Enthalpy of solution of $\mathrm{NaOH}$ (solid) in water is $-41.6\mathrm{k}\mathrm{J}\mathrm{ }\mathrm{m}\mathrm{o}{\mathrm{l}}^{-1}$. When $\mathrm{NaOH}$ is dissolved in water, the temperature of water

Calculate the lattice energy for the reaction

${\mathrm{Li}}^{+}\left(g\right)+{\mathrm{Cl}}^{-}\left(g\right)⟶\mathrm{LiCl}\left(s\right)$

Given that

${\mathrm{\Delta H}}_{sub}\left(\mathrm{Li}\right)=160; {\mathrm{\Delta H}}_{\mathrm{dss}}\left({\mathrm{Cl}}_2\right)=244; \mathrm{IP}\left(\mathrm{Li}\right)=520$;

${\mathrm{E}}_{\mathrm{A}}\left(\mathrm{Cl}\right)=-365$ and ${\mathrm{\Delta H}}_f\left(\mathrm{LiCl}\right)=-400$ (all in $\mathrm{kJ} {\mathrm{mole}}^{-1}$)