The bond dissociation energies of , , and are observed to be in the ratio 1:0.5:1. If the standard e — Thermodynamics and Thermochemistry Chemistry Question
Question
The bond dissociation energies of $X_2$, $Y_2$, and $XY$ are observed to be in the ratio 1:0.5:1. If the standard enthalpy of formation for $XY$ is -200 kJ/mol, what is the exact bond dissociation energy of $X_2$?
Answer: A
💡 Solution & Explanation
Let the bond energies be $x$, $0.5x$, and $x$. The formation reaction is $0.5 X_2 + 0.5 Y_2 \rightarrow XY$. $\Delta H_f = \sum BE_{reactants} - \sum BE_{products} = [0.5(x) + 0.5(0.5x)] - x = 0.75x - x = -0.25x$. Setting $-0.25x = -200$ yields $x = 800$ kJ/mol.
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