<u>Answer:</u> The equilibrium concentration of sulfur dioxide, nitrogen dioxide, sulfur trioxide, nitrogen monoxide is 0.196 M, 0.196 M, 0.309 M and 0.309 M respectively.
<u>Explanation:</u>
We are given:
Initial concentration of sulfur dioxide = 0.500 M
Initial concentration of nitrogen dioxide = 0.500 M
Initial concentration of sulfur trioxide = 0.00500 M
Initial concentration of nitrogen monoxide = 0.00500 M
The chemical reaction follows:

<u>Initial:</u> 0.500 0.500 0.005 0.005
<u>At eqllm:</u> 0.500-x 0.500-x 0.005+x 0.005+x
The expression of equilibrium constant for the above reaction follows:
![K_c=\frac{[SO_3][NO]}{[SO_2][NO_2]}](https://tex.z-dn.net/?f=K_c%3D%5Cfrac%7B%5BSO_3%5D%5BNO%5D%7D%7B%5BSO_2%5D%5BNO_2%5D%7D)
We are given:

Putting values in above equation, we get:

Neglecting the value of x = 1.37, because change cannot be greater than the initial concentration
So, equilibrium concentration of sulfur dioxide = 
Equilibrium concentration of nitrogen dioxide = 
Equilibrium concentration of sulfur trioxide = 
Equilibrium concentration of nitrogen monoxide = 
Hence, the equilibrium concentration of sulfur dioxide, nitrogen dioxide, sulfur trioxide, nitrogen monoxide is 0.196 M, 0.196 M, 0.309 M and 0.309 M respectively.