A large deep lake, which initially had a uniform oxygen concentration of 1 kg/m3 , has its surface concentration suddenly raised and maintained at 9 kg/m3 concentration.

A large deep lake, which initially had a uniform oxygen concentration of 1 kg/m3 , has its surface concentration suddenly raised and maintained at 9 kg/m3 concentration.

a. Draw a picture of the physical process. Select a coordinate system to describe this diffusion process. Write the general form of the oxygen species continuity equation for this system.

b. Reduce the general differential equation for the mass transfer process for the transfer of oxygen into the lake without the presence of a chemical reaction.

c. Reduce the general differential equation for the mass transfer process for the transfer of oxygen into the lake occurs with the simultaneous consumption of oxygen by a first order biological reaction, ?? = −??0.

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