Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A saturated open-chain amine has the formula . Count its structural isomers class by class. A primary amine is one pentyl group on the nitrogen. A secondary amine is two alkyl groups with five carbon atoms between them. A tertiary amine is three alkyl groups with five carbon atoms among them. Use the numbers of alkyl groups: 1, 1, 2, 4 and 8 for one to five carbon atoms. Give the number of primary, secondary and tertiary amines, and the total.
The class of an amine is the number of carbon groups on the nitrogen atom: one, two or three. An aromatic amine has the nitrogen joined straight to a benzene ring. A saturated amine with carbon atoms is . Count isomers by choosing alkyl groups: there are 1, 1, 2, 4, 8 and 17 different alkyl groups with 1 to 6 carbon atoms.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Primary. There are 8 pentyl groups, so 8 primary amines.
Step 2. Secondary. The split 1 + 4: one methyl group and any of 4 butyl groups, . The split 2 + 3: one ethyl group and any of 2 propyl groups, . The total is .
Step 3. Tertiary. The split 1 + 1 + 3: two methyl groups and one of 2 propyl groups, . The split 1 + 2 + 2: one methyl and two ethyl groups, . The total is .
Step 4. All. .
Answer: 8, 6, 3 and 17 in all.
Check. The lesson gave 8 for . One more carbon roughly doubles the count, and 17 fits.
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