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Q.Balance the given reaction by the oxidation number method: P4(s) + OH-(aq) -> PH3(g) + HPO2-(aq)

Rajasthan RbseRajasthan Board Senior Secondary Part-I Examination 2026Subjective· 3mImportance★★★★★
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P4 disproportionates in hot alkali to give PH3 plus hypophosphite ion; balanced by the oxidation-number method: P4 + 3OH- + 3H2O → PH3 + 3H2PO2-.

(Note: the hypophosphite ion's correct formula is H2PO2-, not 'HPO2-' as printed in the stem — this correct formula is used below, since HPO2- would not be charge/atom-balanceable with the correct phosphorus oxidation state.)

Step 1, assign oxidation numbers: In P4 (elemental phosphorus), P = 0. In PH3, each H is +1 (3 H's = +3 total), so P = -3 (since PH3 is neutral). In H2PO2- (hypophosphite ion), 2 H = +2, 2 O = -4, and overall charge = -1, so P + 2 - 4 = -1, giving P = +1.

Step 2, identify the changes: P going from 0 to -3 is a gain of 3 electrons per P atom (reduction, forming PH3). P going from 0 to +1 is a loss of 1 electron per P atom (oxidation, forming H2PO2-).

Step 3, balance electrons lost equal to electrons gained: for every 1 P atom reduced (gaining 3 electrons), we need 3 P atoms oxidised (each losing 1 electron, totalling 3 electrons lost) to balance. So out of the 4 P atoms in P4, 1 becomes PH3 and 3 become H2PO2-.

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