Determine the standard heat of reaction $($in $k\frac{J}{m}ol)$ of the following reaction at

$298K$ :

$2C_{(s)}+3H_{2(g)}{C}_2{H}_{6(g)}$

Use Hess law and the data of standard enthalpies of the following reactions:

$C_2{H}_{6(g)}+3\mathrm{.}5O_{2(g)}2C{O}_{2(g)}+3H_2{O}_{(l)},H_{r1}^o=-1560k\frac{J}{m}ol$

$C_{(s)}+O_{2(g)}C{O}_{2(g)},H_{r2}^o=-393\mathrm{.}51k\frac{J}{m}ol$

$H_{2(g)}+0\mathrm{.}5O_{2(g)}{H}_2{O}_{(l)},H_{r3}^o=-285\mathrm{.}8k\frac{J}{m}ol$