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Question: Calculate the total number of open chain isomeric carbonyl compounds of molecular formula \[{C_5}{H_...

Calculate the total number of open chain isomeric carbonyl compounds of molecular formula C5H8O{C_5}{H_8}O which can’t show geometric isomerism.

Explanation

Solution

The open-chain compounds are the acyclic compounds that have a linear structure, rather than a cyclic one. Geometric isomerism is a type of isomerism also known as ‘cis-trans’ isomerism. For the molecule, C5H8O{C_5}{H_8}O we will not count this isomer.

Complete step by step answer:
First, we will understand the isomers. Isomers are the molecules of the compounds which possess a similar molecular formula which means that the number of individual atoms present in the parent compound or molecule is the same as the isomer formed. Isomer possesses a different chemical structure. Now we will discuss one of the types of isomerism is geometrical isomerism. So, geometrical isomerism is the in which directional arrangement is considered. In geometrical isomerism, the rotation of the attached atoms or groups of atoms around the double-bonded atoms helps to produce a new compound that possesses similar molecular formula but a different chemical structure. Now we will consider the compound given to us which is C5H8O{C_5}{H_8}O. We will try to frame only pen chain isomeric carbonyl compounds. So the possible isomers for C5H8O{C_5}{H_8}O as follows.

From the above isomers, we can observe that all the possible isomers possess a similar molecular formula which is C5H8O{C_5}{H_8}O but the chemical structure is different. The position of the carbonyl group and the double bond is changed to form an isomer of a similar molecular formula.
Therefore, the total number of open chain isomeric carbonyl compounds of molecular formula C5H8O{C_5}{H_8}O which can’t show geometric isomerism are 88.

Note:
The total number of possible open-chain isomers of the compound C5H8O{C_5}{H_8}O are 4343. The isomers contain 1515 alcohols, 1616 ether, 88 aldehydes, and 44 ketones. This optical isomerism and the geometrical isomerism are also included.