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Exercises · 7.9

Q.Consider the reactions:

(a) 6CO2(g) + 6H2O(l) → C6H12O6(aq) + 6O2(g)
(b) O3(g) + H2O2(l) → H2O(l) + 2O2(g) Why it is more appropriate to write these reactions as :
(a) 6CO2(g) + 12H2O(l) → C6H12O6(aq) + 6H2O(l) + 6O2(g)
(b) O3(g) + H2O2(l) → H2O(l) + O2(g) + O2(g) Also suggest a technique to investigate the path of the above
(a) and
(b) redox reactions.
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The original equations hide the fact that water is both a reactant and a product in photosynthesis, and that ozone and hydrogen peroxide each contribute one oxygen atom to form dioxygen. The balanced forms make the electron‑transfer paths explicit. The path can be investigated using isotopic labelling (tracer technique).


Why the original equations are misleading

Both reactions are redox reactions — electrons are transferred between species, and the oxidation states of key atoms change. The original equations (a) and (b) are chemically correct in terms of atom balance, but they obscure the actual mechanism of electron transfer. In redox chemistry, it is crucial to see which atoms lose electrons (are oxidised) and which gain electrons (are reduced). The rewritten forms make these half‑reactions visible.


1. Reaction (a) — Photosynthesis

The classic equation

6 CO2+6 H2O→C6H12O6+6 O26\,\mathrm{CO_2} + 6\,\mathrm{H_2O} \rightarrow \mathrm{C_6H_{12}O_6} + 6\,\mathrm{O_2}

suggests that the oxygen in O2\mathrm{O_2} comes from CO2\mathrm{CO_2}. But experiments (using isotopic oxygen‑18) show that all the O2\mathrm{O_2} released comes from water, not from carbon dioxide.

The correct half‑reactions are:

  • Oxidation (loss of electrons):

2 H2O→O2+4 H++4 e−2\,\mathrm{H_2O} \rightarrow \mathrm{O_2} + 4\,\mathrm{H^+} + 4\,e^-

  • Reduction (gain of electrons):

CO2+4 H++4 e−→16 C6H12O6+H2O\mathrm{CO_2} + 4\,\mathrm{H^+} + 4\,e^- \rightarrow \frac{1}{6}\,\mathrm{C_6H_{12}O_6} + \mathrm{H_2O}

To see the full stoichiometry, multiply the oxidation half‑reaction by 6 (to produce 6 O2\mathrm{O_2}) and the reduction half‑reaction by 6 (to consume 6 CO2\mathrm{CO_2}). Adding them gives:

6 CO2+12 H2O→C6H12O6+6 H2O+6 O26\,\mathrm{CO_2} + 12\,\mathrm{H_2O} \rightarrow \mathrm{C_6H_{12}O_6} + 6\,\mathrm{H_2O} + 6\,\mathrm{O_2}

The 12 water molecules on the left are the source of the 6 O2\mathrm{O_2} molecules. The 6 water molecules on the right are a product of the reduction step. So water appears on both sides — it is not simply a reactant; it is both consumed and produced.

Watch out

A common mistake is to cancel the 6 H2O\mathrm{H_2O} from both sides, returning to the original equation. That would hide the fact that the oxygen in O2\mathrm{O_2} comes exclusively from water. The 12‑water form is the mechanistically correct representation.


2. Reaction (b) — Ozone with hydrogen peroxide

The original equation

O3+H2O2→H2O+2 O2\mathrm{O_3} + \mathrm{H_2O_2} \rightarrow \mathrm{H_2O} + 2\,\mathrm{O_2}

is balanced, but it does not show which oxygen atoms end up where. In reality, the reaction proceeds via two distinct steps:

  • Step 1: Ozone oxidises hydrogen peroxide:

O3+H2O2→H2O+O2+O2\mathrm{O_3} + \mathrm{H_2O_2} \rightarrow \mathrm{H_2O} + \mathrm{O_2} + \mathrm{O_2}

Here, one oxygen atom from O3\mathrm{O_3} and one from H2O2\mathrm{H_2O_2} combine to form one O2\mathrm{O_2} molecule. The remaining two oxygen atoms from O3\mathrm{O_3} form the second O2\mathrm{O_2}.

  • Step 2 (if written separately): The extra O2\mathrm{O_2} is just a product — no further reaction.

The rewritten form

O3+H2O2→H2O+O2+O2\mathrm{O_3} + \mathrm{H_2O_2} \rightarrow \mathrm{H_2O} + \mathrm{O_2} + \mathrm{O_2}

makes it clear that two distinct dioxygen molecules are formed from different sources. The original equation lumps them together as 2 O22\,\mathrm{O_2}, which hides the fact that one O2\mathrm{O_2} comes from the peroxide and the other from the ozone. …

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