PCl_3Br_2 exhibits geometric isomerism,and it | vedclass

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(D) The molecule $PCl_3Br_2$ has a trigonal bipyramidal geometry. For a molecule to have a zero dipole moment,it must be non-polar,meaning the individ

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Only $I$

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(D) The molecule $PCl_3Br_2$ has a trigonal bipyramidal geometry. For a molecule to have a zero dipole moment,it must be non-polar,meaning the individual bond dipoles must cancel each other out. In structure $I$,the two $Br$ atoms are in the axial positions,and the three $Cl$ atoms are in the equatorial positions. The axial $P-Br$ bonds cancel each other,and the three equatorial $P-Cl$ bonds are arranged at $120^{\circ}$ to each other,resulting in a net dipole moment of zero. In structure $II$ and $III$,the arrangement of $Cl$ and $Br$ atoms is such that the bond dipoles do not cancel out,resulting in a non-zero net dipole moment. Therefore,only structure $I$ has a dipole moment of zero.

$PCl_3Br_2$ exhibits geometric isomerism,and its geometric isomers are shown below. Which of these does not have a dipole moment?

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