In cyclic structure of `(SO_(3))_(x)` if x is number of `SO_(3)` moleculles involved in cycle formation and y is the number of `sp^(3)` hybridised S - atoms What is the sum of `x+y`?

Answer

To solve the problem, we need to analyze the cyclic structure of sulfur trioxide (SO₃) and determine the values of x and y.

### Step 1: Understand the structure of SO₃
Sulfur trioxide (SO₃) is a molecule that consists of one sulfur atom bonded to three oxygen atoms. In its molecular structure, sulfur is typically in the +6 oxidation state and exhibits sp² hybridization.

### Step 2: Identify the cyclic structure
When sulfur trioxide molecules condense, they can form a cyclic structure known as a trimer. This cyclic trimer is represented as (SO₃)₃, which means three SO₃ molecules are involved in the formation of the cycle.

### Step 3: Determine the value of x
In the cyclic structure of (SO₃)ₓ, x represents the number of SO₃ molecules involved in the cycle formation. Since we have established that the cyclic trimer consists of three SO₃ molecules, we can conclude that:
- **x = 3**

### Step 4: Determine the hybridization of sulfur atoms in the cyclic structure
In the cyclic trimer, the sulfur atoms are involved in forming bonds with other sulfur and oxygen atoms. When sulfur forms four bonds (three with oxygen and one with another sulfur atom), it adopts an sp³ hybridization state.

### Step 5: Determine the value of y
In the cyclic trimer, there are three sulfur atoms, and since they are all involved in the cyclic structure and are hybridized as sp³, we can conclude that:
- **y = 3**

### Step 6: Calculate the sum of x and y
Now that we have both values:
- x = 3
- y = 3

The sum of x and y is:
- **x + y = 3 + 3 = 6**

### Final Answer
The sum of x and y is **6**.

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