Draw a reaction profile (diagram of energy vs reaction coordinate) for a hypothetical reaction AB + C <--> A + BC in which the forward reaction has an activation energy of 100kJ/mol and the backward reaction has an activation energy of 75kJ/mol. A catalyst introduces an extra step into the reaction and reduces Ea for the first step to 50kJ/mol. Indicate the effect of this catalyst on your diagram. How would you expect the equilibrium constant for this reaction to vary with temperature?