Let's consider the weights and volumes in play here. It's impossible to get exact measurements from a video, so there's a lot of guesswork and
rounding going on, but bear with me. I also apologize for Imperial units!
It looks like about an 8" pot filled with dry ice to about 3". That makes about 0.09 ft3 of dry ice (assuming a solid cylinder, which it's
not, so this is high end).
Density of dry ice is about 100 lb/ft3, so this is 9 lbs of dry ice.
1 lb of dry ice turns into about 8.3 ft3 of gas, so this would create 74.7 ft3 of CO2 (assuming it all instantly
vaporized, which it doesn't, so again a high end estimate).
A "standard" small kitchen is 10ft x 10ft, and their ceiling appears to be 8ft. Let's cut that in half to a 4ft height since we're concerned about
children, so that's 400 ft3 of volume (assuming the kitchen is a completely enclosed space, which it clearly isn't since it's open to other
rooms, making this again a worst-case scenario).
Now let's look at two extremes, since we don't really know the extent and rate of mixing of these gases:
Zero Mixing: Assuming the CO2 completely displaces the air with zero mixing, it would only fill the 10x10 kitchen up to 0.75ft with
pure CO2, well below kid level unless they're laying on the floor.
Perfect Mixing: Assuming it mixes perfectly with that 400 ft3 volume. Normal air is 0.04% CO2, which is 0.16
ft3 of gas. Adding that to the 74.7 ft3 of vaporized dry ice, and dividing by the 400 ft3 room volume we arrive at
18.7% carbon dioxide content.
Reality: Somewhere in between these. There will be a concentration gradient, highest at the floor and decreasing with height. It certainly
won't be 100% CO2 at the floor, as zero mixing would suggest.
But is this number meaningless? Did I waste my time here? Perhaps! I certainly overestimated the amount of dry ice, and vastly underestimated the room
size. You'd also need to consider the amount of time it takes to vaporize that quantity of ice, and the time for onset of symptoms to occur (the
concentration wouldn't instantly become lethal as my analysis might suggest, and people wouldn't instantly pass out). Luckily, your body also warns
you about CO2 exposure so you'd have some indication that you should leave the area at least. So it's likely the danger is much less severe
than it appears from the math.
Is there danger? Certainly. According to this site, 40,000 ppm (or 4%) is "immediately harmful due to oxygen deprivation." It also says that 5,000 ppm (0.5%) is the PEL for daily
workplace exposures.
I agree they should point out the dangers of easily-repeatable demonstrations like this more clearly. They should have done the big one outside, at
least. But it may not be as bad as it seems.
Finally, do I have a point? Not really. I just think it's fun to do ballpark calculations like these. I guess the takeaway here is that the answer to
the question "Is this dangerous?" is a solid "Maybe" |