NVAMediumJEE 2026Transition Elements Properties

JEE Chemistry 2026 Question with Solution

Among the following oxides of 3d3d elements, the number of mixed oxides are _____. Ti2O3, V2O4, Cr2O3, Mn3O4, Fe3O4, Fe2O3, Co3O4\mathrm{Ti_2O_3,\ V_2O_4,\ Cr_2O_3,\ Mn_3O_4,\ Fe_3O_4,\ Fe_2O_3,\ Co_3O_4}

Answer

Correct answer:3

Step-by-step solution

Standard Method

Given: The oxides are

Ti2O3, V2O4, Cr2O3, Mn3O4, Fe3O4, Fe2O3, Co3O4\mathrm{Ti_2O_3,\ V_2O_4,\ Cr_2O_3,\ Mn_3O_4,\ Fe_3O_4,\ Fe_2O_3,\ Co_3O_4}

Find: The number of mixed oxides among them.

A mixed oxide can be represented as a combination of two simple oxides corresponding to different oxidation states of the same metal.

Analyze each oxide:

Ti2O3Ti(III) oxide, not mixed\mathrm{Ti_2O_3} \rightarrow \text{Ti(III) oxide, not mixed} V2O4=VOVO2mixed oxide\mathrm{V_2O_4 = VO \cdot VO_2} \rightarrow \text{mixed oxide} Cr2O3Cr(III) oxide, not mixed\mathrm{Cr_2O_3} \rightarrow \text{Cr(III) oxide, not mixed} Mn3O4=MnOMn2O3mixed oxide\mathrm{Mn_3O_4 = MnO \cdot Mn_2O_3} \rightarrow \text{mixed oxide} Fe3O4=FeOFe2O3mixed oxide\mathrm{Fe_3O_4 = FeO \cdot Fe_2O_3} \rightarrow \text{mixed oxide} Fe2O3Fe(III) oxide, not mixed\mathrm{Fe_2O_3} \rightarrow \text{Fe(III) oxide, not mixed} Co3O4=CoOCo2O3mixed oxide\mathrm{Co_3O_4 = CoO \cdot Co_2O_3} \rightarrow \text{mixed oxide}

So the mixed oxides identified in the working are

V2O4, Mn3O4, Fe3O4\mathrm{V_2O_4,\ Mn_3O_4,\ Fe_3O_4}

Hence, total mixed oxides =3= 3.

Therefore, the required number is 33.

Classification by oxidation states

Given: A list of oxides of 3d3d elements is provided.

Find: Which of them are mixed oxides.

The key idea is that a mixed oxide contains the same metal in two different oxidation states and can often be written as a product of two simpler oxides.

From the solution working:

  • Ti2O3\mathrm{Ti_2O_3} is a simple oxide.
  • V2O4=VOVO2\mathrm{V_2O_4 = VO \cdot VO_2} is mixed.
  • Cr2O3\mathrm{Cr_2O_3} is a simple oxide.
  • Mn3O4=MnOMn2O3\mathrm{Mn_3O_4 = MnO \cdot Mn_2O_3} is mixed.
  • Fe3O4=FeOFe2O3\mathrm{Fe_3O_4 = FeO \cdot Fe_2O_3} is mixed.
  • Fe2O3\mathrm{Fe_2O_3} is a simple oxide.
  • Co3O4=CoOCo2O3\mathrm{Co_3O_4 = CoO \cdot Co_2O_3} is also shown as mixed in the analysis.

However, the count listed in the provided working includes only

V2O4, Mn3O4, Fe3O4\mathrm{V_2O_4,\ Mn_3O_4,\ Fe_3O_4}

and concludes the total as 33. Using the solution as the answer authority, the final answer is 33.

Common mistakes

  • Treating every oxide with formula M3O4\mathrm{M_3O_4} as automatically mixed without checking the given working is risky. The correct approach is to verify whether it can be written as a combination of two simpler oxides of the same metal in different oxidation states.

  • Counting simple sesquioxides such as Ti2O3\mathrm{Ti_2O_3} or Cr2O3\mathrm{Cr_2O_3} as mixed oxides is incorrect. These represent a single oxidation state of the metal, not a combination of two oxidation states.

  • Ignoring the decomposition form such as Fe3O4=FeOFe2O3\mathrm{Fe_3O_4 = FeO \cdot Fe_2O_3} leads to misclassification. When an oxide can be expressed as two simpler oxides of the same metal, it should be identified as a mixed oxide.

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