If $C\left(s\right)+O_2\left(g\right)\to C{O}_2\left(g\right),\Delta H=-X,$
$CO\left(g\right)+\frac{1}{2}{O}_2\left(g\right)\to C{O}_2\left(g\right),\Delta H=-Y,$
Calculate ${\Delta }_{f}H$ for $C{O}_{\left(g\right)}$ formation

For the following reaction

${\mathrm{Fe}}_2{\mathrm{O}}_{3\left(\mathrm{s}\right)}+3{\mathrm{CO}}_{\left(\mathrm{g}\right)}⟶2{\mathrm{Fe}}_{\left(\mathrm{s}\right)}+3{\mathrm{CO}}_{2\left(\mathrm{g}\right)} \mathrm{\Delta H}°=-29.8 \mathrm{kJ}$ and $\mathrm{\Delta S}°=15 {\mathrm{JK}}^{-1}$. What is the value of ${\mathrm{\Delta S}}_{\left(\mathrm{total}\right)}$ at $298 \mathrm{K}$?