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The enthalpy of formation of \( \mathrm{KCl}(\mathrm{s}) \) from the following data is
(i) \( \mathrm{KOH}(\mathrm{aq})+\mathrm{HCl}(\mathrm{aq}) \rightarrow \mathrm{KCl}(\mathrm{aq})+\mathrm{H}_{2} \mathrm{O} \) (l): \( \Delta H=-13.7 \mathrm{kcal} \)
(ii) \( \mathrm{H}_{2}(\mathrm{~g})+1 / 2 \mathrm{O}_{2}(\mathrm{~g}) \rightarrow \mathrm{H}_{2} \mathrm{O}(\mathrm{l}): \Delta H=-68.4 \mathrm{kcal} \)
(iii) \( 1 / 2 \mathrm{H}_{2}(\mathrm{~g})+1 / 2 \mathrm{Cl}_{2}(\mathrm{~g})+\mathrm{aq} \rightarrow \mathrm{HCl}(\mathrm{aq}) \) : \( \Delta H=-39.3 \mathrm{kcal} \)
(iv) \( \mathrm{K}(\mathrm{s})+1 / 2 \mathrm{O}_{2}(\mathrm{~g})+1 / 2 \mathrm{H}_{2}(\mathrm{~g})+\mathrm{aq} \rightarrow \mathrm{KOH}(\mathrm{aq}) \) : \( \Delta H=-116.5 \mathrm{kcal} \)
(v) \( \mathrm{KCl}(\mathrm{s})+\mathrm{aq} \rightarrow \mathrm{KCl}(\mathrm{aq}): \Delta H=+4.4 \mathrm{kcal} \)
(a) \( +105.5 \mathrm{kcal} / \mathrm{mol} \)
(b) \( -105.5 \mathrm{kcal} / \mathrm{mol} \)
(c) \( -13.7 \mathrm{kcal} / \mathrm{mol} \)
(d) \( -18.1 \mathrm{kcal} / \mathrm{mol} \)
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