To assess the validity of the provided statements, each must be evaluated against the established principles of catalysis and chemical equilibrium.
Conclusion: Based on the preceding analysis, both Statement I and Statement II are deemed true concerning the function of catalysts in chemical reactions. The correct conclusion is "Both Statement I and Statement II are true".
At a given temperature and pressure, the equilibrium constant values for the equilibria are given below:
$ 3A_2 + B_2 \rightleftharpoons 2A_3B, \, K_1 $
$ A_3B \rightleftharpoons \frac{3}{2}A_2 + \frac{1}{2}B_2, \, K_2 $
The relation between $ K_1 $ and $ K_2 $ is: