Benzene gas $\left(C_{6} H_{6}\right)$ at $25^{\circ} \mathrm{C}$ is burned during a steady-flow combustion process with 95 percent theoretical air that enters the combustion chamber at $25^{\circ} \mathrm{C}$. All the hydrogen in the fuel burns to $\mathrm{H}_{2} \mathrm{O},$ but part of the carbon burns to $\mathrm{CO}$. If the products leave at $1000 \mathrm{~K}$, determine $(a)$ the mole fraction of the $\mathrm{CO}$ in the products and $(b)$ the heat transfer from the combustion chamber during this process.