In the following pairs of the halogen compounds which compounds undergoes faster `S_(M_+(3)^(1))` reaction.
(i) `CH_(3)-CH_(2)-CH_(2)-CH_(2)-Cl and CH_(3)-overset(CH_(3))overset("| ")underset(CH_(3))underset("| ")"C "-Cl`
(ii) `CH_(3)-CH_(2)-Br and CH_(3)-CH_(2)-I`

Explanation

To determine which compounds undergo faster \( S_N^1 \) reactions in the given pairs, we need to analyze the stability of the carbocations formed during the reaction. The \( S_N^1 \) mechanism involves the formation of a carbocation intermediate, and the rate of the reaction is influenced by the stability of this carbocation.

### Step-by-Step Solution:

**(i)** Compare \( CH_3-CH_2-CH_2-CH_2-Cl \) (butyl chloride) and \( CH_3-C(CH_3)_3-Cl \) (tertiary butyl chloride).

1. **Identify the type of carbocation formed:**
- For butyl chloride \( CH_3-CH_2-CH_2-CH_2-Cl \):
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