Answer: The
for the reaction is
![K_(eq)=([SO_3]^2)/([SO_2]^2[O_2])](https://img.qammunity.org/2019/formulas/chemistry/high-school/51mjwyguezztv3fc8fxxyocwy5ruz9tfsg.png)
Step-by-step explanation:
Equilibrium constant is defined as the ratio of concentration of products to the concentration of reactants each raised to the power their stoichiometric coefficients. It is represented by

For a general chemical reaction:

The
is written as:
![K_(eq)=([C]^c[D]^d)/([A]^a[B]^b)](https://img.qammunity.org/2019/formulas/chemistry/college/8i6z9kdl5sbqqw6gt2ligbic9v48km7t6n.png)
For the given chemical reaction:

The
is represented as:
![K_(eq)=([SO_3]^2)/([SO_2]^2[O_2])](https://img.qammunity.org/2019/formulas/chemistry/high-school/51mjwyguezztv3fc8fxxyocwy5ruz9tfsg.png)
Hence, the equilibrium constant for the reaction is given above.