For one of the FX series of developers Crawley insisted that potassium carbonate sesquihydrate must be used. In this case no substitution can be made. So as Michael points our not an easy problem.
Be sure to check your copy of The Darkroom Cookbook. Early copies of First Edition contained a number of significant errors. There should be an Erratum.
For some time Steve Anchell provided an errata page for the first and second edition of the Darkroom Cookbook. I never saw an errata list for the third edition, and despite some claims that it's "full of errors", nobody ever came up with anything credible.
To the original topic: the difference between Sodium and Potassium ion is their alkalinity (pKb 13 vs. 13.5), and this difference should be negligible in the pH range that most ordinary film developers work in. If a developer works at pH > 12.5, one wouldn't use Carbonate as alkali anyway. I would say that a mol for mol substitution should work in most cases. Differences could occur because of their different diffusibility as exemplified by the different fixing speed of Ammonium, Sodium and Potassium Thiosulfate.
all the historical errors mainly perpetuated after mistakes in the Photo Lab Index
Anchell's maths is right, to be more precise it's 0.89 times the weigh of Potassium Carbonate anhydrous when you substitute it with Sodium Carbonate monohydrate.
If I were to use the quotes from the 3rd edition as being accurate, and which were posted here, I would say that there are a few errors in the 3rd edition. I would not care to comment though as these were posted here by second parties. So....
There are errors everywhere.
(...) If you are serious about learning about the basics of photochemistry, The Darkroom Cookbook is not what you want to be reading.
I still don't understand. How would it be possible to reduce thirteen parts by weight (...) to 10 parts by weight using "0.90" ? (or 0,89) as multiplicator ?
Crawley BJP Jan 6 1961 commented on sodium vs potassium, including:
"Potassium Carbonate (dried) gives lower contrast than sodium,and therefore by the time the same contrast has built up will have produced better toe contrast,as they both give the same film speed this is probably the reason for our grandfathers' advice to use potassium carbonate for "detail development"."
100 g of Sodium Carbonate (Anhyd) is equivalent to 130 g Potassium Carbonate (anhyd), that's the fisrt page, then they are both equivalent to 120 g of Sodium Carbonate (monohyydrate) the ratio between the Sodium Carbonate (monohydrate) & the Potassium Carbonate (anhyd) is the 0.9 factor or (more accurately 0.89).
Ian
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