Write the mechanism of free radical polymerisation of ethene.

Explanation

### Step-by-Step Solution for the Mechanism of Free Radical Polymerization of Ethene

**Step 1: Chain Initiation**
- The process begins with the use of an initiator, such as benzoyl peroxide (C6H5COO). This initiator undergoes homolytic cleavage, breaking the bond to form two benzoyloxy radicals (C6H5COO•).
- The benzoyloxy radical further decomposes to produce carbon dioxide (CO2) and two phenyl radicals (C6H5•).

**Chemical Reaction:**
\[ \text{C}_6\text{H}_5\text{COO} \xrightarrow{\text{heat}} \text{C}_6\text{H}_5\cdot + \text{CO}_2 \]
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