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Question

Consider the following reaction.
P4+xOH+yH2OPH3+zHPO2
Find the sum of x, y and z, when the above reaction is balanced.

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Solution

The reaction is a disproportionation reaction:
Oxidation reaction:
P44H2PO2+4e ( P oxidation changed from 0 to +1)

Reduction reaction:
P4+12e4PH3 ( P reduction changed from 0 to -3)
P4PH3+3H2PO2

balance the by adding OH on the left-hand side

P4+3OHPH3+3H2PO2

Adding water to balance the hydrogen,
P4+3OH+3H2OPH3+3H2PO2

x=3,y=3,z=3
x+y+z=9


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