Final answer:
In 6-ethyl-2-octyne, there are a total of 10 carbon atoms in the molecule.
Step-by-step explanation:
The name given, 6-ethyl-2-octyne, provides information about the structure of the compound. From the name, we can determine that there are a total of 10 carbon atoms in the molecule. The prefix 'oct' indicates that there are 8 carbon atoms in the chain, and the '2' before 'octyne' indicates the position of the triple bond. Additionally, the 'ethyl' group indicates the presence of an ethyl (C2H5) group attached to one of the carbon atoms in the chain.