Answer
Each of the following molecules have expanded octets.
$PCl_{5}$: P has 5 pairs of bonding electrons and hence needs 5 hybrid orbitals $dsp^{3}$
$SF_{6}$: S has 6 pairs of bonding electrons and hence needs 6 hybrid orbitals $d^{2}sp^{3}$
$IF_{7}$: P has 7 pairs of bonding electrons and hence needs 7 hybrid orbitals $d^{3}sp^{3}.$
Work Step by Step
Each of the following molecules have expanded octets.
$PCl_{5}$: P has 5 pairs of bonding electrons and hence needs 5 hybrid orbitals $dsp^{3}$
$SF_{6}$: S has 6 pairs of bonding electrons and hence needs 6 hybrid orbitals $d^{2}sp^{3}$
$IF_{7}$: P has 7 pairs of bonding electrons and hence needs 7 hybrid orbitals $d^{3}sp^{3}.$
