How many constitutional isomers are possible for a triglyceride containing one molecule each of palmitic acid, oleic acid, and stearic acid?

Short Answer

Expert verified
Answer: There are 6 possible constitutional isomers for such a triglyceride.

Step by step solution

01

Understand the molecular structure of glycerol and fatty acids

Glycerol has three hydroxyl groups (-OH) that can form ester bonds with the three fatty acids. Palmitic, oleic, and stearic acids are fatty acids with the following number of carbon atoms: palmitic acid (16 carbons), oleic acid (18 carbons), and stearic acid (18 carbons). Note that oleic acid has one double bond and stearic acid has no double bonds, making them different fatty acids despite having the same number of carbons.
02

Calculate the number of ways to attach the fatty acids to glycerol

There are three positions on the glycerol molecule where the fatty acids can be attached. We can consider the fatty acids as distinct entities and calculate the number of unique arrangements possible. There are 3! (3 factorial) ways to arrange these fatty acids around the glycerol molecule, which is equal to 3 × 2 × 1 = 6.
03

Determine if any of these arrangements are identical

Since the glycerol molecule has identical hydroxyl groups, the arrangement of fatty acids does not matter when they are connected to different positions on the glycerol molecule. Therefore, the number of constitutional isomers remains 6.
04

Report the number of constitutional isomers

There are 6 possible constitutional isomers for a triglyceride containing one molecule each of palmitic acid, oleic acid, and stearic acid.

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