The polymerization of ethylene to linear polyethylene is represented by the reaction,
$n [C H_{2} = C H_{2}] \to - {[C H_{2} - C H_{2}]}_{n} -$
Where, n has large integral value. Given that the average enthalpies of bond dissociation for C =C and $C - C$ at 298K are +590 and +311 kJ/mol respectively, calculate the magnitude of enthalpy of polymerization per mole of ethylene at 298 K.

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answer is 32.

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Detailed Solution

Per mole of ethylene polymerized, one C = C bond is broken and two C – C bonds are formed.
$\Rightarrow Δ H^{o} (P o l y m .) = 590 - 2 \times 311$
= -32 kJ/mol

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