If total hardness of water is greater than its total alkalinity, then carbonate hardness will be equal to
- ATotal alkalinityCorrect
- BTotal hardness
- CTotal hardness - total alkalinity
- DNon-carbonate hardness
Solution
Concept
Carbonate and non-carbonate hardness
Formula
If TH > Alkalinity: carbonate hardness = alkalinity; non-carbonate hardness = TH − alkalinity
Step-by-step solution
1. Carbonate hardness is that part of hardness that is balanced by alkalinity (bicarbonates, carbonates). 2. When total hardness is greater than total alkalinity, carbonate hardness = total alkalinity. 3. Non-carbonate hardness = TH − alkalinity.
Explanation
Carbonate hardness cannot exceed the alkalinity, because alkalinity measures the carbonate and bicarbonate ions that pair with the hardness-causing cations. The excess hardness is non-carbonate.
Shortcut
TH > Alk → CH = Alk, NCH = TH − Alk. TH < Alk → CH = TH, NCH = 0.
Common mistake
Taking the difference as carbonate hardness.
Correct answer: A) Total alkalinity