Study Guides/Chemistry/Calcium Bicarbonate Formula — Ca(HCO₃)₂ and Temporary Hardness of Water
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Calcium Bicarbonate Formula — Ca(HCO₃)₂ Explained

The formula of calcium bicarbonate is Ca(HCO₃)₂, also called calcium hydrogen carbonate. It exists only in solution form and is the primary cause of temporary hardness in water. When water containing CO₂ flows over limestone (CaCO₃), it dissolves it to form Ca(HCO₃)₂, which makes the water temporarily hard.

Question (Click to Flip)

What is the formula of calcium bicarbonate?

Answer

The formula of calcium bicarbonate (calcium hydrogen carbonate) is Ca(HCO₃)₂. It contains one Ca²⁺ ion and two HCO₃⁻ (bicarbonate) ions. Its molar mass is 162.11 g/mol.

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Key Facts

Calcium bicarbonate formula is Ca(HCO₃)₂ (calcium hydrogen carbonate).

Molar mass of Ca(HCO₃)₂ = 162.11 g/mol.

Ca(HCO₃)₂ exists only in aqueous solution, not as a pure solid.

It is the primary cause of temporary hardness in water.

Temporary hardness is removed by boiling: Ca(HCO₃)₂ → CaCO₃↓ + H₂O + CO₂.

Formation: CaCO₃ + CO₂ + H₂O → Ca(HCO₃)₂ (limestone dissolving in CO₂-rich water).

Clark's process uses Ca(OH)₂ to remove temporary hardness by precipitating CaCO₃.

Limescale in kettles and boilers is CaCO₃ formed by decomposition of Ca(HCO₃)₂ on heating.

Chemical Formula and Structure

Chemical name: Calcium bicarbonate / Calcium hydrogen carbonate Molecular formula: Ca(HCO₃)₂ Molar mass: 162.11 g/mol

  • Ca = 40.08
  • 2 × H = 2 × 1.008 = 2.016
  • 2 × C = 2 × 12.011 = 24.022
  • 6 × O = 6 × 15.999 = 95.994 Total = 162.11 g/mol

Ca(HCO₃)₂ is an ionic compound. The calcium ion Ca²⁺ is balanced by two bicarbonate (hydrogen carbonate) ions HCO₃⁻. It does not exist in solid form under normal conditions — attempts to isolate it as a solid cause it to decompose.

Formation of Calcium Bicarbonate

Calcium bicarbonate forms when carbon dioxide dissolved in water reacts with calcium carbonate (limestone):

CaCO₃ + CO₂ + H₂O → Ca(HCO₃)₂

This is how natural water becomes temporarily hard. Rainwater absorbs CO₂ from the atmosphere and soil, forming weak carbonic acid (H₂CO₃). This acid then dissolves limestone: CaCO₃ + H₂CO₃ → Ca(HCO₃)₂

Alternatively: CaCO₃ + 2H⁺ → Ca²⁺ + H₂O + CO₂

The reverse reaction (decomposition) occurs upon heating.

Temporary Hardness of Water

Temporary hardness of water is caused by dissolved calcium bicarbonate Ca(HCO₃)₂ and magnesium bicarbonate Mg(HCO₃)₂. It is called 'temporary' because it can be removed by simply boiling the water:

Ca(HCO₃)₂ → CaCO₃↓ + H₂O + CO₂

On boiling, calcium bicarbonate decomposes back to insoluble calcium carbonate (which precipitates as scale/fur in kettles and boilers), water, and carbon dioxide gas. This removes the hardness.

Temporary hardness can also be removed by:

  1. Boiling — most common method
  2. Adding Ca(OH)₂ (lime softening, Clark's process): Ca(HCO₃)₂ + Ca(OH)₂ → 2CaCO₃↓ + 2H₂O
  3. Ion exchange process

Difference Between Temporary and Permanent Hardness

Temporary hardness:

  • Caused by: Ca(HCO₃)₂ and Mg(HCO₃)₂
  • Can be removed by: boiling or adding lime (Clark's process)
  • Salts involved: bicarbonates

Permanent hardness:

  • Caused by: CaSO₄, MgSO₄, CaCl₂, MgCl₂
  • Cannot be removed by boiling
  • Removed by: washing soda (Na₂CO₃), ion exchange resin, or permutit process
  • Salts involved: sulphates and chlorides

Total hardness = temporary hardness + permanent hardness Hardness is measured in ppm (parts per million) of CaCO₃ equivalent.

Physical and Chemical Properties

  • Exists only in solution (aqueous); cannot be isolated as a pure solid
  • Solutions are colourless and slightly alkaline due to HCO₃⁻ hydrolysis
  • Decomposes on heating: Ca(HCO₃)₂(aq) → CaCO₃(s) + H₂O(l) + CO₂(g)
  • Forms scale/limescale inside boilers, kettles, pipes and water heaters
  • Scale reduces heat transfer efficiency in boilers (economic problem)
  • Ca(HCO₃)₂ reacts with strong acids: Ca(HCO₃)₂ + 2HCl → CaCl₂ + 2H₂O + 2CO₂
  • Contributes to speleothem formation (stalactites and stalagmites in caves)

Questions and Answers

What is the formula of calcium bicarbonate?+

The formula of calcium bicarbonate (calcium hydrogen carbonate) is Ca(HCO₃)₂. It contains one Ca²⁺ ion and two HCO₃⁻ (bicarbonate) ions. Its molar mass is 162.11 g/mol.

What causes temporary hardness of water?+

Temporary hardness of water is caused by dissolved calcium bicarbonate Ca(HCO₃)₂ and magnesium bicarbonate Mg(HCO₃)₂. These form when CO₂-rich water dissolves limestone (CaCO₃) or magnesite.

How is temporary hardness removed from water?+

Temporary hardness is removed by boiling: Ca(HCO₃)₂ → CaCO₃↓ + H₂O + CO₂. It can also be removed by Clark's process (adding lime Ca(OH)₂): Ca(HCO₃)₂ + Ca(OH)₂ → 2CaCO₃↓ + 2H₂O.

Does calcium bicarbonate exist as a solid?+

No, calcium bicarbonate Ca(HCO₃)₂ does not exist as a stable solid under normal conditions. It exists only in aqueous solution. When attempts are made to isolate it as a solid, it decomposes to CaCO₃, H₂O, and CO₂.

How is calcium bicarbonate formed in nature?+

In nature, Ca(HCO₃)₂ forms when CO₂-rich rainwater reacts with limestone: CaCO₃ + CO₂ + H₂O → Ca(HCO₃)₂. This dissolves limestone, creating caves, and makes groundwater temporarily hard. It also causes stalactite and stalagmite formation.

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