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Question

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

P4(s)+OH(aq)PH3(g)+H2PO2(aq)

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Solution

Oxidation number method:
The oxidation number of P decreases from 0 to -3 and increases from 0 to +2. Hence, P4 is oxidizing as well as reducing agent.
During reduction, the total decrease in the oxidation number for 4 P atoms is 12.
During oxidation, total increase in the oxidation number for 4 P atoms is 4.
The increase in the oxidation number is balanced with decrease in the oxidation number by multiplying H2PO2 with 3.
P4(s)+OH(aq)PH3(g)+3H2PO2(aq)
To balance O atoms, multiply OH ions by 6.
P4(s)+6OH(aq)PH3(g)+3H2PO2(aq)
To balance H atoms, 3 water molecules are added to L.H.S and 3 hydroxide ions on R.H.S.
P4(s)+6OH(aq)+3H2O(l)PH3(g)+3H2PO2(aq)+3OH(aq)
Subtract 3 hydroxide ions from both sides.
P4(s)+3OH(aq)+3H2O(l)PH3(g)+3H2PO2(aq)
Ion electron method:
The oxidation half reaction is P4(s)H2PO2(aq).
The P atom is balanced.
P4(s)4H2PO2(aq)
The oxidation number is balanced by adding 4 electrons on RHS.
P4(s)4H2PO2(aq)+4e
The charge is balanced by adding 8 hydroxide ions on LHS.
P4(s)+8OH(aq)4H2PO2(aq)
The O and H atoms are balanced.
The reduction half reaction is P4(s)PH3(g).
The oxidation number is balanced by adding 12 eelctrons on LHS.
P4(s)+12ePH3(g)
The charge is balanced by adding 12 hydroxide ions on RHS.
P4(s)+12ePH3(g)+12OH
The oxidation half reaction is multiplied by 3 and the reduction half reaction is multiplied by 2.
The half reactions are then added to obtain balanced chemical equation.
P4(s)+3OH(aq)+3H2O(l)PH3(g)+3H2PO2(aq)

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