Given (A) 2 CO ( g )+ O_2( g ) → 2 CO_2( g ) Δ H_1^θ=-x kJ mol^-1 (B) C (graphite) + O_2( g ) → CO_2( g ) Δ H_2^θ=-y kJ mol^-1 The Δ H^θ for the…

Given

$\displaystyle 2 \mathrm{CO}(\mathrm{g})+\mathrm{O}_2(\mathrm{~g}) \rightarrow 2 \mathrm{CO}_2(\mathrm{~g})$ $\displaystyle \Delta \mathrm{H}_1^\theta=-x \mathrm{~kJ} \mathrm{~mol}^{-1}$

$\displaystyle \mathrm{C}$ (graphite) $\displaystyle +\mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{CO}_2(\mathrm{~g})$ $\displaystyle \Delta \mathrm{H}_2^\theta=-y \mathrm{~kJ} \mathrm{~mol}^{-1}$

The $\displaystyle \Delta \mathrm{H}^\theta$ for the reaction

$\displaystyle \mathrm{C}($ graphite $\displaystyle )+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{CO}(\mathrm{g})$ is