"24" and the Thermostat..

In 24, episode 5 or 6 (after the bomb has gone off at CTU…) Jack is interogating Nina and asks for the thermostat to be turned up.
My friend believes it is absurd for the air conditioning to still be working after the bomb has gone off; too many holes in the ducts (plastic melts…), walls have fallen down, lots of damage etc…

I say, that if the Counter Terrorist Unit of LA can still function on a day with a nuclear bomb threat after behind hit by a terrorist attack itself, then it cant be in such a bad state that the air wont work…

any help?