Final answer:
The equilibrium concentration of SO2 is approximately 0.111 M.
Step-by-step explanation:
The equilibrium constant, K, can be calculated using the equilibrium concentrations of the reactants and products. In this case, the equilibrium concentrations of O2 and SO3 are given as 0.12 M and 0.015 M respectively, and we need to find the equilibrium concentration of SO2. By rearranging the equilibrium expression and substituting the given values, we can solve for the equilibrium concentration of SO2:
K = [SO3]^2 / ([SO2]^2[O2])
1.5 = (0.015)^2 / ([SO2]^2(0.12))
Solving for [SO2], we find that the equilibrium concentration of SO2 is approximately 0.111 M.