A sealed container was filled with $0\mathrm{.}3$ mol H$2($g$),0\mathrm{.}4$ mol I$2($g$),$ and $0\mathrm{.}2$ mol HI$($g$)$ at $870$ K and total

pressure $1$ bar. Equilibrium constant $($K$870$ K$)$ is $870$ for the reaction given below.

$$g $$g $$g $$ H I $2$HI $22$

a$)$ Calculate the reaction coordinate and amounts of the components in the mixture at equilibrium.

b$)$ Calculate the change in the equilibrium constant of the reaction when the total pressure is

increased from $1$ bar to $2$ bar at constant temperature.