ANSWER
![\text{ Kc = }(\lbrack CO_2\rbrack)/(\lbrack O_2\rbrack)](https://img.qammunity.org/2023/formulas/chemistry/college/i4xwooro4z73np2urs8yl9we9lmhhphjln.png)
Step-by-step explanation
Given that
![\text{ C}_((s))\text{ + O}_(2(g))\text{ }\rightleftarrows\text{ CO}_(2(g))](https://img.qammunity.org/2023/formulas/chemistry/college/jieeivtn5k63m07whyn06oxaj3mdmjn714.png)
Follow the steps below to write the equilibrium expression for the reaction
![\begin{gathered} \text{ Kc}=\text{ }(kf)/(kb) \\ \text{ where kf is the rate of forward reaction} \\ \text{ kb is the rate of back ward reaction} \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/2on9au0z7zj1hxktva80qr2bw651wcyveu.png)
When writing equilibrium expression, we don't include substances that exist in solid state.
Hence, we have
![\begin{gathered} \text{ Kc = }\frac{\text{ kf}}{\text{ kb}} \\ \\ \text{ kf = }\lbrack\text{ CO}_2\text{ }\rbrack \\ \\ \text{ Kb = }\lbrack\text{ O}_2\text{ }\rbrack \\ \\ \text{ Hence, } \\ \text{ Kc = }\frac{\text{ }\lbrack\text{ CO}_2\text{ }\rbrack}{\lbrack O_2\rbrack} \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/7oh5yp5cvcbsaha964skb4tbuxtrvz8woo.png)
Therefore, the correct option is B