The Blues with a 2-0 lead into the break as it took time for the game to come to life, but Mount’s free-kick provided a spark.
He curled his effort beyond Patricio with pinpoint accuracy to break the deadlock.
He then turned provider for Giroud, who rounded Patricio before scoring on the slide.
The Blues are over the line in their bid to secure Champions League football, they finish fourth in the table as a result of Manchester United’s win over Leicester City.
Wolves were not at their best today and finish in seventh place, although they will now turn their attention to the Europa League to have another shot at securing European football next term.