The uncatalyzed forward reaction has an activation energy of 75kJ⋅mol−1 and the uncatalyzed reverse reaction has an activation energy of 85kJ⋅mol−1. A catalyst lowers the activation energy of both directions by 30kJ⋅mol−1. Determine the activation energies for the catalyzed forward and reverse reactions and state how, if at all, the equilibrium constant K changes at the same temperature.