A water sample contains 408 mg of CaSO₄ per liter. Calculatehardness
Question
A water sample contains 408 mg of CaSO₄ per liter. Calculatehardness
Solution
The hardness of water is typically measured in milligrams of calcium carbonate (CaCO3) per liter of water. However, your water sample contains calcium sulfate (CaSO4), so we need to convert this to the equivalent amount of calcium carbonate.
The molecular weight of CaSO4 is about 136.14 g/mol, and the molecular weight of CaCO3 is about 100.09 g/mol. The hardness of the water can be calculated using the following formula:
Hardness (as CaCO3) = (Concentration of CaSO4 in mg/L) * (Molecular weight of CaCO3 / Molecular weight of CaSO4)
Substituting the given values:
Hardness (as CaCO3) = 408 mg/L * (100.09 g/mol / 136.14 g/mol)
This gives a hardness of approximately 299.6 mg/L as CaCO3.
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