Question: Use the observed bond lengths to answer each question. (a) Why is bond [1] longer than bond [2] (143 pm versus 136 pm)? (b) Why are bonds [3] and [4] equal in length (127 pm) and shorter than bond [2]?

Short Answer

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Answer

Bond [1] is longer than bond [2] as bond [2] attains a partial double bond character due to resonance.

Bonds [3] and [4] are equal in length as both have double bond characteristics as a result of resonance.

The electron density on bonds [3] and [4] is higher than that on bond [2], and hence, they are shorter than bond [2].

Step by step solution

01

Step-by-Step Solution Step 1: Bond length

Bond length is the measurement of the distance between the centers of two chemically bound atoms.

The bond length of an atom depends on the percentage of s character of the atoms. As the s character increases, the bond length decreases.

The order of bond length according to s character is as follows:

singlebond>doublebond>tripplebond

02

Difference in the bond length of [1] and [2]

The carbon-oxygen bond [1] is longer than the bond [2] because, in the case of molecule b, the oxygen atom takes part in resonance, thereby generating a partial double bond character on the highlighted carbon-oxygen (C-O) bond.

Structures representing the resonance in [2]

03

Comparison of C-O bond length in structures [2] and [3]

Resonance structures [3]

Bonds [3] and [4] both have double bond characteristics as a result of resonance, and hence they have equal bond length.

The bonds [3] and [4] are shorter than bond [2] as the oxygen atom present in structure 3 is electron-dense (indicated by the negative charge), which shifts to carbon-oxygen during resonance.

As the electron density on the bond increases, the bond length decreases.

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