Match List I with List II
|
List-I |
List-II |
||
| (A) | 1 mol of H2O to O2 |
(I) | 3F |
| (B) | 1 mol of
to Mn2+ |
(II) | 2F |
| (C) | 1.5 mol of Ca from molten CaCl2 |
(III) | 1F |
| (D) | 1 mol of FeO to Fe2O3 |
(IV) | 5F |
Choose the correct answer from the options given below:
Correct Answer :
A-II, B-IV, C-I, D-III
Solution :
To find the correct match between List-I and List-II, we need to calculate the number of Faradays of electricity required for each conversion. The quantity of electricity required for the oxidation or reduction of 1 mole of a substance is given by the relation:
Charge () =
where is the number of moles of electrons transferred per mole of the reactant, and is Faraday's constant (1 Faraday = charge of 1 mole of electrons).
(A) Conversion of 1 mol of H2O to O2:
The oxidation reaction of water is:
Here, the oxidation state of oxygen changes from -2 in H2O to 0 in O2.
For 1 mole of H2O, 2 moles of electrons are released.
Therefore, the number of Faradays required = 2F.
This matches with (II).
(B) Conversion of 1 mol of MnO4- to Mn2+:
The reduction reaction is:
In MnO4-, the oxidation state of Mn is +7, and it is reduced to +2 in Mn2+.
The change in oxidation state per Mn atom = 7 - 2 = 5.
For 1 mole of MnO4-, 5 moles of electrons are required.
Therefore, the number of Faradays required = 5F.
This matches with (IV).
(C) Conversion of 1.5 mol of Ca from molten CaCl2:
The reduction reaction of calcium ion is:
To deposit 1 mole of Ca, 2 moles of electrons are required (2F).
To deposit 1.5 moles of Ca:
Number of Faradays required = .
This matches with (I).
(D) Conversion of 1 mol of FeO to Fe2O3:
The oxidation reaction is:
(or written per mole of FeO: )
In FeO, the oxidation state of Fe is +2. In Fe2O3, the oxidation state of Fe is +3.
The change in oxidation state per Fe atom = 3 - 2 = 1.
For 1 mole of FeO, 1 mole of electrons is released.
Therefore, the number of Faradays required = 1F.
This matches with (III).
Combining all the matches:
A-II, B-IV, C-I, D-III
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