A single word antonym of "absorb"

In textbooks, they say "absorb" heat and "give off" heat.

Is there a single word which can perfectly take the place of "give off"?

Emit and radiate are both good candidates,

Emit (v): to throw or give off or out (as light or heat)

Radiate (v): to send out in or as if in rays

while emanate could be used to describe what the heat itself is doing (although it is sometimes used incorrectly to mean emit.

Emanate (v): to come out from a source - a sweet scent emanating from the blossoms

So while emit and radiate mean "give off", emanate means "be given off". A car engine would emit heat, but heat would emanate from the car engine.

Interesting to note: radiate can be used either transitively or intransitively, and can mean either emit or emanaate. What a flexible word!

As FumbleFingers points out:

radiate heat is even more common than emit heat. But I think that's because to some extent the word radiate actually means to emit electromagnetic radiation (which for most purposes means energy, or heat).

Physicists say "radiate" in reference to heat given off as thermal radiation (i.e. infrared heat like those heat lamps you see keeping food warm). They also use "convect" and "conduct", but these do not give the sense of direction that "radiate" or "give off" do.

"Emit" comes to mind. I also like "shed".

I quite like "exude" if the sense is appropriate (i.e. a gradual release).

In the context you give, I think "release" is the right word. An example is: "Determine the amount of heat released when one kilogram of steam condenses." To me, heat emission implies radiation.