Final answer:
The reaction is at equilibrium because the given equilibrium constant (K) is equal to the calculated equilibrium constant.
Step-by-step explanation:
In order to determine if the reaction is at equilibrium, we need to compare the given concentrations of the reactants and products with the equilibrium constant (K). The equilibrium constant expression for the reaction is K = [H2][I2]/[HI]^2.
Substituting the given values into the equation, we get: K = (0.200 M)(0.200 M)/(0.200 M)^2 = 0.200.
Since the equilibrium constant (K) is equal to the given value, the reaction is at equilibrium.