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Chemical Bonding And Molecular Structure

Question
CBSEENCH11008314

Which of the following has the minimum bond length?

  • O2-

  • O22-

  • O2

  • O2+

Solution

D.

O2+

Bond space order space equals fraction numerator space straight n subscript straight b space minus straight n subscript straight a over denominator 2 end fraction
therefore space the space bond space order space of space given space molecule
Bond space order space of space straight O subscript 2 superscript space plus end superscript space equals space fraction numerator 10 minus 5 over denominator 2 end fraction space equals space 2.5

Bond space order space of space straight O subscript 2 superscript space minus end superscript space equals space fraction numerator 10 minus 7 over denominator 2 end fraction space equals space 1.5

Bond space order space of space straight O subscript 2 superscript space 2 minus end superscript space equals space fraction numerator 10 minus 8 over denominator 2 end fraction space equals space 1

Bond space order space of space straight O subscript 2 superscript space space equals space fraction numerator 10 minus 6 over denominator 2 end fraction space equals space 2
therefore, maximum bond order = minimum bond length.
Hence bond length is minimum for O2+