$(3)$ Find $H$ for $N_2(g)+2O_2(g)2N{O}_2(g)$ given the reactions:

$N_2(g)+3H_2(g)2N{H}_3(g),H=-115kJ$

$2N{H}_3(g)+4H_{2}O(l)2N{O}_2(g)+7H_2(g),H=-142\mathrm{.}5kJ$

$H_{2}O(l)H_2(g)+\frac{1}{2}{O}_2(g),H=-43\mathrm{.}7kJ$

$(4)$ Find $H$ for $C{O}_2(g)C(s)+O_2(g)$ given the reactions below:

$H_{2}O(l)H_2(g)+\frac{1}{2}{O}_2(g)$

$C_2{H}_6(g)2C(s)+3H_2(g)$

$2C{O}_2(g)+3H_{2}O(l)C_2{H}_6(g)+\frac{7}{2}{O}_2(g)$

$H=643kJ$

$H=190\mathrm{.}6kJ$

$H=3511\mathrm{.}1kJ$