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Question: number of stereoisomers of n hexane where 2 and 4 position is substituted by D...

number of stereoisomers of n hexane where 2 and 4 position is substituted by D

Answer

4 stereoisomers

Explanation

Solution

Solution:

We start with the structure of n‑hexane substituted by deuterium (D) at the 2‑ and 4‑positions:

CH3CH(D)CH2CH(D)CH2CH3.\text{CH}_3-\text{CH(D)}-\text{CH}_2-\text{CH(D)}-\text{CH}_2-\text{CH}_3.

Step 1:

At carbon 2, the four substituents are:

  • a methyl group (CH3\text{CH}_3) from C1,
  • a hydrogen (H),
  • a deuterium (D), and
  • the chain CH2CH(D)CH2CH3\text{CH}_2-\text{CH(D)}-\text{CH}_2-\text{CH}_3 from C3 to C6.

Since all four groups are different, C2 is a stereocenter.

Step 2:

At carbon 4, the substituents are:

  • an ethyl group (from C5–C6: CH2CH3\text{CH}_2-\text{CH}_3),
  • a propyl group (from C3–C1: CH2CH(D)CH3\text{CH}_2-\text{CH(D)}-\text{CH}_3),
  • a hydrogen (H), and
  • a deuterium (D).

Thus, C4 is also a stereocenter.

Step 3:

Since there are two chiral centers, the maximum number of stereoisomers is:

22=4.2^2 = 4.

Inspection of the molecule shows that the two centers are in different environments (one has a methyl versus butyl group, while the other has an ethyl versus propyl group) so no meso (achiral) form exists.

Final Answer:

There are 4 stereoisomers.


Explanation (minimal):

Two chiral centers (at C2 and C4) give a maximum of 22=42^2=4 stereoisomers. No meso form is possible as the substituents around the chiral centers are different.