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For elements like O2 and Cl2, they will always have an oxidation state of zero because they are neutral diatomics. One oxygen atom can't be a negative 2 charge and the other atom be a positive 2 charge. If the elements are solids, liquids, or it is some sort of diatomic molecule, the oxidation states should be zero.
The oxidation numbers will be zero for elements in their natural state. O2 and Cl2 are found naturally as diatomic gas molecules so when in that form, they will have an oxidation state of zero. If metals like Zn are in their natural solid state, then they will also have an oxidation number of zero.
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