The species `CH_(3)overset(+)CHCH_(3)` is less stable than :

Options

A. `(CH_(3))_(3)C^(+)`
B. `CH_(3)CH_(2)overset(+)CH_(2)`
C. `CH_(3)overset(+)CH_(2)`
D. `CH_(3)^(+)`

Explanation

To determine which species is more stable than the given carbocation \( CH_3^+CHCH_3 \), we need to analyze the stability of carbocations based on hyperconjugation and inductive effects.

### Step-by-Step Solution:

1. **Identify the Given Carbocation:**
The given species is \( CH_3^+CHCH_3 \), which is a secondary carbocation. It has one positive charge on the carbon that is bonded to two methyl groups and one hydrogen.

2. **Evaluate the Stability Factors:**
- **Hyperconjugation:** This involves the interaction of the empty p-orbital of the carbocation with the filled orbitals of adjacent C-H bonds. Each methyl group contributes to hyperconjugation.
- **Inductive Effect:** Alkyl groups are electron-donating through the inductive effect, which can help stabilize the positive charge.

3. **Count the Alpha Hydrogens:**
In the given carbocation:
- There are 6 alpha hydrogens (3 from each methyl group).
- This allows for some hyperconjugation, but it is not the most stable configuration.

4. **Compare with Other Carbocations:**
- **Tertiary Carbocation:** A carbocation with three alkyl groups (e.g., \( (CH_3)_3C^+ \)) would have 9 alpha hydrogens contributing to hyperconjugation. This makes it more stable than the given carbocation.
- **Primary Carbocation:** A primary carbocation (e.g., \( CH_3CH_2^+ \)) is less stable than the secondary carbocation due to fewer hyperconjugation and inductive effects.

5. **Conclusion:**
The species \( CH_3^+CHCH_3 \) is less stable than a tertiary carbocation \( (CH_3)_3C^+ \) due to the higher number of alpha hydrogens and stronger hyperconjugation in the tertiary carbocation.

### Final Answer:
The species \( CH_3^+CHCH_3 \) is less stable than \( (CH_3)_3C^+ \).