Answer:
The number of moles of Cl₂ present at equilibrium is 3.94x10⁻⁴ moles.
Explanation:
The reaction is:
CO(g) + Cl₂(g) ⇄ COCl₂(g)
The equilibrium constant of the above reaction is:
K = 1.2x10³
To find the moles of Cl₂ present at equilibrium, let's evaluate the reverse reaction:
COCl₂(g) ⇄ CO(g) + Cl₂(g)
The equilibrium constant for the reverse reaction is:

Now, we need to calculate the concentration of CO and COCl₂:


Now, from the reaction we have:
COCl₂(g) ⇄ CO(g) + Cl₂(g)
0.018 - x 0.115+x x
The concentration of Cl₂ is:
![K_{r} = \frac{[CO][Cl_{2}]}{[COCl_{2}]}](https://tex.z-dn.net/?f=%20K_%7Br%7D%20%3D%20%5Cfrac%7B%5BCO%5D%5BCl_%7B2%7D%5D%7D%7B%5BCOCl_%7B2%7D%5D%7D%20)
By solving the above equation for x we have:
x = 1.29x10⁻⁴ M = [Cl₂]
Finally, the number of moles of Cl₂ present at equilibrium is:

Therefore, the number of moles of Cl₂ present at equilibrium is 3.94x10⁻⁴ moles.
I hope it helps you!