Naked Science Forum
Non Life Sciences => Physics, Astronomy & Cosmology => Topic started by: Fiona on 19/04/2011 11:30:02
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Fiona asked the Naked Scientists:
Hi Chris, really love your site (http://www.thenakedscientists.com/HTML/podcasts/). Need some help with a coefficient for:
Â
In water (ie a lake), how much O2 is needed to lift 1 Kg of Mass?
Â
Thanks for your assistance.
Best Regards
Fiona
What do you think?
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If by "O2" you mean air, it's mostly N2 ...
(https://www.thenakedscientists.com/forum/proxy.php?request=http%3A%2F%2Fupload.wikimedia.org%2Fwikipedia%2Fcommons%2F7%2F7a%2FAtmosphere_gas_proportions.svg&hash=26448152ef904527fcc7c711805a6731)
http://en.wikipedia.org/wiki/Air#Composition
Further reading ...
http://en.wikipedia.org/wiki/Air#Density_and_mass
http://en.wikipedia.org/wiki/Boyancy
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To float, the 1 kg mass plus the mass of O₂must displace an equal or greater mass of water. So the mass of O₂depends on the density and depth of the water and the density of the 1 kg mass. If you have a balloon full of O₂which is just big enough to make the 1 kg mass float at the surface, and you then pull it below the surface, the balloon will shrink as the pressure increases. Below a certain depth, it will sink.
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You need no O2 to make 1 kg of ice float. :)
(Which is due to it's density being lower than water, as others have pointed out.)
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I don't think we have enough information to answer the question. As Phrac points out, the lift is a function of the depth, so, if you want to lift something from the bottom of the lake, you'll need to know how deep the lake is.