Completely agree with Caleb and Yash.
You probably don't need to add baking soda once the reaction stops, the acid is neutralized. I've never added baking soda, but I've always had a large amount immediately available in case I wanted or NEEDED to stop the reaction.
I've done acid baths multiple times. The last go around was with 300 lbs of brand new, bone dry, Marco Rock. It was already very clean and VERY porous. In order to control the reaction and not dissolve too much of the rock, I used a 20:1 ratio. The reaction ran its course in about 10 minutes. I repeated this cycle 2 or 3 times until I got the "porousness" that I liked.
Since I was still mid-build on my setup, I had time to play with. So I pressure washed the rock after the acid bath, let it dry outside in the sun for about a week, then put it all in RO/DI water. I left it in the RO/DI water (changing the water every week) until the end of my build......which was several months later.
Did I get any benefit from putting the Marco Rock through that process? Who knows. My "new" system has only been up since about February, but I have no trouble with "problem" algae. I'm even having a hard time growing green stuff on my ATS.
I say you do it! It's a quick and effective way to clean the rock. Just be careful:
1) Do it outside
2) ADD ACID TO THE WATER (can't be said enough)
3) Wear long sleeves and pants
4) Wear safety glasses
5) Wear chemical resistant gloves
6) Stay away from the fumes/wear a mask
7) Keep plenty of baking soda on hand
8) And join the dang club already dude......$20 you cheapskate!