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An Optically Active Hexose,A,C6H12O6,was Degraded to an Optically Active Pentose

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An optically active hexose,A,C6H12O6,was degraded to an optically active pentose (B),C5H10O5,by the following series of reactions: An optically active hexose,A,C<sub>6</sub>H<sub>12</sub>O<sub>6</sub>,was degraded to an optically active pentose (B),C<sub>5</sub>H<sub>10</sub>O<sub>5</sub>,by the following series of reactions:   Compound (B)was degraded to an optically active tetrose (C)C<sub>4</sub>H<sub>8</sub>O<sub>4</sub>,through the same series of reactions as shown above,then (B)and (C)oxidized with HNO<sub>3</sub> to yield the optically active tartaric acid. Give possible structure for (A)and (B). Compound (B)was degraded to an optically active tetrose (C)C4H8O4,through the same series of reactions as shown above,then (B)and (C)oxidized with HNO3 to yield the optically active tartaric acid.
Give possible structure for (A)and (B).

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