Cracking propane is a route to light olefin production. Suppose that two cracking reactions occur in a steady$-$flow reactor:

$C_3{H}_8(g)C_3{H}_6(g)+H_2(g)$

$C_3{H}_8(g)C_2{H}_4(g)+C{H}_4(g)$

Calculate the product composition if both reactions go to equilibrium at $\frac{1\mathrm{.}2}{b}ar$ and $1000K.$