Final answer:
Dilution of a buffer and the addition of equal moles of buffer components do not alter the pH, while adding strong acids or bases does. Therefore, the correct option is C. I and IV.
Step-by-step explanation:
The ability of a buffer to maintain its pH upon dilution or the addition of small amounts of acid or base lies in the equilibrium between the weak acid and its conjugate base. When a buffer is diluted, the ratio of the weak acid to its conjugate base does not change, so the pH remains constant. Thus, diluting the mixture (option I) will not change the pH. Adding a strong acid (option II) will shift the equilibrium, as the excess H+ ions will react with the conjugate base (CH3COO-) of the buffer, making more of the weak acid (CH3COOH) and reducing the pH.
Likewise, adding a strong base (option III) will consume the H+ ions released by the weak acid in the buffer, forming water and the conjugate base (CH3COO-), which would slightly increase the pH. However, if equal moles of CH3COONa (the salt/conjugate base) and CH3COOH (the weak acid) are added, the ratio of these buffer components remains the same, which means no significant pH change (option IV). Therefore, operations I and IV will not change the pH, while operations II and III will. The correct option is C. I and IV.