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Q. Heat of neutralization of $CsOH$ with all strong acid is $13.4\, kcal \, mol ^{-1}$. The heat released on neutralization of $CsOH$ with $HF$ (weak acid)is $16.4\, kcal\, mol ^{-1} . \Delta H^{\ominus}$ of ionization of $HF$ is

Thermodynamics

Solution:

$H ^{\oplus}+\overset{\ominus}{ O}H \longrightarrow H _2 O \,\,\, \Delta H_1=-13.4\, kcal$
$\overset{\ominus}{ O}H + HF \longrightarrow H _2 O + F ^{\ominus} \,\,\,\Delta H_2=-16.4 \, kcal$
$HF \longrightarrow H ^{\oplus}+ F ^{\ominus} \,\,\,\Delta H_1=?$
$\Delta H_3=\Delta H_2-\Delta H_1=-16.4-(-13.4)=-3.0\, kcal$