MCQ
Bond dissociation enthalpy of $H_2, Cl_2$ and $HCl$ are $434, 242$ and $431\ kJ\, mol^{-1}$ respectively. Enthalpy of formation of $HCl$ is ............... $\mathrm{kJ \,mol}^{-1}$
  • $-93$
  • B
    $245$
  • C
    $93$
  • D
    $-245 $

Answer

Correct option: A.
$-93$
a
$\mathrm{H}_{2}+\mathrm{Cl}_{2} \rightarrow 2 \mathrm{HCl}$

$\Delta H_{\text {reaction }}=\Sigma(\mathrm{B.E})_{\text {reactant }}-\Sigma(\mathrm{B.E})_{\text {product }}$

$=\left[(\mathrm{B.E})_{\mathrm{H}-\mathrm{H}}+(\mathrm{B.E})_{\mathrm{Cl}-\mathrm{Cl}}\right]-\left[2 \mathrm{B.E}_{(\mathrm{H}-\mathrm{Cl})}\right]$

$=434+242-(431) \times 2$

$\Delta H_{\text {reaction }}=-186 \mathrm{kJ}$

Heat of formation is the amount of heat absorbed or evolved when one mole of substance is directly obtained from its constituent element.

Hence, enthalpy of formation of $\mathrm{HCl}=-186 / 2\; \mathrm{kJ}$

$=-93 \;\mathrm{kJ} \mathrm{mol}^{-1}$

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