Final answer:
Hex-2-yne would give more than one product when treated with excess HCl because the triple bond in the middle of the chain allows two potential sites for the addition of HCl, leading to multiple products.
Step-by-step explanation:
The compound that would give more than one product when treated with excess HCl (hydrochloric acid) is hex-2-yne. In this compound, the triple bond is in the middle of the chain, allowing two possible sites for the addition of HCl. A triple bond has two pi bonds that can be broken in successive reactions with HCl, leading to the formation of a vicinal dihalide. If we consider other options: hex-1-ene would only lead to a single product as the double bond is at the end of the chain; hex-1-yne and hex-3-yne should also give a single product because both have triple bonds at positions where there is no option for varied addition of HCl.
Examining some other compounds in reference to the concept of multiple products:
3,4-dimethyl-1-pentyne is similar to hex-2-yne because it also has a triple bond not located at the terminal end of the carbon chain, allowing for two different products upon successive addition reactions of HCl.