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Chemistry

Water hardness (as CaCO₃) calculator

Total water hardness as calcium carbonate equivalent, from calcium and magnesium ions.

What this calculator does

Water hardness (as CaCO₃) works out total water hardness as calcium carbonate equivalent, from calcium and magnesium ions. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

FormulaHardness = 2.497·[Ca²⁺] + 4.118·[Mg²⁺] (mg/L as CaCO₃)

The inputs explained

FieldWhat to enter
Calcium concentration [Ca²⁺] (mg/L)A number, measured in mg/L. Starts at 40.
Magnesium concentration [Mg²⁺] (mg/L)A number, measured in mg/L. Starts at 10.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with calcium concentration [ca²⁺]

Every other input is held at the calculator’s starting values while calcium concentration [ca²⁺] varies. Select any row to load that scenario into the calculator.

How the answer changes with calcium concentration [ca²⁺]
Calcium concentration [Ca²⁺] (mg/L)Water hardnessHardness in grains per gallonUSGS classification
2091.1 mg/L as CaCO₃5.32moderately hard
30116.1 mg/L as CaCO₃6.78moderately hard
40141.1 mg/L as CaCO₃8.24hard
60191.0 mg/L as CaCO₃11.16very hard
80240.9 mg/L as CaCO₃14.08very hard
120340.8 mg/L as CaCO₃19.91very hard