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Calculate the d-and i-isomers formed by the following compound and also give the number of meso forms. HOOC-CH(CH_(3))-CHOH-CHBr-CHOH-CH(CH_(3))-COOH

Answer»

Solution :The compound can be divided into two equal halves and it CONSISTS of five asymmetric CARBON ATOMS .i.e., odd NUMBER of asymmetric carbon atoms.
HENCE, the number of d- and l-isomers.
`=2^((n-1))-2^((n-1)//2)`
`=2^((5-1))-2^(((5)/(2)-(1)/(2)))`
`=2^(4)-2^((2.5-0.5))=2^(4)-2^(2)`
`=16-4=12`
Number of meso isomers `=2^((n-1)//2)`
`=2^((2.5-0.5))=2^(2)=4`
So, total number of configurational isomers =12+4=16


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