Draw the three constitutional isomers having molecular...

Draw the three constitutional isomers having molecular formula C$_7$H$_{14}$ that contain a five-membered ring and two methyl groups as substituents. For each constitutional isomer that can have cis and trans isomers, draw the two stereoisomers.

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Key Concepts

Cis-Trans Isomerism

Cis-trans isomerism is a type of stereoisomerism where two substituents attached to a ring or double bond can be oriented on the same side (cis) or opposite sides (trans) of the structure. This property is particularly relevant in cyclic systems where the ring restricts rotation, allowing for distinct geometric configurations.

Constitutional Isomerism

This concept deals with compounds that share the same molecular formula but differ in how their atoms are connected. In the context of the problem, different positioning of the two methyl groups on the five-membered ring creates multiple structurally distinct isomers.

Stereoisomerism

Stereoisomers have the same connectivity but differ in the spatial arrangement of their atoms. In cyclic compounds like the one given, variations in the orientation of substituents relative to the ring plane can lead to different stereoisomers even though the connectivity of atoms remains unchanged.

Substituted Cycloalkanes

Substituted cycloalkanes refer to cyclic molecules that have one or more hydrogen atoms replaced by alkyl or other substituents. In this problem, the five-membered cycloalkane, with two methyl substituents, serves as a base for explaining both constitutional and stereochemical differences achieved by varying the placement and orientation of the methyl groups.

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