Chapter 5, Problem 5.69QE

Calculate ΔH for the reaction

$\text{Zn}\left(\text{s}\right)+\frac{1}{2}{\text{O}}_{\text{2}}\left(\text{g}\right)\to \text{ZnO}\left(\text{s}\right)\Delta H=?$

given the equations

$\begin{array}{l}\text{Zn}\left(\text{s}\right)+2\text{HCl}\left(\text{aq}\right)\text{}\to {\text{ZnCl}}_{\text{2}}\left(\text{aq}\right)+{\text{H}}_{\text{2}}\left(\text{g}\right)\Delta H=-152.4\text{kJ}\\ \text{ZnO}\left(\text{s}\right)+2\text{HCl}\left(\text{aq}\right)\to {\text{ZnCl}}_{\text{2}}\left(\text{aq}\right)+{\text{H}}_{\text{2}}\text{O}\left(\mathcal{l}\right)\Delta H=-90.2\text{kJ}\\ 2{\text{H}}_{\text{2}}\left(\text{g}\right)+{\text{O}}_{\text{2}}\left(\text{g}\right)\to 2{\text{H}}_{\text{2}}\text{O}\left(\mathcal{l}\right)\Delta H=-571.6\text{kJ}\end{array}$