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Explain free redical mecheanism for the ...

Explain free redical mecheanism for the polymerization of ethene.

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Polymerization of ethene to polythene proceeds through free radical mechanism .The initiator used in this reaction is benzoyl perroxide. This mecchanism invovels three steps.
1) Chain initiation : The addition of phenyl free redical formed by the peroxide to the ethene double bond and forms a large free redical .`C_6H_5-overset(O)overset(||)C-O-O-overset(O)overset(||)C-C_6H_5to2C_(6)H_(5) overset(O) overset(||)C-Otounderset("Phenyl radical")(2C_6H_5)`
`C_6H_5+CH_2=toC_6H_5-CH_2-CH_2`
2) Chain propagation : The above formed radical reacts with another molecule of ethene abother bigger sized radical is formed .The repetetion of this sequence takes places.
`{:(C_(6)H_(5)-CH_(2)+CH_(2)=CH_(2)toC_(6)H_(5)-CH_(2)-CH_(2)-CH_(2)CH_(2)),(" "darr),(" "C_(6)H_(5)-(CH_(2)-CH_(2))_(n)-CH_(2)-CH_(2)):}`
3) Chain propagation : The above formed radical reacts with another radical to from polymerised product. Polymerization of ethene to polythene proceeds through free radical mechanism .The initiator used in this reaction is benzoyl perroxide. This mecchanism invovels three steps.
1) Chain initiation : The addition of phenyl free redical formed by the peroxide to the ethene double bond and forms a large free redical .`C_6H_5-overset(O)overset(||)C-O-O-overset(O)overset(||)C-C_6H_5to2C_(6)H_(5) O)overset(||)C-Otounderset("Phenyl radical")(2C_6H_5)`
`C_6H_5+CH_2=toC_6H_5-CH_2-CH_2`
2) Chain propagation : The above formed radical reacts with another molecule of ethene abother bigger sized radical is formed .The repetetion of this sequence takes places.
`{:(C_(6)H_(5)-CH_(2)+CH_(2)=CH_(2)toC_(6)H_(5)-CH_(2)-CH_(2)-CH_(2)CH_(2)),(" "darr),(" "C_(6)H_(5)-(CH_(2)-CH_(2))_(n)-CH_(2)-CH_(2)):}`
3) Chain propagation : The above formed radical reacts with another radical to from polymerised product.
`{:(C_(6)H_(5)-(CH_(2)-CH_(2))_(n)-CH_(2)toC_(6)H_(5)-(CH_(2)-CH_(2))_(n)-CH_(2)-CH_(2)-CH_(2)),(" "+ " "darr),(C_(6)H_(5)-(CH_(2)-CH_(2))_(n)-CH_(2)-CH_(2)" "H_(5)C_(6)-(H_(2)C-H_(2)C)_(n)):}`
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