Question Details

Match List I with List II

List-I
(Conversion)

List-II
(Number of Faraday required)

(A) 1 mol of  H2O to O2
(I) 3F
(B) 1 mol of  M n O 4 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:

Options

A

A-II, B-IV, C-I, D-III

B

A-III, B-IV, C-I, D-II

C

A-II, B-III, C-I, D-IV

D

A-III, B-IV, C-II, D-I

Show Answer

Correct Answer :

Option A

A-II, B-IV, C-I, D-III

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 (Q) = n×F
where n is the number of moles of electrons transferred per mole of the reactant, and F 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:
H2O12O2+2H++2e
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:
MnO4+8H++5eMn2++4H2O
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:
Ca2++2eCa
To deposit 1 mole of Ca, 2 moles of electrons are required (2F).
To deposit 1.5 moles of Ca:
Number of Faradays required = 1.5×2F=3F.
This matches with (I).

(D) Conversion of 1 mol of FeO to Fe2O3:
The oxidation reaction is:
2FeOFe2O3+2H+ (or written per mole of FeO: Fe2+Fe3++e)
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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