(C) Step $1$: The chemical structure of glycerol is $CH_2(OH)-CH(OH)-CH_2(OH)$.Step $2$: It is a three-carbon chain $(Propane)$ with hydroxyl groups $

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(C) Step $1$: The chemical structure of glycerol is $CH_2(OH)-CH(OH)-CH_2(OH)$.Step $2$: It is a three-carbon chain $(Propane)$ with hydroxyl groups $(-OH)$ attached to each carbon atom.Step $3$: Since there are three $-OH$ groups, the suffix is $-triol$ and the positions are $1, 2, 3$.Step $4$: Therefore, the $IUPAC$ name is $Propane-1,2,3-triol$.