How many total representations of lactic acid | vedclass

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(C) For a molecule with one chiral center,there are $4! = 24$ possible permutations of the four groups attached to the chiral carbon in a Fischer proj

Vedclass · Accepted Answer

$24$

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(C) For a molecule with one chiral center,there are $4! = 24$ possible permutations of the four groups attached to the chiral carbon in a Fischer projection.These $24$ arrangements are divided equally between the two enantiomers.Specifically,$12$ arrangements correspond to the $(d)$ or $(+)$ isomer,and $12$ arrangements correspond to the $(l)$ or $(-)$ isomer.Therefore,the total number of representations for both isomers is $24$.

$A$. Acetaldehyde,vinyl alcohol	$1$. Enantiomers
$B$. Eclipsed and staggered ethane	$2$. Tautomers
$C$. $(+)2$-butanol,$(-)2$-butanol	$3$. Chain isomers
$D$. Methyl-$n$-propylamine and diethylamine	$4$. Conformational isomers
	$5$. Metamers

How many total representations of lactic acid are possible in Fischer projection for both $(d)$ and $(l)$ isomers?

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$A$. Acetaldehyde,vinyl alcohol $1$. Enantiomers
$B$. Eclipsed and staggered ethane $2$. Tautomers
$C$. $(+)2$-butanol,$(-)2$-butanol $3$. Chain isomers
$D$. Methyl-$n$-propylamine and diethylamine $4$. Conformational isomers
$5$. Metamers

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