This problem is providing an equilirium reaction with the initial concentration of COCl2 and the equilibrium concentration of Cl2 for us to calculate the equilibrium constant. At the end, the result is 0.00166.
In chemistry, not all chemical reactions turn out into completion yet reach a point of constant concentrations (conversion) called equilibrium. In such a way, since this problem is based on this phenomenom, we can start by setting up the equilibrium expression:
[tex]Kc=\frac{[CO][Cl_2]}{[COCl_2]}[/tex]
Where each concentration is at equilibrium. Now, since all these species are in 1:1 mole ratio, we can see that the cocentration that changed up to equilibrium is 3.38×10⁻² M (Cl2's concentration), and thus we can calculate Kc with:
[tex]Kc=\frac{(3.38x10^{-2}M)(3.38x10^{-2}M)}{(0.723M-3.38x10^{-2}M)}\\\\Kc=0.00166[/tex]
Learn more about chemical equilibrium: https://brainly.com/question/26453983