constant of 40 s−1

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Gas absorption in an agitated tank with a first-order reaction, Oxygen is absorbed in a reducing solution, where it undergoes a first-order reaction with a rate constant of 40 s−1. The conditions are such that the liquid-side mass transfer coefficient kL is equal to 8 × 10−3 cm/s. Will there be appreciable reaction in the film? Use DA = 1.5 × 10−5 cm2 /s for dissolved oxygen? What would the rate of reaction be if the oxygen partial pressure were 0.21 atm? Use the same Henry constant as that for oxygen for water.

Apply the model to the following data (from Truskey et al. (2004)) to find the maximum intercapillary radius for there to be no anoxic region: Metabolic rate = 1 × 10−7 mol/cm3 · s Capillary radius 1.5–4 μm DO2 = 2. × 10−5 cm2/s in tissue Oxygen concentration in blood at the given point 4.05 × 10−8 mol/cm3 Answers: 26.1 μm to 31.5 μm for the radius range shown above.