life vs alacrity

life and alacrity both are nouns.

Word	Noun	Adjective	Verb	Adverb
life	Yes	No	No	No
alacrity	Yes	No	No	No

As nouns, alacrity is a hyponym of life; that is, alacrity is a word with a more specific, narrower meaning than life:

life (noun)	alacrity (noun)
living things collectively	liveliness and eagerness
animation and energy in action or expression
the experience of being alive; the course of human events and activities
an account of the series of events making up a person's life
a motive for living
a living person
the organic phenomenon that distinguishes living organisms from nonliving ones
the condition of living or the state of being alive
a characteristic state or mode of living
the course of existence of an individual; the actions and events that occur in living
the period during which something is functional (as between birth and death)
the period between birth and the present time
the period from the present until death
a prison term lasting as long as the prisoner lives