the seasonally averaged sulfate concentration in thepore water of a lake sediment is 50 uM (micro moles) at thesediment-water interface, but only 5 uM at a depth 0.2 cm below theinterface.
a. how much sulfate can be removed each year from this lake bydiffusion into the sediment? assume an effective diffusioncoefficient of 10^-6 cm^2/sec, and a lake area of 60 ha.
b. at what rate would this removal of sulfate cause lake alkalinityto rise if the lake has an avg. depth of 7m and and there were noother sources or sinks of sulfate?
c. in reality, the lake has an inflow if 5*10^6 m^3/yr, and sulfateconcentration in the inflow is 52 uM. outflow is 4.5*10 m^3/ur,with no conc. of 50 uM of SO4^2-. neglect any other sources orsinks of SO4^2- , assume the lake to be well mixed and estimate theatmospheric input of SO4^2- .
