MCQMediumJEE 2025VSEPR Theory & Shapes of Molecules

JEE Chemistry 2025 Question with Solution

A molecule with the formula AX2Y2AX_2Y_2 has all it's elements from p-block. Element A is rarest, monotomic, non-radioactive from its group and has the lowest ionization energy value among X and Y. Elements X and Y have first and second highest electronegativity values respectively among all the known elements. The shape of the molecule is:

  • A

    Square pyramidal

  • B

    Octahedral

  • C

    Planar

  • D

    Tetrahedral

Answer

Correct answer:A

Step-by-step solution

Standard Method

Given: A molecule with formula AX2Y2AX_2Y_2 is described using periodic trends. X has the highest electronegativity, Y has the second highest electronegativity, and A is the rarest monatomic non-radioactive element of its group with the lowest ionization energy among A, X, and Y.

Find: The shape of the molecule.

From the solution working, the most electronegative element is identified as fluorine, so X=FX = F. The second most electronegative element is identified as oxygen, so Y=OY = O. The rarest monatomic non-radioactive p-block element of its group with lower ionization energy than FF and OO is identified as xenon, so A=XeA = Xe.

Thus, the molecule considered in the solution is XeOF4{}_4. This indicates a discrepancy with the printed formula AX2Y2AX_2Y_2 in the question text; the solution clearly works with XeOF4{}_4 and concludes the geometry from that identified molecule.

Apply VSEPR theory to XeOF4{}_4:

Steric number=5+1=6\text{Steric number} = 5 + 1 = 6

There are 5 bonded atoms around xenon and 1 lone pair on xenon.

A steric number of 66 gives an octahedral electron-pair geometry. With one lone pair, the molecular shape becomes square pyramidal.

Therefore, the correct option is A.

Element Identification and VSEPR Analysis

Given: Use periodic trends and VSEPR theory.

Find: The shape of the molecule identified from the clues.

  1. The highest electronegativity belongs to fluorine, hence X=FX = F.
  2. The second highest electronegativity belongs to oxygen, hence Y=OY = O.
  3. The rarest monatomic non-radioactive element from the p-block noble gases is xenon. Also, xenon has lower first ionization energy than oxygen and fluorine, so A=XeA = Xe.

So the molecule used in the solution is XeOF4{}_4.

Square pyramidal structure of xenon oxytetrafluoride showing xenon at the center, four fluorine atoms in a square plane, and one oxygen atom in the axial position.

For xenon in XeOF4{}_4:

  • Xenon has 88 valence electrons.
  • It forms four bonds with fluorine and one bond domain with oxygen.
  • One lone pair remains on xenon.

Hence,

VSEPR type=AX5E1\text{VSEPR type} = AX_5E_1

which corresponds to square pyramidal molecular shape.

Therefore, the molecule has square pyramidal geometry, so the correct option is A.

Common mistakes

  • Identifying the electron-pair geometry as the molecular shape. A steric number of 66 gives octahedral electron geometry, but with one lone pair the molecular shape is square pyramidal. Always distinguish electron geometry from molecular geometry.

  • Using the printed formula AX2Y2AX_2Y_2 directly without checking the solution logic. The extracted solution clearly identifies the molecule as XeOF4{}_4 and derives the shape from that species. When the question and solution disagree, follow the worked solution and note the inconsistency.

  • Assuming oxygen contributes two separate atom positions because of a double bond. In VSEPR, a double bond counts as one electron domain, not two. Count bonded atoms or domains correctly before finding the steric number.

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