Step 1: Identify the Requirement:
Formula: \( \text{C}_6\text{H}_{10} \) (Degree of unsaturation = 2, consistent with 1 triple bond).
Requirement: "1-alkyne". This means the triple bond must be at the terminal position (\( -\text{C}\equiv\text{CH} \)).
Step 2: Determine Structure Framework:
The structure must be \( \text{R}-\text{C}\equiv\text{CH} \).
Total carbons = 6. Triple bond carbons = 2.
So, the alkyl group \( \text{R} \) must have \( 6-2=4 \) carbon atoms (\( \text{C}_4\text{H}_9 \), Butyl group).
Step 3: Count Isomers of Butyl Group (-R):
We need to find how many structural isomers exist for the butyl group attached to the alkyne unit.
The butyl group (\( \text{C}_4\text{H}_9- \)) has 4 isomers:
1. n-Butyl: \( \text{CH}_3-\text{CH}_2-\text{CH}_2-\text{CH}_2- \)
Compound: 1-Hexyne.
2. Isobutyl: \( (\text{CH}_3)_2\text{CH}-\text{CH}_2- \)
Compound: 4-Methyl-1-pentyne.
3. sec-Butyl: \( \text{CH}_3-\text{CH}_2-\text{CH}(\text{CH}_3)- \)
Compound: 3-Methyl-1-pentyne.
4. tert-Butyl: \( (\text{CH}_3)_3\text{C}- \)
Compound: 3,3-Dimethyl-1-butyne.
Step 4: Total Count:
There are 4 distinct structural isomers.