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Balance the following equation in basic medium by ion-electron method and oxidation number methods and identify the oxidising agent and the reducing agent. PX4(s)+OHX−(aq)⟶PHX3(g)+HPOX2−(aq)

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प्रश्न

Balance the following equation in basic medium by ion-electron method and oxidation number methods and identify the oxidising agent and the reducing agent.

\[\ce{P4(s) + OH–(aq) —> PH3(g) + HPO^–_2(aq)}\]

दीर्घउत्तर
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उत्तर

The O.N. (oxidation number) of P decreases from 0 in P4 to –3 in PH3 and increases from 0 in P4 to + 2 in `"HPO"_2^(-)`. Hence, P4 acts both as an oxidizing agent and a reducing agent in this reaction.

Ion-electron method:

The oxidation half equation is:

\[\ce{P4s →HPO2- (aq)}\]

The P atom is balanced as:

\[\ce{P4s →4HPO2- (aq)}\]

The O atom is balanced by adding 8 H2O molecules:

\[\ce{P4s + 8H2O → 4HPO2- (aq)}\]

The H atom is balanced by adding 12 H+ ions:

\[\ce{P4s +8H2O →4HPO2- (aq) + 12H+}\]

The charge is balanced by adding e– as:

\[\ce{P4s +8H2O →4HPO2- (aq) + 12H+ + 8e-}\]     ...(i)

The reduction half equation is:

\[\ce{P_{4(s)} -> PH_{3(g)}}\]

The P atom is balanced as:

\[\ce{P4 (s) → 4PH3(g)}\]

The H is balanced by adding 12 H+ as:

\[\ce{P4 (s) + 12H + → 4PH3(g)}\]

The charge is balanced by adding 12e– as:

\[\ce{P4 (s) + 12H+ +12e- → 4PH3(g)}\]      ...(ii)

By multiplying equation (i) with 3 and (ii) with 2 and then adding them, the balanced chemical equation can be obtained as:

\[\ce{5P4 (s) +24H2O →12HPO2^-  + 8PH3(g) +12H+}\]

As, the medium is basic, add 12OH– both sides as:

\[\ce{5P4 (s) +12H2O +12OH- →12HPO2^-  +8PH3(g)}\]

This is the required balanced equation.

Oxidation number method:

Let, total no of P reduced = x

∴ Total no of P oxidised = 4 – x

\[\ce{P4 (s) + OH- → xPH3(g) + 4 - xHPO2-}\]  ... (i)

Total decrease in oxidation number of P = x × 3 = 3x

Total increase in oxidation number of P

= (4 – x) × 2 = 8 – 2x

∵  3x = 8 – 2x
x = 8/5

From (i), 

\[\ce{5P4 (s) + 5OH- → 8PH3(g) + 12HPO2-}\]

Since, reaction occures in basic medium, the charge is balanced by adding 7OH– on LHS as:

\[\ce{5P4 (s) +12OH- → 8PH3(g) +12HPO2-}\]

The O atoms are balanced by adding 12H2O as:

\[\ce{5P4 (s) + 12H2O + 12OH- → +12HPO2-  + 8PH3(g)}\]

This is the required balanced equation.

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पाठ 7: Redox Reactions - EXERCISES [पृष्ठ २८२]

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एनसीईआरटी Chemistry Part 1 and 2 [English] Class 11
पाठ 7 Redox Reactions
EXERCISES | Q 8.19 - (a) | पृष्ठ २८२

संबंधित प्रश्‍न

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