Hello Hexabromobenzene,
You mentioned that the "yield of sulfuric acid is 0.5-1 grams per ampere hour". I do think that is pretty good actually. If I did the math correctly
that equals a current efficiency of 27 to 54%.
I really like the idea of being able to obtain H2SO4 from Gypsum - the most easily obtainable sulfate.
I did a quick test run with a flowerpot and a suspension of Gypsum in Sodium Carbonate solution. My thoughts were that this will form Sodium Sulfate
and Calcium Carbonate and the conductivity would be better than just straight Gypsum. Indeed, I was able to read ~2A @ 6V. Unfortunately, current
efficiency was very low ~5%. So, I can confirm your observations you made in the beginning of your post.
Here a pic of the setup after I stopped the experiment:
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