Originally Posted by
InkUnderNails
I trust that you are the expert and I do not want to waste your time so some 6th grade y/n questions to satisfy my curiosity.
Does room temperature H2O2 have a relatively low volatility so it gives off almost no free molecules as vapor?
Correct, H2O2 has a high boiling point, so almost no molecules will vaporize (certainly not enough to be detected by a low sensitivity method such as a test strip). Even close to the boiling point of H2O2 (150 oC), because of its instability, most of it will decompose into water and O2, and not form vapors. You can only vaporize H2O2 effectively with special equipment, which is used to sterilize environments (and makes them unihabitable for humans during the process).
Originally Posted by
InkUnderNails
If it does give off molecules as vapors, are the vapors heavier than air and thus would stay in the container or fall to the ground?
OK, that was definately 6th grade!

No. Being in vapor form means they fly around. There is plenty of O2 floating around in the air, and the difference in mass between O2 and H2O2 is very small. But the reality is that the amount of H2O2 in gas form will be very small at any given time, due to the low ability of this molecule to vaporize.