The incorrect statement is: An appropriate unit of capacity for a vase is grams.
Since the vase is acting as a container, its appropriate unit of capacity should be a volume not a mass. Gram is a unit of mass not a unit volume. Mass is the amount of matter an object has, while volume is how much space the object occupies. Since the capacity of a container is how much volume it can hold, we can conclude that grams is not an appropriate unit of capacity for a vase.