Well, let’s take a look at lamerino’s numbers and do a BOTEC.
OK, by definition, that’s 512 cubic feet = 35.3 cubic meters (I’m going to do a lot of these calculations in metric because I’m more comfortable with that).
Now, of course, the room is not empty by definition – it contains at least lamerino, and probably some furniture, too. I will assume that 90% of the total volume is air space.
That’s probably not airtight – you’d be surprised how many small leaks there can be and how they can add up – but, since that makes the calculations easier, I’ll buy it provisionally.
I don’t have numbers for or against these statements at my fingertips, so again, I will accept them provisionally.
Eight quarts/minute is, FTR, 0.0076 cubic meter/minute.
The air in theseparts starts off at about 0.03% CO2; possibly you should look at the overall air quality of your housing. I will agree, however, that 0.47% probably doesn’t make much of an absolute difference.
Now, the room contains about 31.77 cubic meters of air (volume of room - volume taken up by other objects). Our hypothetical sleeper breathes 0.0076 cubic meter/minute of that air. A crude calculation of 31.77/.0076 gives 4180 minutes = 69.6 hours. Unless the sleeper is already comatose, there’s plenty of air in the room.
But wait, there’s more! The air starts out with a negligible carbon dioxide content (0.5%, 0.03%, whatever), whilst, after it has been used by the sleeper, it is nearly 3% CO2 (breathing is regulated by the CO2 content of air, not by the O2 content; otherwise, deaths by hypoxia would be less common). We assume that the 0.0076 cubic meter/minute figure for sleeping air consumption is for good-quality air, and, as the CO2 concentration goes up, the rate of breathing also goes up. Thus, the amount of air consumed is essentially the integral of function of decreasing air quality over time.
Now, I’m a calculus whore (I only do it for money, and then the results aren’t satisfactory to anyone). A crude calculation suggests, however, that the doubling time for CO2 concentration in bad air is about 580 minutes. Even assuming that the air starts off 0.5% CO2, our sleeper ought to have 1039 minutes = 17.32 hours before he reaches the point where he never wakes up again.
Incidentally, the original column was on whether an electric fan somehow added to or subtracted from the air something that contibuted to asphyxiation. The evidence is that that electric fan might actually extend our guinea pig’s lifespan by stirring up the “dead”, air.
“I don’t just want you to feel envy. I want you to suffer, I want you to bleed, I want you to die a little bit each day. And I want you to thank me for it.” – What “Let’s just be friends” really means