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Question: The type of hybridisation and number of lone pair(s) of electrons of Xe in \[XeO{F_{4}}\;\] respecti...

The type of hybridisation and number of lone pair(s) of electrons of Xe in XeOF4  XeO{F_{4}}\; respectively, are:
A.sp3ds{p^3}d\,and 1
B.sp3ds{p^3}d\,and 2
C.sp3d2s{p^3}{d^2}\,and 1
D.sp3d2s{p^3}{d^2}\,and 2

Explanation

Solution

To answer this question, you should recall that Xenon is a noble gas and when bonding it will have the tendency to use all the eight electrons in the outermost shell to form bond pairs. We know fluorine is a halogen and can form one sigma bond with the central atom and oxygen can form a double bond with the central atom. Now, use this information to answer the question.

Complete step by step answer:
Hybridization is defined as the concept of mixing two atomic orbitals with the same energy levels to give a degenerated new type of orbitals. This intermixing is based on quantum mechanics. XeOF4  XeO{F_{4}}\;has square pyramidal geometry. The central Xe{\text{Xe}}atom has one lone pair electrons and five bonding domains where it donates its outermost eight electrons to four sigma bonded fluorine and one double-bonded oxygen. This results in sp3d2s{p^3}{d^2} hybridisation. The geometry or shape is octahedral and the arrangement of electrons around the central atom in the molecule is square pyramidal. The structure can be drawn as:

Hence, the correct answer to this question is option C.

Note:
Even if you are not able to calculate the hybridisation using the above-mentioned you can find the hybridization (X)(X) using the formula: 12(V+HC+A)\frac{1}{2}(V + H - C + A) where
VV= Number of valence electrons in the central atom
HH= Number of surrounding monovalent atoms
CC= Cationic charge
AA= Anionic charge. The value of X will determine the hybridisation of the molecule. If XXis 2 then spsp; is 3 then sp2s{p^2} ; is 4 then sp3s{p^3}; is 5 then sp3ds{p^3}d ; is 6 then sp3d2s{p^3}{d^2} ; is 7 then sp3d3s{p^3}{d^3} hybridization.