You seem to be assuming that the volume is immediately replaced by the external atmosphere, which I doubt is valid, more likely that the volume of the person would decrease, at least temporarily. The weight of 1 Liter (assuming a massive fart) of air is 1.275g according to wolfram, so, using your density numbers above, 1.275 * 1.06/1.2 = 1.126g lighter. Measurable with a really good scale, if the 90ml fart volume is realistic (has to be more realistic I guess), that’s ~.1g,
Think of yourself as a hot air balloon with a very tiny chamber, and when you release a 90 milliliter fart, you lose a little buoyancy and sink a little. You get heavier when you fart.
You seem to be assuming that the volume is immediately replaced by the external atmosphere, which I doubt is valid
No, I was assuming your volume decreases. I don’t actually know that to be the case, but my assumption is that there isn’t “extra” space inside a person, and so if you lose material from a part of your body that isn’t encased in anything rigid your volume decreases slightly.
So maybe I did have my terminology wrong. When a hot air balloon deflates, it falls. The density went up, but that’s not what’s directly relevant. The weight went down, I guess, but the “number on the scale”, weight minus buoyant force, went way way up, because it lost some lower-density volume that was making the whole thing float. The weight (in a strict physics sense) went down, sure. But the number on the scale (which I was incorrectly calling “weight”) went up. Same thing for a farting person.
You seem to be assuming that the volume is immediately replaced by the external atmosphere, which I doubt is valid, more likely that the volume of the person would decrease, at least temporarily. The weight of 1 Liter (assuming a massive fart) of air is 1.275g according to wolfram, so, using your density numbers above, 1.275 * 1.06/1.2 = 1.126g lighter. Measurable with a really good scale, if the 90ml fart volume is realistic (has to be more realistic I guess), that’s ~.1g,
No, you get denser, but not heavier.
No, I was assuming your volume decreases. I don’t actually know that to be the case, but my assumption is that there isn’t “extra” space inside a person, and so if you lose material from a part of your body that isn’t encased in anything rigid your volume decreases slightly.
So maybe I did have my terminology wrong. When a hot air balloon deflates, it falls. The density went up, but that’s not what’s directly relevant. The weight went down, I guess, but the “number on the scale”, weight minus buoyant force, went way way up, because it lost some lower-density volume that was making the whole thing float. The weight (in a strict physics sense) went down, sure. But the number on the scale (which I was incorrectly calling “weight”) went up. Same thing for a farting person.
I feel like like I get denser everyday no matter I do.