The amount of salt added by chlorine addition depends on the type of chlorine that is used. For sodium hypochlorite and lithium hypochlorite, every 1 ppm FC increases salt by 1.65 ppm. For Trichlor and Dichlor, every 1 ppm FC increases salt by 0.82 ppm. The extra salt in the hypochlorite sources comes from the way it is made:
Cl2 + 2NaOH ---> NaOCl + NaCl + H2O
Cal-Hypo is in between since it forms a solid where it is apparently more easily separable from the salt so it has around 1.2 ppm salt. I'm not sure why lithium hypochlorite, which is also a solid, is similar to sodium hypochlorite, but it is (I know the above equation still applies, but not sure why Cal-Hypo is more easily separated than lithium hypochlorite.
The 1:1 or 1:2 molar relationships have a molecular weight factor of sodium chloride weight to chlorine gas weight so 58.44/(2*35.453) = 0.824
The salt tests measure chloride, but report their results in ppm sodium chloride units.
So yes, salt builds up over time if there is no water dilution. At 2 ppm FC per day using bleach or chlorinating liquid, then after 6 months this is almost 600 ppm salt added. This is one reason why I dilute my pool water with winter rains every season since I have no backwashing due to my over-sized cartridge filter I only need to clean once a year. A backwash of only 2 or 3 times a year would barely dent the salt level in a 20,000 gallon pool -- even a 500 gallon backwash 3 times a year would lower salt by only 7.5%
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