I've come across a statement in a paper* that's poorly explained, and I can't work out the reasoning behind it. I suspect this is embarrassingly basic, but could anyone please explain the theory behind the following (from the bottom of the second paragraph of the discussion)?
For a reaction involving B(OH)4- and CO32-, a B(OH)4- can balance the charge of only 1/2 a CO32-, thus a dependence [of the B/Ca ratio in synthetic aragonite] on [B(OH)4-]/[CO32-]0.5 would be expected.
I'm unsure why a power law applies here.
* Holcomb, M.; DeCarlo, T. M.; Gaetani, G. A.; McCulloch, M. Factors affecting B/Ca ratios in synthetic aragonite. Chem. Geol. 2016, 437, 67–76. DOI: 10.1016/j.chemgeo.2016.05.007.