In other words, I don't want the biochar to be a nitrogen sink when I incorporate it in the soil, but neither do I want it to be a source.
As far as the former, if you have a large volume of nitrogen in saturated solution and you immerse the char in it, then you will max out what liquid the char can hold unless you have more solids involved that can fill voids. The inclusion of more solid materials would be directly related to the amount of surface area that the solids could involve themselves with, thus your biochar and soil particle size would be an important factor, as would your levels of organic matter in the soil. At any rate, you will likely not
experience nitrogen draw down in your soil if you have provided a saturated nitrogen solution to your char. I'm not sure that you will have much luck with the latter. If the char is saturated with nitrogen, then it will likely be a source of nitrogen to the soil as some of the soil community will no doubt be incorporated inside the char and thus with the nitrogen.
Out of curiosity, if this is an experiment, how are you going to set up your controls?
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