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How many resonance structures are there for carbon trioxide?

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Answer
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Hint :We must first know the meaning of resonance structures to solve this question. Resonance structures
 are a set of two or more Lewis structures that describes the electronic bonding between a single polyatomic species. Resonance structures help us in understanding the delocalized electrons that cannot be expressed by a single Lewis formula with an integer number of covalent bonds.
Carbon trioxide is an unstable oxide of carbon.

Complete Step By Step Answer:
There are three different isomers for carbon trioxide.
Structure $1$
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This structure has two unpaired electrons and only one resonance contributor.
Structure $2$
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It has two unpaired electrons and three resonance structures.
Structure $3$
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This structure has no unpaired electrons and has one contributor. This isomer is said to be the most stable one out of the three isomers.

Additional Information:
The purpose of resonance is to describe the combination of several contributing structures which is also called resonance structures or canonical structures into a hybrid resonance in valence bond theory. During resonance if the frequency matches the object’s resonant frequency, we will get what is called as resonance. Resonance occurs when the frequency of the oscillations of an object is raised by another object’s corresponding vibrations.

Note :
Some molecules have two or more chemically equivalent Lewis electron structures which are called the resonance structures. Resonance is a method within the valence bond theory of bonding which describes the delocalization of electrons within the molecules. These structures are written with a double-headed arrow between them, which indicates that none of the Lewis structures describes the bonding. The net sum of valid resonance structures is defined as a resonance hybrid, which represents the overall delocalization of electrons within the molecule. A molecule that has several resonance structures is more stable than one with fewer.