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Q. Calculate the enthalpy of vaporization of liquid water in $kJ/mol$ using the following data:
(i). $H_{2}(g)+\left(\frac{1}{2}\right)O_{2}\left(g\right) \rightarrow H_{2}O\left(\right.l\left.\right)$
$\Delta H=-285.77 \, kJ/mol$
(ii). $H_{2}\left(g\right)+\left(\frac{1}{2}\right)O_{2}\left(g\right) \rightarrow H_{2}O\left(\right.g\left.\right)$ ,
$\Delta H=-241.84 \, k J / m o l$

NTA AbhyasNTA Abhyas 2022

Solution:

Enthalpy of vapourisation of $\text{H}_{\text{2}} \text{O}$ is
$H_{2}O\left(l\right) \rightarrow H_{2}O\left(g\right)$
i.e. (ii)-(i)
Enthalpy of vaporization of liquid water $=285.77-241.84=+43.93 \, kJ \, mol^{- 1}$