If $B-Cl$ bond has a dipole moment, explain why $BCl_3$, molecule has zero dipole moment.

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As a result of the difference in the electronegativities of $\mathrm{B}$ and $\mathrm{Cl}$, the $\mathrm{B}-\mathrm{Cl}$ bond is polar in nature.

However, the $\mathrm{BCl}_{3}$ molecule is non-polar. This is because $\mathrm{BCl}_{3}$ is trigonal planar in shape. It is a symmetrical molecule.

Hence, the respective dipole-moments of the $\mathrm{B}-\mathrm{Cl}$ bond cancel each other, there by causing a zero-dipole moment.

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