How does a firearm silencer silence the firearm?

Answer:
Generally speaking, it has baffles inside that trap the gases. See the associated link for diagrams.

ADDING: Oh, and silencers are not really "silent" either. Most of them make a powerful gun sound like a cap pistol. Some of them make a handgun or .22 sound like a CO2 powered pellet gun. I own a silencer and I have personally shot several others and witnessed several others on various kinds of guns being used right next to me at shooting ranges.
First answer by Robbiev. Last edit by Law guy atlanta. Contributor trust: 10 [recommend contributor recommended]. Question popularity: 2 [recommend question].