Problem $8.$ In a reactor operating at $100$kPa and $371C,$ the reaction given below occurs:

$A(g)B(g)C(g)$

The equilibrium constants for the reactions are as follows:

$B(g)C(g),K_a=0\mathrm{.}450$

$B(g)A(g),K_a=0\mathrm{.}448$

You are required to find the equilibrium gas phase compositions on the basis of $1$

mol of $A$ is fed to the reactor.