Air oxygen (A) dissolves in a shallow stagnant pond and is consumed by microorganisms. The rate of the consumption can be approximated by a first order reaction, i.e. rA = −kCA, where k is the reaction rate constant in 1/time and CA is the oxygen concentration in mol/volume. The pond can be considered dilute in oxygen content due to the low solubility of oxygen in water (B). The diffusion coefficient of oxygen in water is DAB. Oxygen concentration at the pond surface, CAo, is known. The depth and surface area of the pond are L and S, respectively. a. Derive a relation for the steady state oxygen concentration distribution in the pond. b. Obtain steady state oxygen consumption rate in the pond.
Air oxygen (A) dissolves in a shallow stagnant pond and is consumed by microorganisms. The rate of the consumption can be approximated by a first order reaction, i.e. rA = −kCA, where k is the reaction rate constant in 1/time and CA is the oxygen concentration in mol/volume. The pond can be considered dilute in oxygen content due to the low solubility of oxygen in water (B). The diffusion coefficient of oxygen in water is DAB. Oxygen concentration at the pond surface, CAo, is known. The depth and surface area of the pond are L and S, respectively. a. Derive a relation for the steady state oxygen concentration distribution in the pond. b. Obtain steady state oxygen consumption rate in the pond.
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Air oxygen (A) dissolves in a shallow stagnant pond and is consumed by
microorganisms. The rate of the consumption can be approximated by a first order reaction,
i.e. rA = −kCA, where k is the reaction rate constant in 1/time and CA is the oxygen
concentration in mol/volume. The pond can be considered dilute in oxygen content due to the
low solubility of oxygen in water (B). The diffusion coefficient of oxygen in water is DAB.
Oxygen concentration at the pond surface, CAo, is known. The depth and surface area of the
pond are L and S, respectively.
a. Derive a relation for the steady state oxygen concentration distribution in the pond.
b. Obtain steady state oxygen consumption rate in the pond.
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