(a) Reaction of D-glucose with HCN:
When D-glucose is treated with hydrogen cyanide (HCN), it undergoes cyanohydration to form a cyanohydrin, specifically D-glucose cyanohydrin.
\[
\text{D-glucose} + HCN \rightarrow \text{D-glucose cyanohydrin}
\]
(b) Reaction of D-glucose with Br\(_2\) water:
When D-glucose is treated with bromine water, it undergoes oxidation at the aldehyde group. This converts the aldehyde group to a carboxylic acid group, and the product is gluconic acid.
\[
\text{D-glucose} + Br_2 \text{(water)} \rightarrow \text{Gluconic acid}
\]