What is the mechanism of the given synthesis?

Suggest a plausible mechanism for the base-catalyzed ring-opening of benzene oxide. In your mechanism, use Nu^- as a generic nucleophile.

Propose the mechanism for the acid-catalyzed ring opening of epoxide given below.

The product in the ring opening of the epoxide depends on whether it happened under acidic or basic conditions. For the reaction below, the epoxide opens in the same way under either condition; explain why.

Propose a mechanism for the following reaction. [Hint: The formation of the carbocation will trigger a cyclization.]

Determine which of the given reactions below would be the fastest.