To determine the number of different isomers of alkenes (including stereoisomers) that upon catalytic hydrogenation yield the same 2,2,3,5-tetramethylhexane,
Follow these steps:
1. Identify the Structure of the Product: The product, 2,2,3,5-tetramethylhexane, has a hexane backbone with methyl groups attached at the 2nd, 2nd, 3rd, and 5th carbon atoms.
2. Determine Possible Positions for the Double Bond: The double bond in the precursor alkene can be located between different pairs of carbon atoms in the hexane chain. Possible positions are: - Between C1-C2 - Between C2-C3 - Between C3-C4 - Between C4-C5
3. Consider Stereoisomers: For each position where the double bond is placed, determine if cis/trans (geometric) isomers are possible: - Between C1-C2: Only one structural isomer is possible since substituents do not allow for different geometrical arrangements. - Between C2-C3: Two stereoisomers are possible (cis and trans) due to the presence of different substituents on the double-bonded carbons. - Between C3-C4: Two stereoisomers are possible (cis and trans) for the same reason as above. - Between C4-C5: Only one structural isomer is possible.
4. Calculate the Total Number of Isomers: - C1-C2: 1 isomer - C2-C3: 2 isomers (cis and trans) - C3-C4: 2 isomers (cis and trans) - C4-C5: 1 isomer Adding these up: 1 + 2 + 2 + 1 = 6 isomers.
5. Consider Additional Structural Isomers: There is an additional structural isomer due to the possibility of a different branching pattern that still leads to the same saturated product upon hydrogenation. This increases the total count to 7 isomers. Therefore, there are 7 different isomers of alkenes that satisfy the given condition.