Answer:
![K_c=0.0587M](https://img.qammunity.org/2020/formulas/chemistry/college/c9st9qx8nwawjmwkpzlwktih3ansqv2jqy.png)
Explanation: The given chemical reaction is:
![2NOBr(g)\rightleftharpoons 2NO(g)+Br_2(g)](https://img.qammunity.org/2020/formulas/chemistry/college/3bpcjxfel0s4emotxai96igvgn9500ao0q.png)
Equilibrium constant (Kc) in general is written as:
![K_c=([products])/([reactants])](https://img.qammunity.org/2020/formulas/chemistry/college/vw72w9tfn7zwox7bu3r0clwjokaxfr9qca.png)
Note:- Coefficients are written as their powers
So, the Kc expression for the above reaction will be:
![K_c=([NO]^2[Br_2])/([NOBr]^2)](https://img.qammunity.org/2020/formulas/chemistry/college/k4096gwdp3fzrtbueuvcfhq64iqldvh8kd.png)
Equilibrium moles are given for all of them. Let's divide the moles by given liters to get the concentrations.
= 0.040 M
= 0.0658 M
= 0.0217 M
Plug in the values in the equilibrium expression to calculate Kc.
![K_c=((0.0658M)^2(0.0217M))/((0.040M)^2)](https://img.qammunity.org/2020/formulas/chemistry/college/1fc1tm12humn0s7sjwtu3fr10isrhpm91c.png)
![K_c=0.0587M](https://img.qammunity.org/2020/formulas/chemistry/college/c9st9qx8nwawjmwkpzlwktih3ansqv2jqy.png)