what would the chemical equation look like for each IUPAC name 4-phenyl-2-pentyne b. 2-phenyl-3-pentyne c. 3-phenyl-4-pentyne d. 2-phenyl-4-pentyne

Do you mean structural formula? We can't draw those things on the board. I suggest you go to google.com and type in the compound. With any luck at all you can find a site that has the formula drawn (although I tried the first one and had no luck).

To determine the chemical equation for each of the IUPAC names given, we first need to identify the structure of the compounds. In this case, the IUPAC names indicate that we have different alkynes with a phenyl (C₆H₅) group attached at different positions.

a. 4-phenyl-2-pentyne:
To form the structure for 4-phenyl-2-pentyne, we start with a pentane chain (5 carbon atoms) and attach a phenyl group to the fourth carbon atom. Since the phenyl group is attached to the fourth carbon atom and the alkyne functional group (C≡C) is attached to the second carbon atom, the chemical equation would be as follows:
CH₃CH₂C≡CC₆H₅

b. 2-phenyl-3-pentyne:
For 2-phenyl-3-pentyne, we have a similar structure but with the phenyl group attached to the second carbon atom and the alkyne functional group attached to the third carbon atom. Therefore, the chemical equation would be:
CH₃C≡CCH₂C₆H₅

c. 3-phenyl-4-pentyne:
In 3-phenyl-4-pentyne, the phenyl group is attached to the third carbon atom, and the alkyne functional group is attached to the fourth carbon atom. Thus, the chemical equation would be:
CH₂C≡CCH₂C₆H₅

d. 2-phenyl-4-pentyne:
Finally, for 2-phenyl-4-pentyne, the phenyl group is attached to the second carbon atom, and the alkyne functional group is attached to the fourth carbon atom. The chemical equation would be:
CH₃CH₂C≡CCH₂C₆H₅

Remember, these chemical equations represent the structures of the compounds based on the given IUPAC names.