The final product obtained in the oxidation of t-butyl benzene with `Na_(2)Cr_(2)O_(7)+H_(2)SO_(4)` is:

Options

A. a.Benzene acid
B. b.`PhCH_(2)COOH`
C. c.
D. d.`CH_(3)COOH`

Explanation

To determine the final product obtained from the oxidation of t-butyl benzene with Na2Cr2O7 and H2SO4, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Structure of t-Butyl Benzene**:
- The structure of t-butyl benzene consists of a benzene ring with a tertiary butyl group (C(CH3)3) attached to it. The molecular formula can be represented as C10H14.

2. **Understand the Oxidation Conditions**:
- The oxidizing agent used here is Na2Cr2O7 (sodium dichromate) in the presence of H2SO4 (sulfuric acid). This combination is a strong oxidizing environment.

3. **Analyze the Oxidation Process**:
- In the presence of strong oxidizing agents, tertiary alkyl groups can undergo oxidation. The tertiary butyl group can be oxidized to form acetic acid (CH3COOH) and carbon dioxide (CO2).
- The reaction involves the cleavage of the C-C bond between the tertiary butyl group and the benzene ring.

4. **Formation of Products**:
- The oxidation of the t-butyl group results in the formation of acetic acid (CH3COOH) and carbon dioxide (CO2). The benzene ring remains intact as it does not undergo oxidation due to the stabilizing effect of the attached alkyl groups.

5. **Final Product**:
- Therefore, the final product obtained from the oxidation of t-butyl benzene with Na2Cr2O7 and H2SO4 is acetic acid (CH3COOH).

### Conclusion:
The correct answer is **CH3COOH**.

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