A vessel is filled with hydrogen and carbon dioxide in equal parts by volume and the mixture is ignited. If the initial pressure and temperature are \(2 \mathrm{bar}\) and \(60^{\circ} \mathrm{C}\) respectively and the maximum pressure is \(11.8 \mathrm{bar}\), estimate

(a) the maximum temperature;

(b) the equilibrium constant, \(K_{p}\) and

(c) the volumetric analysis of the products at the maximum temperature.

Use

\[\begin{gathered}\log _{10} K_{p}=1.3573-\frac{1354}{T}, \\\text { where } K_{p}=\frac{p_{\mathrm{H}_{2} \mathrm{O}} p_{\mathrm{CO}}}{p_{\mathrm{H}_{2}} p_{\mathrm{CO}_{2}}}\end{gathered}\]

and \(T=\) temperature in kelvin.

[1965; 4.6573;0.3417;0.3417;0.1583;0.1583]