Correct order of stability of the following resonating structure is
`CH_(2)=underset((a))(CH)-overset(O)overset(||)C-Hharroverset(Theta)(C)H_(2)-underset((b))(CH)=overset(Theta)overset(O)overset(|)(C)-Hharroverset(Theta)overset(* *)(C)H_(2)-underset((c ))(CH)=overset(o+)overset(O)overset(|)(C)-H`

Options

A. `agtbgtc`
B. `agtcgtb`
C. `bgtagtc`
D. `cgtbgta`

Answer

To determine the correct order of stability of the given resonating structures, we will follow the stability criteria for resonance structures. Here’s a step-by-step breakdown of the solution:

### Step 1: Identify the Resonating Structures
We have three resonating structures labeled as A, B, and C. We need to analyze each structure based on the stability criteria.

### Step 2: Apply Stability Criteria
1. **Charge-less Species**: Resonating structures without charges are generally more stable than those with charges.
2. **Charge Distribution**: If charges are present, the stability is determined by the location of the charges:
- A positive charge should be on an electropositive atom.
- A negative charge should be on an electronegative atom.
3. **Electronegativity Consideration**: Atoms like oxygen are electronegative and do not stabilize positive charges well.

### Step 3: Analyze Each Structure
- **Structure A**: This structure is charge-less. According to our criteria, it is highly stable.
- **Structure B**: This structure has a positive charge on oxygen. Since oxygen is electronegative, it cannot stabilize a positive charge effectively, making this structure less stable.
- **Structure C**: This structure has a negative charge on a carbon atom. While it has a charge, carbon can tolerate a negative charge better than oxygen can tolerate a positive charge. However, it is still less stable than a charge-less structure.

### Step 4: Order the Stability
Based on our analysis:
- **Most Stable**: Structure A (charge-less)
- **Moderately Stable**: Structure C (negative charge on carbon)
- **Least Stable**: Structure B (positive charge on oxygen)

Thus, the correct order of stability is:
**A > C > B**

### Final Answer
The correct order of stability of the resonating structures is A, C, B.

---