The exhaust gas of a furnace burning a hydrocarbon fuel in air is sampled and found to be \(13.45 \% \mathrm{CO}_{2} ; 1.04 \% \mathrm{CO} ; 2.58 \% \mathrm{O}_{2} ; 7.25 \% \mathrm{H}_{2} \mathrm{O} ; 75.68 \% \mathrm{~N}_{2}\) and a negligible amount of \(\mathrm{H}_{2}\). If the temperature of the exhaust gas is \(2500 \mathrm{~K}\), calculate

(a) the carbon/hydrogen ratio of the fuel;

(b) the equivalence ratio;

(c) the equilibrium constant for the dissociation of \(\mathrm{CO}_{2}\) (show this as a function of pressure) and

(d) the pressure of the exhaust gas.

\(\left[1.0 ; 0.898 ; 80.52 / p^{1 / 2} ; 8.874\right]\)