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What are the resonance structures of benzoate anions?

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Hint: Benzoate anion is the anionic form of benzoic acid where benzoic acid is represented by the chemical formula${{C}_{6}}{{H}_{5}}COOH$where anion is the ion which contains negative charge on it and produces by losing an electron and benzoate anion is represented as $\pi $.

Complete answer:
Resonance structures are sets of Lewis structures which describe the delocalization of electrons in polyatomic ions or molecules. In many cases a single Lewis structure fails to explain the bonding in a molecule due to presence of partial charge and fractional bonds in it. In these cases resonance structure helps to describe the chemical bonding in that molecule.
In this case the formate ion i.e. $HCO{{O}^{-}}$ is composed of one atom of hydrogen and carbon and two atoms of oxygen in which the ion contains a charge of -1. It can be able to form resonance structures by considering delocalisation of electron from $\pi $ bond which shows conjugation in the benzene ring with the carbonyl group of carboxylate ion and produce 4 resonating structures which can be shown as follows:
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Hence in this way four resonating structures of the benzoate anion where the transference of charge is taking place with the conjugation of benzene ring.

Note:
Resonance describes the bonding in particular molecules or ions by merging a number of contributory structures or forms which are jointly known as canonical structures or resonance structures within the theory of valence bonding into a hybrid resonance also known as hybrid structure.