Well, the diffusion rate out of a water would depend on:
1.The upper atmosphereic layer concentration of CO2, how well stirred this layer is.
2. The concentration differences between the water's CO2 and the air's.
3. The volume of the water relative to surface area available for exchange.
4. The influx of CO2 coming.
If you add plants/bacteria etc, then the effects will be greater between additions and uptake, basically you'll get higher high's and lower lows in the day and night times.
5. Diurnal fluctuations with dense plants
You can measure the CO2 loss yourself specifically for your tank.
I think most tanks with good plant growth, decent light run out in about 1 hour.
Studies that look solely at loss without plants involved really are non applicable here.
However, you can measure that easy enough.
Add CO2 to the tank etc and measure the lost under normal flow condition etc without plants.
A large lake might take several hours whereas your tank might take 30 minutes to draw down, at night, the CO2 lost will go down and the tank and lake will become a source of CO2 due to respiration.
So it depends on when you want to know how the CO2 is moving through the system as well.
Regards,
Tom Barr