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Chloramphenicol is an antibiotic whose IUPAC name is 2,2-dichloro-$$N$$-[(1$$R$$,2$$R$$)-2-hydroxy-1-(hydroxymethyl)-2-(4-nitrophenyl)ethyl]acetamide.
Its structural formula is:
$$O_2N - C_6H_4 - CH(OH) - CH(NH - CO - CHCl_2) - CH_2OH$$
To find chiral carbons, we look for $$sp^3$$ hybridised carbon atoms bonded to four different groups.
Carbon 1: The carbon bearing the $$-OH$$ group, i.e. $$-CH(OH)-$$. Its four substituents are: (i) $$-C_6H_4(NO_2)$$ (the para-nitrophenyl ring), (ii) $$-OH$$, (iii) $$-H$$, (iv) the adjacent carbon bearing the amide group. All four groups are different, so this carbon is chiral.
Carbon 2: The carbon bearing the amide group, i.e. $$-CH(NHCO-CHCl_2)-$$. Its four substituents are: (i) $$-NHCO-CHCl_2$$, (ii) $$-CH_2OH$$, (iii) $$-H$$, (iv) the adjacent carbon bearing $$-OH$$. All four groups are different, so this carbon is also chiral.
Other carbons in the molecule are either part of the aromatic ring ($$sp^2$$), the carbonyl carbon ($$sp^2$$), the $$-CHCl_2$$ carbon (two identical Cl substituents, so not chiral), or the $$-CH_2OH$$ carbon (two identical H atoms, so not chiral).
Therefore, the number of chiral carbons in chloramphenicol is $$2$$.
The correct answer is $$2$$.
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