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In $\mathrm{BrF}_3$ molecule, the lone pairs occupy equatorial positions to minimize:
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lone pair-lone pair repulsion and lone pair-bond pair repulsion
In $\mathrm{BrF}_3$ molecule, the lone pair occupies equatorial position to minimize lone pair-lone pair repulsion and lone pair-bond pair repulsion as per VSEPR theory.
Related Theory
$\mathrm{BrF}_3$ molecular geometry is said to be T-shaped or Trigonal bipyramidal
Related Theory
$\mathrm{BrF}_3$ molecular geometry is said to be T-shaped or Trigonal bipyramidal
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