`Na_(2)B_(4)O_(7). 10H_(2) O overset(Delta)(to) X overset(Delta)(to) Y + Z ,X Y` and Z in the reaction are

Options

A. `X = Na_(2)B_(4)O_(7), Y NaBO_(2), Z = B_(2)O_(3)`
B. `X = Na_(2)B_(4)O_(7), Y = B_(2)O_(3), Z=H_(3)BO_(3)`
C. `X = B_(2)O_(3), Y = NaBO_(2), Z = B (OH)_(3)`
D. `X = NaBO_(2), Y = B_(2)O_(3), Z = B(OH)_(3)`

Explanation

To solve the problem, we need to analyze the thermal decomposition of borax, which is represented by the formula \( \text{Na}_2\text{B}_4\text{O}_7 \cdot 10\text{H}_2\text{O} \).

### Step-by-Step Solution:

1. **Identify the Compound**: The compound given is borax, \( \text{Na}_2\text{B}_4\text{O}_7 \cdot 10\text{H}_2\text{O} \). It is a hydrated sodium borate.

**Hint**: Recognize the formula and its components, including the water of hydration.

2. **Heating Borax**: When borax is heated, it loses its water molecules. The dehydration process can be represented as:
\[ \text{Na}_2\text{B}_4\text{O}_7 \cdot 10\text{H}_2\text{O} \xrightarrow{\Delta} \text{Na}_2\text{B}_4\text{O}_7 + 10\text{H}_2\text{O} \]
Here, \( \Delta \) represents heating.

**Hint**: Understand that heating causes the loss of water, leading to the formation of anhydrous sodium tetraborate.

3. **Further Heating**: Upon further heating of \( \text{Na}_2\text{B}_4\text{O}_7 \), it decomposes to form sodium metaborate and boron trioxide:
\[ \text{Na}_2\text{B}_4\text{O}_7 \xrightarrow{\Delta} 2\text{NaBO}_2 + \text{B}_2\text{O}_3 \]

**Hint**: Recognize that the decomposition of sodium tetraborate leads to the formation of two different products.

4. **Identify the Products**:
- The first product formed after the initial heating (compound X) is \( \text{NaBO}_2 \) (sodium metaborate).
- The second product (compound Y) is \( \text{NaBO}_2 \).
- The third product (compound Z) is \( \text{B}_2\text{O}_3 \) (boron trioxide).

**Hint**: Keep track of the stoichiometry and the types of compounds produced during the decomposition.

5. **Final Identification**:
- \( X = \text{NaBO}_2 \) (sodium metaborate)
- \( Y = \text{NaBO}_2 \) (sodium metaborate)
- \( Z = \text{B}_2\text{O}_3 \) (boron trioxide)

### Conclusion:
The final answer is:
- \( X = \text{NaBO}_2 \)
- \( Y = \text{NaBO}_2 \)
- \( Z = \text{B}_2\text{O}_3 \)

### Summary of Steps:
1. Identify the compound as borax.
2. Understand the dehydration process upon heating.
3. Recognize the further decomposition products.
4. Identify the final products based on the reaction.