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Question
Explain optical activity of 2-chlorobutane.
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Solution 1
- The property of a substance by which it rotates the plane of polarization of incident plane-polarized light is known as optical activity.
- 2-Chlorobutane has one chiral carbon atom and thus exists as a pair of enantiomers, which are non-superimposable mirror images of each other.
- These mirror images are referred to as optical isomers, which differ from each other in terms of a measurable property called optical activity. The structure of 2-chlorobutane and its mirror image can be represented as,

- Thus, 2-chlorobutane will show optical activity, and in accordance with the direction of optical rotation, one isomer will be dextrorotatory, and the other will be laevorotatory.
Solution 2

Enantiomers of 2-Chlorobutane
(with structural and Fischer’s projection formula)
- 2-Chlorobutane contains an asymmetric \[\begin{array}{cc}\ce{Cl}\phantom{.......}\\|\phantom{........}\\\ce{CH3 - \underset{∗}{C}H - CH2 - CH3}\end{array}\] carbon atom (the starred carbon atom) which is attached to four different groups, i.e. ethyl (– CH2 – CH3), methyl (CH3), chloro (Cl) and hydrogen (H) groups.
- As seen in the image, these groups can be arranged around the carbon atom in two different ways. It therefore exists in two enantiomers. The two enantiomers cannot be superimposed; they are mirror images of one another.
- The laevorotatory isomer (l-isomer) is one of the enantiomers that will rotate the plane of plane-polarized light to the left. The second enantiomer, known as the dextrorotatory isomer (d-isomer), will rotate the plane of plane-polarized light to the right.
- The racemic mixture, also known as the racemate (dl-mixture), is an equimolar mixture of the d- and l-isomers that is optically inactive. External compensation is the cause of the racemic mixture's optical inactivity.
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a.
\[\begin{array}{cc}
\ce{CH3 - CH - CH2 - CH3}\\
|\phantom{.........}\\
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\end{array}\]
b.
\[\begin{array}{cc}
\ce{CH3 - CH2 - CH - CH2 - CH3}\\
|\phantom{.}\\
\ce{Br}\phantom{.}
\end{array}\]
c.
\[\ce{CH3 - CH - CH2 - CH2Br}\]
d.
\[\begin{array}{cc}
\ce{CH3 - CH - CH2 - CH3}\\
|\phantom{.........}\\
\ce{CH3}\phantom{......}
\end{array}\]
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