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IUPAC name of
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a.) 6-oxo-4-formyl cyclohexane carboxylic acid
b.) 4-Formyl-2-oxo cyclohexane carboxylic acid
c.) 4-Formyl-2-oxo cyclohexanoic acid
d.) 1-Carboxy-4-formyl-2-oxo cyclohexane


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Answer
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Hint: Firstly, find the longest chain and then number carbons such that all substituents get the lowest number possible. Further, the C=O group gas prefix oxo and CHO has formyl. The COOH is carboxylic acid and is named as oic acid. The carbon chain has six carbons. So, the word root is hexane.

Complete step by step answer :
The IUPAC stands for International Union of Pure and Applied Chemistry. It has formulated some rules for the systematic nomenclature of organic compounds which are even revised later on for the uniform naming of compounds. The IUPAC has laid down some rules which govern the naming of all the organic compounds. This is necessary so that there is uniform nomenclature to be followed world-wide. The rules to find the IUPAC name of above compound are -
The first thing one should do is to find the longest carbon chain in the molecule.
The longest chain is a cyclohexane ring. The next thing is to find out all the substituents present on the carbon chain. The substituent with higher priority is numbered 1 and then other substituents. The numbering would be as-

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Now, the nomenclature- The C=O group gas prefix oxo and CHO has formyl. The COOH is carboxylic acid and is named as oic acid. The carbon chain has six carbons. So, the word root is hexane. So, the IUPAC name of the compound is - 4-Formyl-2-oxo cyclohexane carboxylic acid

So, the option b.) is the correct option.

Note: It must be noted that the substituent should get the maximum lowest number possible. This is in accordance with the lowest locant rule. Further, the IUPAC nomenclature is needed because earlier every chemist gave its own new name to the molecule it discovered. As a result, one molecule had different names at different places. It was difficult to study them. No one got to know whether the molecule discovered by him/her is the new one or the one that has already been discovered. So, the scientist devised some formulations to uniform the naming of compounds.