Correct ORDER of acidity & dielectric constant is

Options

A. `H_(2)O_(2)gtD_(2)OgtH_(2)O`
B. `D_(2)OgtH_(2)O_(2)gtH_(2)O`
C. `H_(2)O_(2)gtH_(2)OgtD_(2)O`
D. None

Explanation

To determine the correct order of acidity and dielectric constant for the given compounds (H2O2, H2O, and D2O), we will analyze each compound step by step.

### Step 1: Analyze the structure of H2O2 (Hydrogen Peroxide)
- **Structure**: H2O2 has a structure where two oxygen atoms are connected by a single bond, each oxygen is bonded to one hydrogen atom. The molecular structure can be visualized as:
```
H-O-O-H
```
- **Dielectric Constant**: The arrangement of hydrogen atoms in different planes contributes to a higher dipole moment, which results in a higher dielectric constant.

### Step 2: Analyze the structure of H2O (Water)
- **Structure**: Water has a bent shape due to the sp3 hybridization of oxygen, with two hydrogen atoms bonded to oxygen and two lone pairs on the oxygen:
```
H
\
O
/
H
```
- **Dielectric Constant**: The dipole moment is significant, but since the hydrogen atoms are in the same plane, their contributions partially cancel each other out, leading to a lower dielectric constant than H2O2.

### Step 3: Analyze the structure of D2O (Heavy Water)
- **Structure**: D2O is similar to H2O, but the hydrogen atoms are replaced by deuterium (D). The structure is:
```
D
\
O
/
D
```
- **Dielectric Constant**: The O-D bonds are stronger than O-H bonds, leading to a higher bond dissociation energy and shorter bond length. This results in the lowest dielectric constant among the three compounds.

### Step 4: Determine the order of dielectric constants
- Based on the analysis, the order of dielectric constants is:
- H2O2 > H2O > D2O

### Step 5: Analyze the acidity of the compounds
- **Acidity of H2O2**: It has two replaceable H+ ions, making it more acidic.
- **Acidity of H2O**: It has one replaceable H+ ion, making it less acidic than H2O2.
- **Acidity of D2O**: It does not have replaceable H+ ions, making it the least acidic.

### Step 6: Determine the order of acidity
- Based on the analysis, the order of acidity is:
- H2O2 > H2O > D2O

### Final Answer
The correct order of acidity and dielectric constant is:
- **Dielectric Constant**: H2O2 > H2O > D2O
- **Acidity**: H2O2 > H2O > D2O