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To draw the skeleton diagram for 3-ethyl-3,4-dimethylhexane, we need to determine the arrangement of carbon atoms and their connections. Let's break down the name and analyze the structure step by step:

  1. Hexane: Hexane is a hydrocarbon with six carbon atoms in a straight chain. The skeletal structure of hexane looks like this:

    H H H H H H | | | | | | H-C-C-C-C-C-C-H | | | | | | H H H H H H

  2. Dimethylhexane: "Dimethyl" indicates that two methyl (-CH3) groups are attached to the hexane chain. We can add them to carbon atoms at positions 3 and 4:

    H H H H H H | | | | | | H-C-C-C-C-C-C-H | | | | | H H H H H | CH3

  3. 3-ethyl-3,4-dimethylhexane: "3-ethyl" means there is an ethyl (-CH2CH3) group attached to carbon atom 3. Let's add it to the structure:

    H H H H H H | | | | | | H-C-C-C-C-C-C-H | | | | | H H H H H |
    CH3 | CH2CH3

Combining all the substitutions, the skeletal structure of 3-ethyl-3,4-dimethylhexane looks like this:

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