If in `I_(2)Cl_(6)` the number of covalent bonds and coordinate bonds are m and n respectively. Find the sum of `m+n`

Answer

To solve the problem, we need to analyze the structure of \( I_2Cl_6 \) and identify the number of covalent bonds (m) and coordinate bonds (n).

### Step 1: Understand the Structure of \( I_2Cl_6 \)
- \( I_2Cl_6 \) is a dimer of \( ICl_3 \). This means it consists of two \( ICl_3 \) units.
- The structure can be visualized as two iodine (I) atoms bonded to six chlorine (Cl) atoms.

### Step 2: Identify the Types of Bonds
- In \( I_2Cl_6 \), there are both covalent and coordinate bonds.
- A covalent bond is formed when two atoms share a pair of electrons.
- A coordinate bond (also known as a dative bond) is formed when one atom donates both electrons to the bond.

### Step 3: Count the Covalent Bonds
- In the structure of \( I_2Cl_6 \), we can identify the covalent bonds:
- Each \( ICl_3 \) unit has three covalent bonds between I and Cl.
- Since there are two \( ICl_3 \) units, the total number of covalent bonds is:
\[ 3 \text{ (from one } ICl_3\text{)} \times 2 = 6 \text{ covalent bonds} \]
- Thus, \( m = 6 \).

### Step 4: Count the Coordinate Bonds
- In the \( I_2Cl_6 \) structure, there are two coordinate bonds:
- Each iodine atom forms one coordinate bond with a chlorine atom.
- Therefore, \( n = 2 \).

### Step 5: Calculate the Sum \( m + n \)
- Now, we can find the sum of covalent bonds and coordinate bonds:
\[ m + n = 6 + 2 = 8 \]

### Final Answer
The sum of \( m + n \) is \( 8 \).

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