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When white phosphorus burns:
P4 + 5 O2 → 2 P2O5
The formed phosphorus pentoxide absorbs water from your tissues and quickly converts into phosphoric acid which then burns your skin:
P2O5 + 3 H2O → 2 H3PO4
These weapons are particularly dangerous to exposed people because white phosphorus continues to burn unless deprived of oxygen or until it is completely consumed. In some cases, burns are limited to areas of exposed skin because the smaller WP particles do not burn completely through personal clothing before being consumed.