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Question: The electric charge required to oxidise 1 mole of \[{{\text{H}}_{\text{2}}}{\text{O}}\] to \[{\text{...

The electric charge required to oxidise 1 mole of H2O{{\text{H}}_{\text{2}}}{\text{O}} to O{\text{O}} is
A. 96500 Coulomb
B. 193000 Coulomb
C. 386000 Coulomb
D. 48250 Coulomb

Explanation

Solution

Write the reaction for the oxidation of 1 mole of H2O{{\text{H}}_{\text{2}}}{\text{O}}. Determine the number of electron transfers. Using the relation between moles of electron and charge calculate the electric charge required to oxidise 1 mole of H2O{{\text{H}}_{\text{2}}}{\text{O}} to O{\text{O}}.

Complete Step by step answer: The oxidation reaction for 1 mole of H2O{{\text{H}}_{\text{2}}}{\text{O}} is as follows:
H2O H2 + 12O2{{\text{H}}_{\text{2}}}{\text{O}} \to {\text{ }}{{\text{H}}_{\text{2}}}{\text{ + }}\dfrac{1}{2}{{\text{O}}_{\text{2}}}
From the reaction, we can say that 1 mole of H2O{{\text{H}}_{\text{2}}}{\text{O}} oxidised to give 1 atomO{\text{O}} . In this reaction O{\text{O}} of H2O{{\text{H}}_{\text{2}}}{\text{O}}
oxidised from -2 to 0.
So we can write the reaction as follows:
O2 - 12O2 + 2e - {{\text{O}}^{\text{2}}}^{\text{ - }} \to \dfrac{1}{2}{{\text{O}}_{\text{2}}}{\text{ + 2}}{{\text{e}}^{\text{ - }}}
Using this reaction we can calculate the electric charge required to oxidise 1 mole of H2O{{\text{H}}_{\text{2}}}{\text{O}} to O{\text{O}} as follows:
Electric charge = nF{\text{Electric charge = }}nF
Where,
nn = number of electron transfer
FF = Faraday constant = 96500 Coulomb
From the reaction we can say that there is a transfer of 2 electrons so we can calculate the electric charge as follows:
Electric charge = 2×96500 Coulomb = 193000 Coulomb{\text{Electric charge = 2}} \times {\text{96500 Coulomb = 193000 Coulomb}}
The electric charge required to oxidise 1 mole of H2O{{\text{H}}_{\text{2}}}{\text{O}} to O{\text{O}}is 193000 Coulomb.

Thus, the correct option is (B).

Note: Oxidation is the loss of electrons. To calculate the electric charge required to oxidise 1 mole of H2O{{\text{H}}_{\text{2}}}{\text{O}} it is very important to determine the loss of electrons correctly. The electric charge required to oxidise any species is directly proportional to the number of electrons transferred. The greater the number of electrons transferred greater is the electric charge.