A few days ago
Angel 77

Math Help!!! College Level?

A sealed room in a hospital, measuring 5m wide, 10m long, and 3m high, is filled with pure oxygen. One cubic meter contains 1000L, and 22.4L of any gas contains 6.02 x 10^23 molecules. How many molecules of oxygen are there in the room?

I know the answer is 28 mi/h because it’s in the back of the book but I’d like help in knowing how to do the problem for next time, so if you could please explain the steps you take to get to the answer I’d appreciate it!

Top 3 Answers
A few days ago
Mika

Favorite Answer

Volume of Room

= 5 X 10 X 3 m ^3

= 150 m^3

One cubic meter contains 1000L

so 150 cubic meters will contain

= 50 X 1000L

= 50000 L

22.4L of any gas contains 6.02 x 10^23 molecules

1 L of any gas will contain

= 6.02 x 10^23 molecules/22.4

= 0.26875 x 10^23 molecules

& 50000 L of any gas will contain

= 50000 x 0.26875 x 10^23 molecules

= 13437.5 x x 10^23 molecules

28 mi/h = miles /hour????

How did you come up with that?

Maybe you looked up the wrong answer

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A few days ago
wayner122
First, find out the volume of the room:

V = l * w * h = (10m)(5m)(3m) = 150m^3

Next, multiply that by 1000L/m^3. This will let you know how many liters of oxygen are in the room. So there are 150000L in the room. Now, they tell you that for every 22.4L there are 6.02 x 10^23 molecules. So you have to multiply150000L by (6.02 x 10^23)/(22.4L) and that will tell you how many molecules: 150000L(6.02×10^23)/22.4L = 40312.5 x 10^23 molecules.

The person above me is wrong because they found the volume to be 150 but a few lines latter plugged in 50 instead

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A few days ago
Anonymous
5m x 10m x 3m x 1000 L

____________________ x 6.02 x 10^23 = 4.031 x 10^27

22.4 L

28 miles per hour is a value of speed, this can’t be the answer to THIS problem

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