${PCl}_{5}$ exists but ${NCl}_{5}$ does not because :

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Nitrogen bas no vacant 2d-orbitals

${NCl}_{5}$ is unstable

Nitrogen atom is much smaller than P

Nitrogen is highly inert

answer is A.

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Detailed Solution

${PCl}_{5}$ forms five bonds by using the d-orbitals to "expand the octet" and have more places to put bonding pairs of electrons. ${NCl}_{5}$ does not exist because there are no d-orbitals in the second energy level. Therefore there is no way to arrange five pairs of bonding electrons around a nitrogen atom.

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