Consider the following compounds :
`CH_(4),CH_(3)-CH_(3), CH_(3)OH, CH_(3)-CH_(2)-CH_(3),CH_(3)-CH_(2)-CH_(2)-CH_(2)-CH_(3)`
`H_(3)C-overset(CH_(3))overset("| ")"CH"-CH_(3),H_(3)C-overset(CH_(3))overset("| ")"CH"-overset(CH_(3))overset("| ")"CH"-CH_(3)`
How many compounds can be prepared by Wurtz reaction in high heilds?

Answer

To determine how many compounds can be prepared by the Wurtz reaction in high yields from the given compounds, let's analyze each compound step by step.

### Step 1: Understand the Wurtz Reaction
The Wurtz reaction involves the coupling of alkyl halides in the presence of sodium metal and dry ether to produce higher alkanes. The general reaction can be represented as:
\[ 2 R-X + 2 Na \xrightarrow{dry \, ether} R-R + 2 NaX \]
Where \( R \) is the alkyl group and \( X \) is a halogen.

### Step 2: Identify the Given Compounds
The compounds provided are:
1. \( CH_4 \) (Methane)
2. \( CH_3-CH_3 \) (Ethane)
3. \( CH_3OH \) (Methanol)
4. \( CH_3-CH_2-CH_3 \) (Propane)
5. \( CH_3-CH_2-CH_2-CH_2-CH_3 \) (Butane)
6. \( H_3C-CH_3 \) (Ethane, repeated)
7. \( H_3C-CH(CH_3)-CH_3 \) (Isobutane)

### Step 3: Analyze Each Compound for Wurtz Reaction
- **Methane (\( CH_4 \))**: Cannot be used as it has no halogen.
- **Ethane (\( CH_3-CH_3 \))**: Cannot be used as it is not an alkyl halide.
- **Methanol (\( CH_3OH \))**: Cannot be used as it is not an alkyl halide.
- **Propane (\( CH_3-CH_2-CH_3 \))**: Can be converted to an alkyl halide (e.g., \( CH_3-CH_2-CH_2Br \)) and can participate in the Wurtz reaction to yield butane (\( CH_3-CH_2-CH_2-CH_3 \)).
- **Butane (\( CH_3-CH_2-CH_2-CH_2-CH_3 \))**: Can be converted to an alkyl halide and can participate in the Wurtz reaction to yield hexane (\( CH_3-CH_2-CH_2-CH_2-CH_2-CH_3 \)).
- **Isobutane (\( H_3C-CH(CH_3)-CH_3 \))**: Can be converted to an alkyl halide and can participate in the Wurtz reaction to yield pentane (\( CH_3-CH_2-CH_2-CH_2-CH_3 \)).

### Step 4: Count the Compounds That Can Be Formed
From the analysis:
- **Propane** can yield butane.
- **Butane** can yield hexane.
- **Isobutane** can yield pentane.

Thus, the valid compounds that can be formed through the Wurtz reaction in high yields are:
1. Butane from propane.
2. Hexane from butane.
3. Pentane from isobutane.

### Conclusion
The total number of compounds that can be prepared by the Wurtz reaction in high yields from the given compounds is **3**.