Balanced equation for the decomposition of Iron (III) Hydrogen Carbonate?

Iron(III) hydrogen carbonate, also known as ferric bicarbonate, is not a stable compound and does not exist in pure form. Therefore, it cannot decompose in the way that you're asking for a balanced equation. Iron(III) compounds typically form stable oxides or hydroxides when they react with carbonates or bicarbonates.

However, if you're interested in a general reaction involving iron(III) ions and carbonate or bicarbonate ions, you can consider the following reaction:

2 Fe³⁺ + 3 CO₃²⁻ + 6 H₂O → 2 Fe(OH)₃ + 3 H₂CO₃

In this reaction, iron(III) ions (Fe³⁺) react with carbonate ions (CO₃²⁻) and water (H₂O) to form iron(III) hydroxide (Fe(OH)₃) and carbonic acid (H₂CO₃). Note that carbonic acid is not stable and can further decompose into carbon dioxide (CO₂) and water (H₂O):

H₂CO₃ → CO₂ + H₂O

So, the overall reaction can be represented as:

2 Fe³⁺ + 3 CO₃²⁻ + 6 H₂O → 2 Fe(OH)₃ + 3 CO₂

This equation represents a reaction involving iron(III) ions and carbonate ions, which can occur in certain chemical contexts, but it's not specific to iron(III) hydrogen carbonate because that compound is not stable.