Consider the decomposition of methane into carbon at $1075\backslash$deg C and $10$ bar.

CH$4($g$)->$ C$($s$)+2$H$2($g$)$

Estimate:

a$)$ The equilibrium constant K at this temperature.

b$)$ The gas phase composition if the system starts with pure methane.

c$)$ The gas phase composition if the system starts with equimolar CH$4$ and N$2.$ Why is this

result significant?