In the catalytic dehydrogenation of acetylene, the following two reactions are expected to occur simultaneously in the reactor at \(1500 \mathrm{~K}\) and \(1 \mathrm{bar}\) :

\[ \begin{align*} \mathrm{C}_{2} \mathrm{H}_{2} & \rightarrow 2 \mathrm{C}+\mathrm{H}_{2} \tag{A}\\ 2 \mathrm{C}+2 \mathrm{H}_{2} & \rightarrow \mathrm{C}_{2} \mathrm{H}_{4} \tag{B} \end{align*} \]

At these conditions, the equilibrium constants for the reactions (A) and (B) are \(K_{\mathrm{A}}=5.2\) and \(K_{\mathrm{B}}=0.1923\). Assuming that the reaction mixture behaves like an ideal gas, determine the composition of the reactor effluent.