Air is 21% oxygen by volume. Oxygen has a density of 1.31 g/L. What is the volume, in Liters, of a room that holds enough air to contain 55 kg of oxygen?

Question

kc_kennylau · Answer

(a) How many liters is 55 kg of oxygen?
(b) How many liters of air contain that many liters of oxygen?

anonymous · Answer

Also there was the hint..
If air is 21% oxygen by volume, 1L air= 0.21L oxygen

anonymous · Answer

I think my teacher wanted me to use the conversion factor or the dimensional analysis or whatever but.. idk where to start

kc_kennylau · Answer

so 1.31g of oxygen consumes 1L of space.

kc_kennylau · Answer

how much space would 55kg of oxygen consume?

anonymous · Answer

idk...

anonymous · Answer

@Hero

anonymous · Answer

@Luigi0210

anonymous · Answer

@myininaya

wolf1728 · Answer

1/.21 = 4.7619047619
So a room that contains 55 kg of oxygen, contains 55*4.7619047619 =
261.9 kg of air.
Assuming air is same density as air (and it ISN'T) then 261.9kg of air = 261,900 grams of air = 261,900 liters of air

anonymous · Answer

You sure?

anonymous · Answer

|dw:1408605206070:dw|

anonymous · Answer

I kinda did this

wolf1728 · Answer

=55,000 / (1.31*.21)
=199927.29916394

anonymous · Answer

I mean the room will be filled with air... so finding the amount of oxygen and proportioning it to the volume of the room, interchangeably, the room, would tell me this riiight?

wolf1728 · Answer

55 kg oxygen x (1,000 g / kg) x (1 liter / 1.31 g) x  4.7619 l air / l oxygen