A large deep lake, which initially had a uniform oxygen concentration of 1 kg/m3, has its surface concentration suddenly raised and maintained at a 9 kg/m3 concentration level. Reduce the general differential equation for mass transfer to write the specific differential equation for (a) the transfer of oxygen into the lake without the presence of chemical reaction. (b) the transfer of oxygen into the lake that occurs with the simultaneous disappearance of oxygen by a first-order biological reaction.

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
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A large deep lake, which initially had a uniform oxygen concentration of 1 kg/m3,
has its surface concentration suddenly raised and maintained at a 9 kg/m3 concentration
level.
Reduce the general differential equation for mass transfer to write the specific
differential equation for
(a) the transfer of oxygen into the lake without the presence of chemical
reaction.
(b) the transfer of oxygen into the lake that occurs with the simultaneous
disappearance of oxygen by a first-order biological reaction. 

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