`B_(2)H_(6)` and `B_(4)H_(10)` respectively are examples of.

Options

A. Nido and arachno boranes
B. Nido and clso boranes
C. Closo and arachno boranes
D. Nido boranes

Answer

To determine what \( B_2H_6 \) and \( B_4H_{10} \) are examples of, we need to classify these boron hydrides based on their structures. Here's a step-by-step solution:

### Step 1: Understand the Types of Boron Hydrides
Boron hydrides can be classified into three main categories:
1. **Closo-boranes**: These have a closed structure and follow the general formula \( B_nH_n^{2-} \).
2. **Nido-boranes**: These have an open structure with one vertex missing, and they follow the general formula \( B_nH_n^{+4} \).
3. **Arachno-boranes**: These have an even more open structure with two vertices missing, following the general formula \( B_nH_n^{+6} \).

### Step 2: Analyze \( B_2H_6 \)
To classify \( B_2H_6 \):
- We can use the general formula for nido-boranes, which is \( B_nH_n^{+4} \).
- For \( B_2H_6 \):
- Here, \( n = 2 \).
- Plugging into the nido formula: \( B_2H_{2+4} = B_2H_6 \).
- This confirms that \( B_2H_6 \) is a **nido-borane**.

### Step 3: Analyze \( B_4H_{10} \)
Now, let's classify \( B_4H_{10} \):
- We can use the general formula for arachno-boranes, which is \( B_nH_n^{+6} \).
- For \( B_4H_{10} \):
- Here, \( n = 4 \).
- Plugging into the arachno formula: \( B_4H_{4+6} = B_4H_{10} \).
- This confirms that \( B_4H_{10} \) is an **arachno-borane**.

### Conclusion
Thus, \( B_2H_6 \) and \( B_4H_{10} \) are respectively examples of **nido-boranes** and **arachno-boranes**.

### Final Answer
**\( B_2H_6 \) is a nido-borane and \( B_4H_{10} \) is an arachno-borane.**

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