Calculation of Equivalent Calcium Carbonate Concentration of 110mg/l of CaCl2

Calculation Formula:
Equivalent Calcium Carbonate Concentration (mg/l) = Calcium Concentration (mg/l) x Calcium Carbonate Equivalent Factor

Calcium Carbonate Equivalent Factor:
The equivalent weight of calcium carbonate is 100 g/mol, while the equivalent weight of calcium chloride is 111 g/mol. Therefore, the calcium carbonate equivalent factor of calcium chloride is 100/111 = 0.90.

Calculation Steps:
1. Convert the given CaCl2 concentration from mg/l to moles/l by dividing by its molar mass (111 g/mol).
110 mg/l ÷ 111 g/mol = 0.991 mM (millimoles per liter)
2. Multiply the calculated CaCl2 concentration in mM by the calcium carbonate equivalent factor to obtain the equivalent calcium carbonate concentration in mM.
0.991 mM x 0.90 = 0.892 mM
3. Convert the equivalent calcium carbonate concentration from mM to mg/l by multiplying by the molar mass of calcium carbonate (100 g/mol) and dividing by 1000.
0.892 mM x 100 g/mol ÷ 1000 = 0.0892 mg/l

Answer:
The equivalent calcium carbonate concentration of 110 mg/l of CaCl2 is 0.0892 mg/l.

Note:
This calculation is important in water treatment and analysis, where the concentration of CaCl2 (or other calcium salts) needs to be converted to an equivalent concentration of calcium carbonate for comparison with regulatory or health-based guidelines.