Answer :
Let's complete the table of physical structures of the main functional groups. We have the structures for Alcohol, Aldehyde, Carboxylic acid, and Ester. We need to fill in the remaining structures for Ether and Ketone.
Here is the completed table:
[tex]\[ \begin{array}{|c|c|c|c|c|c|} \hline \text{Alcohol} & \text{Ether} & \text{Ketone} & \text{Aldehyde} & \begin{array}{l} \text{Carboxylic} \\ \text{acid} \end{array} & \text{Ester} \\ \hline \text{\begin{tabular}{l} [R]O \end{tabular}} & \text{\begin{tabular}{l} [R]O[R] \end{tabular}} & \text{\begin{tabular}{l} [R]C(=O)[R] \end{tabular}} & \text{\begin{tabular}{l} [R]C=O \end{tabular}} & \text{\begin{tabular}{l} [R]C(=O)O[R] \end{tabular}} & \text{\begin{tabular}{l} [R]OC([R])=O \end{tabular}} \\ \hline \end{array} \][/tex]
Here, [tex]\( R \)[/tex] represents a variable group, typically an alkyl or aryl group.
- Alcohol: [tex]\(\text{}[R]O\)[/tex]
- Ether: [tex]\(\text{}[R]O[R]\)[/tex]
- Ketone: [tex]\(\text{}[R]C(=O)[R]\)[/tex]
- Aldehyde: [tex]\(\text{}[R]C=O\)[/tex]
- Carboxylic acid: [tex]\(\text{}[R]C(=O)O[R]\)[/tex]
- Ester: [tex]\(\text{}[R]OC([R])=O\)[/tex]
Now the table is complete with the respective structural representations of each functional group.
Here is the completed table:
[tex]\[ \begin{array}{|c|c|c|c|c|c|} \hline \text{Alcohol} & \text{Ether} & \text{Ketone} & \text{Aldehyde} & \begin{array}{l} \text{Carboxylic} \\ \text{acid} \end{array} & \text{Ester} \\ \hline \text{\begin{tabular}{l} [R]O \end{tabular}} & \text{\begin{tabular}{l} [R]O[R] \end{tabular}} & \text{\begin{tabular}{l} [R]C(=O)[R] \end{tabular}} & \text{\begin{tabular}{l} [R]C=O \end{tabular}} & \text{\begin{tabular}{l} [R]C(=O)O[R] \end{tabular}} & \text{\begin{tabular}{l} [R]OC([R])=O \end{tabular}} \\ \hline \end{array} \][/tex]
Here, [tex]\( R \)[/tex] represents a variable group, typically an alkyl or aryl group.
- Alcohol: [tex]\(\text{}[R]O\)[/tex]
- Ether: [tex]\(\text{}[R]O[R]\)[/tex]
- Ketone: [tex]\(\text{}[R]C(=O)[R]\)[/tex]
- Aldehyde: [tex]\(\text{}[R]C=O\)[/tex]
- Carboxylic acid: [tex]\(\text{}[R]C(=O)O[R]\)[/tex]
- Ester: [tex]\(\text{}[R]OC([R])=O\)[/tex]
Now the table is complete with the respective structural representations of each functional group.