cleansing vs purging

cleansing and purging both are nouns.

Word	Noun	Adjective	Verb	Adverb
cleansing	Yes	Yes	No	No
purging	Yes	Yes	No	No

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

cleansing: the act of making something clean
purging: an act of removing by cleansing; ridding of sediment or other undesired elements

cleansing (noun)	purging (noun)
the act of making something clean	an act of removing by cleansing; ridding of sediment or other undesired elements
	the act of clearing yourself (or another) from some stigma or charge

cleansing (adjective)	purging (adjective)
acting like an antiseptic	serving to purge or rid of sin
cleansing the body by washing; especially ritual washing of e.g. hands