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  4. Find the number of stereoisomers of 1,2-dihydroxy cyclopentane.

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Q. Find the number of stereoisomers of 1,2-dihydroxy cyclopentane.

AIIMSAIIMS 2011Organic Chemistry – Some Basic Principles and Techniques

Solution:

Symmetrical molecule

image

Number of chiral carbon atoms = 2 (even)

Number of stereoisomers = $2^{n-1}+2^{\frac{n}{2}-1}$

$=2^{2-1}+2^{\frac{2}{2}-1}=2^{1}+2^{0}=2+1=3$