Q$2$ In the catalytic dehydrogenation of acetylene, the following two reactions are expected to occur simultaneously in the reactor at $1500K$ and $1$ bar

$C_2{H}_{2}2C+H_{2}EqA$

$2C+2H_2{C}_2{H}_{4}EqB$

At these conditions, the equilibrium constant of reaction A and $B$ are $K_A=5\mathrm{.}2$ and $K_B=0\mathrm{.}1923.$ Assuming that the reaction mixture behaves like an ideal gas, determine the composition in the reactor effluent.