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Multiple Choice
How many D-stereoisomers are possible for a D-ketopentose?
A
4
B
8
C
24
D
2
E
16
Verified step by step guidance
1
Understand that a D-ketopentose is a five-carbon sugar with a ketone group. The 'D' designation refers to the configuration of the chiral center farthest from the carbonyl group, which is similar to D-glyceraldehyde.
Identify the number of chiral centers in a ketopentose. A ketopentose has three chiral centers because the ketone group is typically at the second carbon, leaving three other carbons that can be chiral.
Use the formula for calculating the number of stereoisomers: \(2^n\), where \(n\) is the number of chiral centers. For a ketopentose, \(n = 3\).
Calculate \(2^3\) to determine the total number of stereoisomers possible for a ketopentose.
Since the problem specifies D-stereoisomers, consider only those configurations that are D, which is half of the total stereoisomers. Therefore, divide the total number of stereoisomers by 2 to find the number of D-stereoisomers.