The following equilibrium is established at 1100 K in a closed V L flask:
\[
C(s)+CO_{2}(g)\rightleftharpoons2CO(g)
\]
The pressure of equilibrium mixture is 1 atm. Among the gaseous compounds, CO has 84% by mass. $K_c$ of this reaction is (approximately) ($R=0.082~L~atm~mol^{-1}K^{-1}$). Assume that CO and $CO_2$ are ideal gases.