Identify the two alkyl groups attached to the oxygen atom in the ether structure. One side is a pentyl group (a straight chain of five carbons), and the other side is a butyl group with a branching pattern.
Determine the type of butyl group attached. Check the carbon connected to the oxygen: if it is connected to one other carbon, it is a primary (n-) butyl; if connected to two carbons, it is a secondary (sec-) butyl; if connected to three carbons, it is a tertiary (tert-) butyl.
In the given structure, the oxygen is attached to a carbon that is connected to two other carbons, indicating a secondary (sec-) butyl group rather than a tertiary (tert-) butyl group.
Name the ether by listing the two alkyl groups attached to oxygen in alphabetical order followed by the word 'ether'. Since 'pentyl' comes before 'sec-butyl' alphabetically, the correct name is 'pentyl sec-butyl ether'.
Alternatively, the name can be written as 'sec-butyl pentyl ether' since both are acceptable, but the key is to correctly identify the butyl group as secondary, not tertiary.