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${PCl}_{5} exist, but {NCl}_{5}$ does not exist because

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Nitrogen has no vacant 2-d orbital

${NCl}_{5}$ is unstable

N-atom is much smaller than P

Nitrogen is highly inert

answer is A.

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Detailed Solution

The excitation of 2d electron is not possible ( $∵$ 2d-orbital does not exist)

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