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Question
From the following bond energies:
H – H bond energy: 431.37 kJ mol−1
C = C bond energy: 606.10 kJ mol−1
C – C bond energy: 336.49 kJ mol−1
C – H bond energy: 410.50 kJ mol−1
Enthalpy for the given reaction will be:
\[\begin{array}{cc}
\phantom{}\ce{H}\phantom{...}\ce{H}\phantom{...................}\ce{H}\phantom{...}\ce{H}\phantom{....}\\
\phantom{.}|\phantom{....}|\phantom{....................}|\phantom{....}|\phantom{.....}\\
\ce{C = C + H - H -> H - C - C - H}\\
\phantom{.}|\phantom{....}|\phantom{....................}|\phantom{....}|\phantom{.....}\\
\phantom{}\ce{H}\phantom{...}\ce{H}\phantom{...................}\ce{H}\phantom{...}\ce{H}\phantom{....}
\end{array}\]
Options
553.0 kJ mol−1
−120.0 kJ mol−1
−243.6 kJ mol−1
1523.6 kJ mol−1
Solution
−120.0 kJ mol−1
Explanation:
Enthalpy of reaction = \[\ce{{B.E.}_{(Reactant)} - {B.E.}_{(Product)}}\]
= \[\ce{[{B.E.}_{(C = C)} + 4{B.E.}_{(C - H)} + {B.E.}_{(H - H)}] - [{B.E.}_{(C - C)} + 6{B.E.}_{(C - H)}]}\]
= [606.1 + ((4 × 410.5) + 431.37)] − [336.49 + (6 × 410.5)]
= −120.0 kJ mol−1