Answer
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Hint: Identify the similarities/ differences between configurations for first two carbon atoms for the given hexoses since phenyl hydrazine only affects the configuration of first two carbon atoms.
Complete step by step answer:
Write the structures of given hexoses as follows:
During the formation of osazone, only the first two carbon atoms participate. The remaining four carbon atoms remain as such.
\[D-glucose,\text{ }D-fructose\text{ }and\text{ }D-mannose\] have different configurations only at second carbon atom. For the remaining carbon atoms, they have the same configuration.
In the Fischer projection formula for D-glucose, the hydroxyl group of the second carbon atom is on the right hand side. In the Fischer projection formula for D-mannose, the hydroxyl group of the second carbon atom is on the left hand side. D-fructose has a carbonyl group on the second carbon atom.
\[D-glucose,\text{ }D-fructose\text{ }and\text{ }D-mannose\] form the same osazone when treated with excess phenylhydrazine.
The structures of the osazone from \[D-glucose,\text{ }D-fructose\text{ }and\text{ }D-mannose\]and D-galactose are as shown below:
Hence, the option B) \[D-glucose,\text{ }D-fructose\text{ }and\text{ }D-mannose\] is the correct option.
Note:
When two reactions are added, the values of the enthalpy changes are also added. When two reactions are subtracted, the values of the enthalpy changes are also subtracted. When a reaction is divided with a number, the enthalpy change value is also divided with the same number.
Complete step by step answer:
Write the structures of given hexoses as follows:
During the formation of osazone, only the first two carbon atoms participate. The remaining four carbon atoms remain as such.
\[D-glucose,\text{ }D-fructose\text{ }and\text{ }D-mannose\] have different configurations only at second carbon atom. For the remaining carbon atoms, they have the same configuration.
In the Fischer projection formula for D-glucose, the hydroxyl group of the second carbon atom is on the right hand side. In the Fischer projection formula for D-mannose, the hydroxyl group of the second carbon atom is on the left hand side. D-fructose has a carbonyl group on the second carbon atom.
\[D-glucose,\text{ }D-fructose\text{ }and\text{ }D-mannose\] form the same osazone when treated with excess phenylhydrazine.
The structures of the osazone from \[D-glucose,\text{ }D-fructose\text{ }and\text{ }D-mannose\]and D-galactose are as shown below:
Hence, the option B) \[D-glucose,\text{ }D-fructose\text{ }and\text{ }D-mannose\] is the correct option.
Note:
When two reactions are added, the values of the enthalpy changes are also added. When two reactions are subtracted, the values of the enthalpy changes are also subtracted. When a reaction is divided with a number, the enthalpy change value is also divided with the same number.
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