You Do Need power plug adapter while traveling from South Korea to Vatican City.

Here is Why You Need An Adapter

The outlet and plug type used in Vatican City are C, F and L and in South Korea is F. This is how they look like.

South Korea

In South Korea, outlets of type F are in use.

Type F

Vatican City

In Vatican City, outlets of type C, F and L are in use.

Type C

Type F

Type L