Arrange the following alcohols in order of increasing reactivity towards sodium metal .
`(CH_(3))_(3) C- OH (ii) (CH_(3))_(2) CH - OH`
`CH_(3)CH_(2)OH`

Options

A. (iii) `lt ` (ii) `lt`( i)
B. (ii) `lt` (i) `lt` (iii)
C. (i) `lt` (ii) `lt` (iii)
D. (iii) `lt ` (i) `lt` (ii)

Explanation

To arrange the given alcohols in order of increasing reactivity towards sodium metal, we need to consider their acidity. The more acidic an alcohol is, the more reactive it will be with sodium metal.

### Step-by-Step Solution:

1. **Identify the Alcohols**:
The alcohols given are:
- (i) tert-Butanol: (CH₃)₃C-OH
- (ii) Isopropanol: (CH₃)₂CH-OH
- (iii) Ethanol: CH₃CH₂OH

2. **Understand Reactivity with Sodium**:
Sodium metal reacts with alcohols to form alkoxide ions and hydrogen gas. The reactivity of alcohols with sodium is related to their acidity; more acidic alcohols will react more readily with sodium.

3. **Determine Acidity**:
- **Tertiary Alcohol (tert-Butanol)**: (CH₃)₃C-OH
- Tertiary alcohols are less acidic because the alkyl groups are electron-donating, which destabilizes the negative charge on the alkoxide ion formed after deprotonation.
- **Secondary Alcohol (Isopropanol)**: (CH₃)₂CH-OH
- Secondary alcohols are more acidic than tertiary alcohols but less acidic than primary alcohols.
- **Primary Alcohol (Ethanol)**: CH₃CH₂OH
- Primary alcohols are the most acidic among the three and will react most vigorously with sodium.

4. **Order of Reactivity**:
Based on the acidity:
- Ethanol (most acidic) > Isopropanol > tert-Butanol (least acidic)
- Therefore, the order of increasing reactivity towards sodium metal is:
- tert-Butanol < Isopropanol < Ethanol

5. **Final Arrangement**:
- (CH₃)₃C-OH < (CH₃)₂CH-OH < CH₃CH₂OH

### Conclusion:
The correct order of increasing reactivity towards sodium metal is:
**tert-Butanol < Isopropanol < Ethanol**