Question

check the box under each molecule in the table below that is an isomer of this molecule:

ho

oh

if there are no isomers, check the none of the above box under the table.

ho

oh

ho

ho

none of the above

Explanation:

To determine isomers, we first find the molecular formula of the given molecule. The given molecule has a double bond, two -OH groups, and a carbon chain. Let's analyze each candidate:

Step 1: Analyze the first candidate (top - left)

The first molecule (top - left) has the same functional groups (two -OH, a double bond) and the same number of carbon, hydrogen, and oxygen atoms as the given molecule. It is a geometric isomer (cis - trans isomer) of the given molecule since the double bond's configuration might be different, but the molecular formula is the same.

Step 2: Analyze the second candidate (top - right)

The top - right molecule has a carboxylic acid group (-COOH) instead of a double bond and an -OH. The molecular formula will be different (it has a carbonyl group (C = O) and a single -OH, while the original has two -OH and a double bond). So, it's not an isomer.

Step 3: Analyze the third candidate (bottom - left)

The bottom - left molecule has a ketone group (C = O) and a single -OH. The molecular formula will be different from the original (original has two -OH and a double bond). So, it's not an isomer.

Step 4: Analyze the fourth candidate (bottom - right)

The bottom - right molecule is a cyclic ether. The number of carbon, hydrogen, and oxygen atoms is different from the original (original has an acyclic structure with a double bond and two -OH). So, it's not an isomer.

Answer:

The box under the top - left molecule (the one with two -OH groups and a double bond, \(\ce{HO - CH2 - CH2 - CH=CH - OH}\) - like structure) should be checked. Also, if we consider the "none of the above" is not correct here as we have an isomer in the top - left.