The answer to each of the following is a non-negative integer.
In the following reaction, find the number of d-orbit- als involved in bonding of compound A.
`PCI_5+SO_2toA+POCI_3`

Answer

To find the number of d-orbitals involved in the bonding of compound A (SOCl2) formed from the reaction of PCl5 and SO2, we can follow these steps:

### Step 1: Identify the Reaction
The reaction given is:
\[ \text{PCl}_5 + \text{SO}_2 \rightarrow \text{A} + \text{POCl}_3 \]
From the reaction, we can identify that compound A is \( \text{SOCl}_2 \) (sulfuryl chloride).

**Hint:** Identify the products of the reaction to understand what compound A is.

### Step 2: Determine the Structure of SOCl2
The molecular structure of \( \text{SOCl}_2 \) consists of a sulfur atom (S) bonded to two chlorine atoms (Cl) and one oxygen atom (O). The sulfur atom has a total of 6 valence electrons and forms two single bonds with chlorine and one double bond with oxygen.

**Hint:** Draw the Lewis structure of SOCl2 to visualize the bonding.

### Step 3: Identify the Hybridization of Sulfur
In \( \text{SOCl}_2 \), sulfur is typically in the +6 oxidation state when bonded to oxygen and chlorine. The hybridization of sulfur in this compound can be determined by the number of bonds and lone pairs around it. Sulfur forms:
- 1 double bond with oxygen (O)
- 2 single bonds with chlorine (Cl)

This results in a total of 3 bonding pairs and 1 lone pair, indicating that the hybridization of sulfur is \( sp^3 \).

**Hint:** Consider the number of bonds and lone pairs to determine hybridization.

### Step 4: Determine the Involvement of d-Orbitals
In \( sp^3 \) hybridization, the orbitals involved are the s and p orbitals. However, in the case of sulfur, it can also utilize d-orbitals for bonding due to its ability to expand its octet.

When sulfur forms bonds with oxygen (which has a lone pair), it can involve its d-orbitals in the bonding. The double bond between sulfur and oxygen can be described as involving one of sulfur's d-orbitals.

**Hint:** Recall that d-orbitals can be involved in bonding when elements can expand their octet.

### Step 5: Count the d-Orbitals Involved
In this case, we find that only one d-orbital is involved in the formation of the double bond with oxygen, while the other bonds are formed using the s and p orbitals.

Thus, the number of d-orbitals involved in the bonding of compound A (SOCl2) is **1**.

**Final Answer:** The number of d-orbitals involved in bonding of compound A (SOCl2) is **1**.