The equilibrium constant (Kc) for the reaction is given by:
Kc = [C]²/([A]²[B])
Substituting the given values, we get:
Kc = (0.12)²/((0.72)²(0.32))
Kc = 0.00256/0.165888
Kc = 0.015444
Therefore, the equilibrium constant for the reaction at 500 K is 0.015444.