If number of lone pairs on central atom in `XeF_(2), XeF_(4) and XeF_(6)` are x, y, z. What is the sum of `x+y+z` here?

Answer

To find the sum of the lone pairs on the central atom in the compounds XeF2, XeF4, and XeF6, we will analyze each compound step by step.

### Step 1: Determine the valence electrons of Xenon (Xe)
- Xenon is a noble gas with the electronic configuration of \( [Kr] 5s^2 4d^{10} 5p^6 \).
- Therefore, it has **8 valence electrons**.

### Step 2: Analyze XeF2
- In XeF2, xenon forms **2 bonds** with fluorine atoms.
- Each bond uses **1 valence electron** from xenon.
- Thus, 2 electrons are used for bonding, leaving:
\[ 8 - 2 = 6 \text{ electrons remaining} \]
- These remaining electrons will form **3 lone pairs** (since 6 electrons can be grouped into 3 pairs).
- Therefore, for XeF2, \( x = 3 \).

### Step 3: Analyze XeF4
- In XeF4, xenon forms **4 bonds** with fluorine atoms.
- Again, each bond uses **1 valence electron** from xenon.
- Thus, 4 electrons are used for bonding, leaving:
\[ 8 - 4 = 4 \text{ electrons remaining} \]
- These remaining electrons will form **2 lone pairs** (since 4 electrons can be grouped into 2 pairs).
- Therefore, for XeF4, \( y = 2 \).

### Step 4: Analyze XeF6
- In XeF6, xenon forms **6 bonds** with fluorine atoms.
- Each bond uses **1 valence electron** from xenon.
- Thus, 6 electrons are used for bonding, leaving:
\[ 8 - 6 = 2 \text{ electrons remaining} \]
- These remaining electrons will form **1 lone pair** (since 2 electrons can be grouped into 1 pair).
- Therefore, for XeF6, \( z = 1 \).

### Step 5: Calculate the sum of lone pairs
- Now, we can find the total number of lone pairs:
\[ x + y + z = 3 + 2 + 1 = 6 \]

### Final Answer
The sum of the lone pairs on the central atom in XeF2, XeF4, and XeF6 is **6**.

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