...Recommendation of adding 2% extra lye to compensate for CA and add 1.5 -2 oz additional liquid....
I don't understand how you can blindly add 2% extra NaOH to "compensate" for the citric acid. IMO, it's better to do the calculations and know what you're doing, rather than rely on blanket assumptions.
"...My issue I believe lies in the recommended reduction of a formula oil to compensate for the lanolin. I need to work my numbers but I believe I missed something in my Calculations and my soap ended up lye heavy......."
Lanolin should be treated just like a regular fat -- enter it into the
soap recipe calculator just like any other fat, and let the calc do the math of calculating the NaOH weight. You don't need to reduce the other fats in order to "compensate" for the lanolin. It's a fat, albeit an unusual one, and there's nothing to compensate for. What you do want to keep in mind is lanolin is best used as a minor fat -- I limit lanolin to 5% or less of the total fats.
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...The excess citric acid would have neutralized the lye in your recipe, leaving you with little to no lye, and a whole lot of sodium citrate. Thus, I don’t believe that adding oils alone will work in this case....
As I understand it, the basic issue is the OP added 60 grams of NaOH to neutralize citric acid when only 6 grams were required, right?
If so, I can't see where the "whole lot of sodium citrate" is coming from. Weren't there only 10 grams of citric acid added to in this batch? Or did I miss where more was added? If only the 10 grams citric acid were added, then that acid reacted with 6 grams of NaOH, leaving 54 grams of NaOH with no acids to react with, thus making a lye heavy soap.
Rebatching with extra fat might not solve this problem very well. Most typical rebatch methods only use enough water to get the soap melted into a smooth paste. If I was absolutely determined to fix this batch, I'd probably use a "salting out" method where an excess of water is used and the lye and soap mixture is cooked for some time.
Honestly, this is a small batch with big troubles. Is it truly worth the time and trouble to try to fix it? It might be more productive and rewarding to trash this batch and make a new one using the correct numbers.
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The latest fad for the past the past year or two has been to use multiple additives in soap batches. These additives, including table salt, sodium lactate, sodium citrate, citric acid, vinegar (acetic acid), as well as various sugars, can and do interact with each other as well as with lye. This is leading to some unusual problems, especially when two or more salts are combined. Throw in a high temperature soap method, and the chance of problems jumps even higher.
This trend of using "everything including the kitchen sink" is causing soap to behave in unpredictable ways.