Calculate the theoretical flame temperature for \(\mathrm{CO}\) when burned with \(100 \%\) excess air while both the reactants are at \(373 \mathrm{~K}\). The heat capacities of \(\mathrm{CO}, \mathrm{O}_{2}, \mathrm{~N}_{2}\) and \(\mathrm{CO}_{2}\) are \(29.33 \mathrm{~J} / \mathrm{mol}-\mathrm{K}, 34.83 \mathrm{~J} / \mathrm{mol}-\mathrm{K}, 33.03 \mathrm{~J} / \mathrm{mol}-\mathrm{K}\) and \(53.59 \mathrm{~J} / \mathrm{mol}-\mathrm{K}\), respectively. The standard heat of combustion at \(298 \mathrm{~K}\) is \(-283178 \mathrm{~kJ} / \mathrm{mol} \mathrm{CO}_{2}\).