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Chemical Bonding And Molecular Structure

Question
CBSEENCH11005790

Calculate the bond order of He subscript 2 superscript plus comma space straight O subscript 2 superscript minus comma space straight O subscript 2 superscript plus molecular ions. 

Solution
left parenthesis straight i right parenthesis space Number space of space bonding space orbital space in space He subscript 2 superscript plus space equals 2
space Number space of space antibondin space orbital space in space He subscript 2 superscript plus space equals 1

space Bond space order space of space He subscript 2 superscript plus space equals space 1 half open square brackets straight N subscript straight b minus straight N subscript straight a close square brackets
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 1 half left square bracket 2 minus 1 right square bracket space equals 1 half

left parenthesis ii right parenthesis Bond space order space of space straight O subscript 2 superscript minus comma space space left parenthesis superoxide space ion right parenthesis
Number space of space bonding space orbital space in space straight O subscript 2 superscript minus subscript 2 superscript plus space equals 8
space Number space of space antibondin space orbital space inO subscript 2 superscript minus space equals 5
space
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 1 half left square bracket straight N subscript straight b space minus space straight N subscript straight a right square bracket
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 half left square bracket 8 minus 5 right square bracket space equals space 1.5
left parenthesis iii right parenthesis space Number space of space bonding space orbital space in space straight O subscript 2 superscript plus space equals 8
space Number space of space antibondin space orbital space in space straight O subscript 2 superscript plus space equals 3
Bond space order space of space straight O subscript 2 superscript plus left parenthesis oxygen space molecular space cation right parenthesis
space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 half left square bracket straight N subscript straight b minus space straight N subscript straight a right square bracket space equals space 1 half left square bracket 8 minus 3 right square bracket space equals space 2.5