Question 18.3: Determining Chirality Lactic acid can be isolated from sour ......

Determining Chirality
Lactic acid can be isolated from sour milk. Is lactic acid chiral?

\begin{matrix}   \underset{\mid}{O}H            \underset{\mid\mid}{O}\\ \underset{3}{C}H_3—\underset{2}{C}H—\underset{1}{C}—OH\\ Lactic  acid\end{matrix}

ANALYSIS A molecule is chiral if it contains one C atom bonded to four different groups. Identify any C atoms that meet this condition.

Step-by-Step
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To find out if lactic acid is chiral, list the groups attached to each carbon atom:

\begin{matrix}   \underset{\mid}{O}H            \underset{\mid\mid}{O}\\ \underset{3}{C}H_3—\underset{2}{C}H—\underset{1}{C}—OH\\ Lactic  acid\end{matrix}

\begin{array}{l l l} \text{Groups on carbon 1} & \text{Groups on carbon 2} &\text{Groups on carbon 3} \\ 1. —OH & 1. —COOH    & 1. —CH(OH)COOH \\ 2. \xlongequal[]{}O & 2. —OH & 2. —H \\ 3. —CH(OH)CH_3 & 3. —H & 3. —H \\ & 4. —CH_3 & 4. —H \end{array}

Next, look at the lists to see if any carbon atom is attached to four different groups. Of the three carbons, carbon 2 has four different groups, and lactic acid is therefore chiral.

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