Final answer:
The absolute configuration around the stereo genic center in the acyclic form of D-glucose is D. In the β-D-glucose, the absolute configuration around the new stereo genic center is also D.
Step-by-step explanation:
The absolute configuration around the stereo genic center in the acyclic form of D-glucose is D. The D or L designation refers to the absolute configuration of the bottom-most chiral carbon in the molecule. In the case of D-glucose, the bottom-most chiral carbon is the 5th carbon atom. The D configuration indicates that the -OH group on the right side of the straight chain is present.
In the β-D-glucose, the absolute configuration around the new stereogenic center is also D. The β configuration indicates that the -OH group on the anomeric carbon is pointing upward.