The greatest bond length is found in (a) \(\mathrm{O}_{2} ;\) (b) \(\mathrm{N}_{2}\) (c) \(\mathrm{Br}_{2} ;\) (d) BrCl.

Short Answer

Expert verified
The compound with the greatest bond length is BrCl.

Step by step solution

01

Identifying atomic sizes

The first step involves identifying which atoms are larger. Oxygen, Nitrogen and Bromine. Bromine being in the 4th period of the periodic table is larger than Nitrogen and Oxygen which are in the 2nd period of the periodic table.
02

Identify nature of bond

Next, look at the nature of the bonds in the compounds. \(\mathrm{O}_{2}\) and \(\mathrm{N}_{2}\) both have double and triple bonds respectively making them shorter. \(\mathrm{Br}_{2}\) has a single bond and BrCl involves two different larger atoms, possibly leading to a longer bond length.
03

Compare and conclude

Comparing the bond lengths, the single bond between two larger bromine atoms in \(\mathrm{Br}_{2}\) and between bromine and chlorine in BrCl would be generally longer than the double bond in \(\mathrm{O}_{2}\) and the triple bond in \(\mathrm{N}_{2}\). However, between \(\mathrm{Br}_{2}\) and BrCl, the bond length of BrCl would likely be larger as bond lengths tend to increase with the increase in atomic size difference. Hence, BrCl has the greatest bond length among the given compounds.

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