Respuesta :

Answer:

Only A., the stick structure with no branches and five vertices between the two endpoints.

Explanation:

An alkane is a saturated hydrocarbon compound with no branches- just a series of carbon atoms connected with [tex]{\rm C}-{\rm C}[/tex] single bonds. Heptane is the name for an alkane with [tex]7[/tex] carbon atoms (the prefix "[tex]\verb!hept-![/tex]" means "seven".)

Notice that there are only [tex]6[/tex] carbon atoms in the alkane with the condensed structure formula [tex]{\rm CH_{3}}({\rm CH_{2})_{4}{\rm CH_{3}}[/tex]. The name for that structure would be hexane, not heptane.

In general, the condensed structure formula of an alkane with [tex]n[/tex] carbon atoms ([tex]n > 2[/tex]) is [tex]{\rm CH_{3}}({\rm CH_{2}})_{n-2} {\rm CH_{3}}[/tex]. The correct condensed structure formula for heptane ([tex]n = 7[/tex]) would be [tex]{\rm CH_{3}}({\rm CH_{2}})_{5} {\rm CH_{3}}[/tex].

The structure in choice A is represented as a line-angle formula. As long as no letter is present in the formula, each vertex in the line-angle formula (including the endpoints) represents a carbon atom. Hence, the line-angle formula in choice A would represent a hydrocarbon with [tex]7[/tex] carbon atoms.

A single line denotes a single bond between atoms. All [tex]7[/tex] carbon atoms in this structure are thus joined in a line with [tex]{\rm C}-{\rm C}[/tex] single bonds. Hence, this structure denotes an alkane with [tex]7[/tex] carbon atoms- heptane.

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