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Q. The polymerization of propene to linear polypropene is represented by the reaction
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Where $n$ has large integral value, the average enthalpies of bond dissociation for $(C=C)$ and $(C-C)$ at $298 \,K$ are $+590$ and $+331 \,kJ \,mol ^{-1}$, respectively. The enthalpy of polymerization is $-360 \,kJ ^{-1}$. Find the value of $n$

Thermodynamics

Solution:

Energy released $=$ Energy due to formation of two single bonds
$=2 \times 331=662 \,kJ \,mol ^{-1}$ of propene
$\Delta H$ polymerization $/ mol =590-662=$
$-72\, kJ \,mol ^{-1}$
$\Delta H$ polymerisation $=-72 \times n=-360$
$n=5$