Compound `A,C_(3)H_(10)O_(5)`,given a tetraacetate with `AC_(2)O` and oxidation of `A` with `Br_2-H_(2)O` gives an acid, `C_(5)H_(10)O_(6).` Reduction of `A` with `HI` gives isopentane.The possible structure of `A` is

Options

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B.
C.
D.

Answer

To solve the problem step by step, we will analyze the information given in the question and derive the possible structure for compound A (C₃H₁₀O₅).

### Step 1: Analyze the Molecular Formula
The molecular formula of compound A is C₃H₁₀O₅. This indicates that it contains 3 carbon atoms, 10 hydrogen atoms, and 5 oxygen atoms.

### Step 2: Identify Functional Groups
The problem states that compound A forms a tetraacetate when reacted with acetic anhydride (Ac₂O). This suggests that compound A has 4 hydroxyl (–OH) groups, as each –OH group can react with acetic anhydride to form an acetate.

### Step 3: Consider the Oxidation Reaction
When compound A is oxidized with Br₂-H₂O, it produces an acid with the formula C₅H₁₀O₆. The increase in carbon atoms from 3 to 5 suggests that the oxidation reaction is likely converting some functional groups into carboxylic acid groups (–COOH).

### Step 4: Analyze the Reduction Reaction
The reduction of compound A with HI yields isopentane. Isopentane has the formula C₅H₁₂, which indicates that the reduction process must involve the conversion of functional groups to hydrocarbons.

### Step 5: Determine the Structure of Compound A
Given that compound A has 4 hydroxyl groups, a total of 3 carbon atoms, and considering the reactions it undergoes, we can deduce that compound A must be a polyol (a compound with multiple hydroxyl groups).

The presence of 4 hydroxyl groups suggests that compound A could be a sugar alcohol or a similar structure. The oxidation to an acid and the reduction to isopentane further suggest that compound A could be a sugar alcohol like D-mannitol or a derivative.

### Step 6: Final Structure Proposal
Based on the analysis, the most likely structure for compound A (C₃H₁₀O₅) is a compound that has 4 hydroxyl groups and can be oxidized to yield a compound with a carboxylic acid group.

The possible structure of A is:
- **A = D-mannitol (C₅H₁₀O₅)**

### Conclusion
The possible structure of compound A is one that can react to form tetraacetate, oxidize to an acid, and reduce to isopentane.

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