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Question: Why are all P-F bonds in \(P{F_5}\) are not equivalent? A.\(P{F_5}\) has \(s{p^3}d\) hybridisation...

Why are all P-F bonds in PF5P{F_5} are not equivalent?
A.PF5P{F_5} has sp3ds{p^3}d hybridisation, out of five P−FP - F bonds three are equatorial which have different lengths.
B.PF5P{F_5} has sp3s{p^3} hybridisation, out of P−FP - F bonds two are equatorial which have different lengths.
C.Out of five P−FP - F bonds two are axial and three equatorial. All five bonds have different bond lengths.
D.PF5P{F_5} is made up of two types of bond namely covalent and coordinate, hence are not equivalent.

Explanation

Solution

Hint : VSEPR Theory (valence shell electron pair repulsion theory) plays an important role in predicting shape of a molecule. PF5P{F_5} has 55 bond pairs of electrons and 00lone pairs of electrons which will be needed to know its shape. It’s hybridization is sp3ds{p^3}d .

Complete step by step solution :
Bonds to a non ring atom with an angle of about 90∘{90^ \circ } to the ring plane are termed axial.
Bonds to a non ring atom which make only a small angle compared with the plane of the ring are termed as equatorial bonds.
PF5P{F_5} is phosphorus pentafluoride. It has a 55 bond pair and a 00 lone pair. VSEPR Theory is used to predict the geometry of individual molecules from the number of electron pairs surrounding the central atom. According to this theory if a compound has 55 bond pair and 00 lone pair. Then it will have trigonal bipyramidal geometry.

This kind of geometry has sp3ds{p^3}d hybridization. This means PF5P{F_5} has trigonal bipyramidal geometry in which 3 bonds are at equatorial position and two bonds are at axial position. Bonds at axial position are larger in length because they experience more repulsion by 3 equatorial P−FP - F bonds, that is why all P−FP - F bonds in PF5P{F_5} are not equivalent.
So our answer to this question is option C that is Out of five P−FP - F bonds two are axial and three equatorial. All five bonds have different bond lengths.
Additional information: To explain the concept of shapes of molecules clearly hybridization was introduced. It involves intermixing of two or more atomic orbitals of slightly different energies but of the same atom so that a redistribution of energy takes place between them resulting in the formation of an equal number of new orbitals which are called hybrid orbitals which will have the same energy, size and shape.

Note : PF5P{F_5} is a neutral and non polar compound (compound having symmetric distribution of charge so that net charge is zero on compound) with 55 fluorine atoms attached to central phosphorus element and all these fluorine atoms are attached symmetrically around phosphorus metal.