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Q9.21:
Write structures of all the alkenes which on hydrogenation give 2-methylbutane.

Solution :

Given Variables & Initial Setup

To determine the alkenes that yield $2\text{-methylbutane}$ upon catalytic hydrogenation, we must understand the chemical process: $C_nH_{2n} + H_2 \xrightarrow{Ni/Pt/Pd} C_nH_{2n+2}$ The target alkane is $2\text{-methylbutane}$, which has the skeletal structure: $CH_3-CH(CH_3)-CH_2-CH_3$. Hydrogenation involves the addition of $H_2$ across a double bond ($C=C$). To find the precursor alkenes, we must introduce a double bond between any two adjacent carbon atoms of the $2\text{-methylbutane}$ skeleton, ensuring the carbon valency remains four.

Step 1: Analyzing Carbon Positions

The structure of $2\text{-methylbutane}$ can be mapped as follows:

C1 C2 C3 C4 CH3

Step 2: Identifying Potential Double Bond Sites

To arrive at $2\text{-methylbutane$ upon hydrogenation, we must place a double bond between carbon atoms such that the addition of hydrogen results in the saturation of the chain. Based on the connectivity, the following alkenes are generated:

Alkene Structure IUPAC Name
$CH_2=C(CH_3)CH_2CH_3$ $2\text{-methylbut-1-ene}$
$CH_3-C(CH_3)=CHCH_3$ $2\text{-methylbut-2-ene}$
$CH_3-CH(CH_3)CH=CH_2$ $3\text{-methylbut-1-ene}$

Step 3: Verification of Hydrogenation

  • $2\text{-methylbut-1-ene}$ ($CH_2=C(CH_3)CH_2CH_3$): Hydrogenation adds $H$ to $C1$ and $C2$, yielding $CH_3-CH(CH_3)CH_2CH_3$. [Valid]
  • $2\text{-methylbut-2-ene}$ ($CH_3-C(CH_3)=CHCH_3$): Hydrogenation adds $H$ to $C2$ and $C3$, yielding $CH_3-CH(CH_3)CH_2CH_3$. [Valid]
  • $3\text{-methylbut-1-ene}$ ($CH_3-CH(CH_3)CH=CH_2$): Hydrogenation adds $H$ to $C1$ and $C2$, yielding $CH_3-CH(CH_3)CH_2CH_3$. [Valid]

Note: $1\text{-methylbut-1-ene}$ is not a unique entity; it is structurally identical to $2\text{-pentene}$ if the numbering is adjusted, which would not yield $2\text{-methylbutane$. Therefore, the identified structures are the only isomers that satisfy the structural requirements.

Final Solution: The alkenes are: 1) 2-methylbut-1-ene, 2) 2-methylbut-2-ene, and 3) 3-methylbut-1-ene.


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