Answer : The value of equilibrium constant (Kc) is, 0.0154
Explanation :
The given chemical reaction is:

Initial conc.
0 0
At eqm.
x x
As we are given:
Concentration of
at equilibrium =

That means,

The expression for equilibrium constant is:
![K_c=([SO_2][Cl_2])/([SO_2Cl_2])](https://img.qammunity.org/2021/formulas/chemistry/college/e6s13xlbdv8rj713fnz098jkqkgmsjbkmy.png)
Now put all the given values in this expression, we get:



Thus, the value of equilibrium constant (Kc) is, 0.0154