Among the following oxides of 3d elements, the number of mixed oxides are ____________.
\[
\mathrm{Ti_2O_3,\ V_2O_4,\ Cr_2O_3,\ Mn_3O_4,\ Fe_3O_4,\ Fe_2O_3,\ Co_3O_4}
\]
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Mixed oxides usually have formulas like \(M_3O_4\) and can be written as a combination of two simpler oxides.
The task is to identify the mixed oxides from the given list of 3d element oxides. Mixed oxides contain more than one oxidation state of the same metal in a single compound. To determine this, we will assess the oxidation states in each compound:
Ti2O3: Titanium has a single oxidation state of +3 here without mixing.
V2O4: Vanadium has an oxidation state of +4 for both atoms (not a mixed oxide).
Cr2O3: Chromium is in a +3 oxidation state only.
Mn3O4: Manganese oxidation states are +2 and +3, indicating a mixed oxide.
Fe3O4: Known as magnetite, iron is in +2 and +3 oxidation states, making it a mixed oxide.
Fe2O3: Iron is exclusively in the +3 oxidation state.
Co3O4: Cobalt exhibits +2 and +3 oxidation states, confirming it as a mixed oxide.
From this analysis, the mixed oxides are Mn3O4, Fe3O4, and Co3O4. Thus, the total count of mixed oxides is 3. This value falls within the given range of 3,3, confirming accuracy.