Deuteromethane can be prepared if `D_(2)O` reacts with

Options

A. `Al_(4)C_(3)`
B. `CaC_(2)`
C. Both the above
D. None of the above

Answer

To solve the problem of how deuteromethane (CD₄) can be prepared from deuterium oxide (D₂O), we need to analyze the reactions involved. Here’s a step-by-step breakdown of the solution:

### Step 1: Understand the Components
- **Deuterium Oxide (D₂O)**: This is water where the hydrogen atoms are replaced by deuterium, an isotope of hydrogen with one proton and one neutron.
- **Deuteromethane (CD₄)**: This is similar to methane (CH₄) but with all four hydrogen atoms replaced by deuterium.

### Step 2: Identify the Reaction
To produce CD₄, we need to find a suitable reactant that can react with D₂O. The question provides several options:
1. Al₄C₃ (Aluminum carbide)
2. CaC₂ (Calcium carbide)
3. Both of the above
4. None of the above

### Step 3: Hydrolysis of Aluminum Carbide
The hydrolysis of aluminum carbide (Al₄C₃) with water (H₂O) produces methane (CH₄) and aluminum oxide (Al₂O₃):
\[ \text{Al}_4\text{C}_3 + 12 \text{H}_2\text{O} \rightarrow 3 \text{CH}_4 + 4 \text{Al}_2\text{O}_3 \]

### Step 4: Modify the Reaction for D₂O
When we replace H₂O with D₂O in the reaction, we can expect a similar outcome:
\[ \text{Al}_4\text{C}_3 + 12 \text{D}_2\text{O} \rightarrow 3 \text{CD}_4 + 4 \text{Al}_2\text{O}_3 \]

### Step 5: Conclusion
From the above analysis, we conclude that deuteromethane (CD₄) can indeed be prepared by reacting deuterium oxide (D₂O) with aluminum carbide (Al₄C₃). Therefore, the correct answer is:
**Option 1: Al₄C₃**