To assess the veracity of the provided statements regarding hybridization, each statement will be examined independently.
- Statement I Evaluation: "PF5 and BrF5 both exhibit sp3d hybridization."
- \(\text{PF}_5\): In phosphorus pentafluoride, phosphorus is the central atom bonded to five fluorine atoms. The hybridization of phosphorus in PF5 is sp3d, resulting in a trigonal bipyramidal geometry. This is accurate.
- \(\text{BrF}_5\): Bromine pentafluoride features bromine as the central atom bonded to five fluorine atoms and possessing one lone pair. The hybridization in this case is sp3d2, leading to a square pyramidal geometry. Statement I asserts sp3d hybridization, which is incorrect for BrF5.
- Statement II Evaluation: "Both SF6 and [Co(NH3)6]3+ exhibit sp3d2 hybridization."
- \(\text{SF}_6\): In sulfur hexafluoride, sulfur is bonded to six fluorine atoms. The hybridization of sulfur in SF6 is indeed sp3d2, forming an octahedral shape. This is accurate.
- \([\text{Co}(\text{NH}_3)_6]^{3+}\): Within this complex, cobalt is coordinated by six ammonia ligands. The metal-ligand bond formation involves d2sp3 hybridization when considering inner orbital complex formation (a low-spin complex as per ligand field theory), not sp3d2. Consequently, the statement is inaccurate regarding this complex.
Following the analysis of both statements, the conclusions are:
- Statement I is false because BrF5 does not exhibit sp3d hybridization.
- Statement II is also false because [Co(NH3)6]3+ exhibits d2sp3 hybridization for this specific complex, not sp3d2.
Therefore, the correct determination is: Both Statement I and Statement II are false.