While a softener may be utilized to eliminate some iron, it is simply not the best or an efficient method for iron reduction.
1 grain per gallon hardness equals 17.1 ppm hardness. Each 1 ppm iron will consume >85 ppm of softening capacity. Iron will also accumulate on the resin and will eventually impair the resin's ability to remove hardness. How rapidly the iron will accumulate will be influenced by variables such as the iron amount and water pH. Preventative maintenance will typically require ongoing manual resin cleanings using citric acid or commercial resin cleaners such as Super Iron Out. Salt for iron will include a small amount of acid to assist the salt to remove some iron from the resin, but if the iron level is significant, use of iron cleaning salt alone is usually insufficient to eliminate manual cleaning.
While there are better an more efficient methods for iron reduction, most people with a small amount of iron (ie:< 1ppm) will usually not want to spend additional funds for a dedicated iron reduction system. While some may argue the amount, on this forum, it is usually suggested to utilize a dedicated iron reduction system if the iron quantity is greater than 1 ppm.
This is my second well ... first one went dry. The first one had a strong sulfur smell. It may have been so strong that I just don't notice the lesser amount in my new one. (not new but newer!)If you have a sulfur smell also, there are backwashing filters that deal with the iron and H2S both. A softener will not help with a sulfur smell.
I just noticed that your test results say Hydrogen sufide: positive. Very few water reports include an H2S result, even the H2S qualitative report you got. Maybe get a young nose to sniff your water.
A 1.5 cuft softener would be sufficient for up to three people to soften and treat iron.
This is awkward, but...
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