I would guess that this would be difficult to answer, since it will depend on local factors. How deep is the soil-depth? Is it uniform over one hectare? Which materials are the soil made out of, is it porous or tightly packed? I would assume that whatever answer can be discern from the above will have a large range of uncertainty, correct me if I'm wrong.
We often consider 6 inches or 15 cm for depth of soil for most of the field crops cultivation. I agree with you it also depends on the uniformity and parent material of soil but My question is about average basis.
The post by Brobst illustrates the usual calculations. If instead, one considers 15 cm of topsoil usually described at the "tillage depth", that is 2,000,000 kg or 2,000 mt/ha. For varied bulk density the calculation would vary, but that is hardly needed for most agricultural calculations.
20 g biochar/kg soil = 2% biochar. That would be 20 t biochar/ha. A very expensive choice for a soil amendment. Biochar is not a "miracle" amendment that makes that cost a necessary improvement for farm soils. For remediation of contaminated soils, the biochar may be a valuable and needed amendment.