We use the VSEPR (Valence Shell Electron Pair Repulsion) theory to determine the number of lone pairs and hybridization of the central atom, Xenon (Xe), in XeOF2.
(A) Valence Electrons of Central Atom (Xe): Xenon is a noble gas (Group 18), so it has 8 valence electrons.
(B) Electrons Used for Bonding:Total electrons used by Xe in bonding = 2 (for O) + 2 (for F) = 4 electrons.
(E) Non-bonding Electrons on Xe: Number of non-bonding electrons = (Total valence electrons of Xe) - (Electrons used in bonding) Number of non-bonding electrons = 8 - 4 = 4 electrons.
(F) Number of Lone Pairs on Xe:
Number of lone pairs = (Number of non-bonding electrons) / 2
Number of lone pairs = 4 / 2 = 2 lone pairs.
(G) Steric Number (SN):
SN = (Number of atoms bonded to Xe) + (Number of lone pairs on Xe)
SN = (1 O + 2 F) + 2 = 3 + 2 = 5.
(H) Hybridization: The hybridization corresponding to a steric number of 5 is sp3d.
Thus, Xenon in XeOF2 has 2 lone pairs of electrons and its hybridization is sp3d. This corresponds to option (D). The electron geometry is trigonal bipyramidal, and the molecular geometry is T-shaped.

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