I need some help in trying to calculate the percentage of oxygen existing in
a closed room. This is partly just for my interest, but there is a
practical side to my question also.
I live in a recently built house that is one of these "super-insulated"
structures with little outside air exchange except what is forced via fans.
During the winter months I live primarily in a couple of rooms closed off
from the main house to save on heating bills.
I have equipment that very accurately measures the carbon dioxide level in
real time, that is located in my main living area. I live at 3000 feet
elevation, and the house is all electric; no oxygen consuming heating, not
even a wood buring stove. I don't have any way of directly measuring o2 in
the house.
The measured co2 in my living area ranges from approximately 500 ppm to over
2000 ppm. The higher concentrations generally occur during the winter
months when I am spending more of my time indoors, and am preserving the
heat by running the forced air intake fans less. (This will be changing in
the future, as I will be forcing air from a solar heated porch into the
house during some winter daylight hours)
My question is, from knowing the co2 concentration (and humidity percent
also) in a closed space, how can I calculate the oxygen concentration? I
know that the o2 conentration of normal dry air is around 20.95 percent, but
suspect that the relationship is not perfectly direct between the increase
in co2 and the decrease of 02.
Any help on this math problem would be appreciated.
Thanks
Jim
Jeff - 07 Jul 2007 19:21 GMT
> I need some help in trying to calculate the percentage of oxygen existing in
> a closed room. This is partly just for my interest, but there is a
[quoted text clipped - 28 lines]
> Thanks
> Jim
2000 ppm (parts per million) is 0.2%. The CO2 comes from carbohydrates,
amino acids and fats being oxidized (burned) by your cells. So the
normal air concentration of oxygen in the air is 20.9%. If 0.2% of the
O2 gets reduced to CO2, then the O2 concentration would be 20.7%. (I am
ignoring the CO2 concentration in the atmosphere, which is around 0.04%
or 400 ppm).
The numbers are an oversimplification, but, in real life, they aren't
far off.
In other words, it doesn't change that much. And there is some O2
leaking in and CO2 leaking out through little gaps in the walls, under
the doors, etc. No house is 100% airtight.
Jeff
TheGuffster - 08 Jul 2007 02:15 GMT
> I need some help in trying to calculate the percentage of oxygen existing in
> a closed room. This is partly just for my interest, but there is a
[quoted text clipped - 28 lines]
> Thanks
> Jim
What you want is Dalton's law.
http://en.wikipedia.org/wiki/Dalton's_law
The total pressure of a gas is the sum of all its component gases
pressures.
(These are numbers I just made up, you would insert the % numbers you
have)
If you use a barometer and get the pressure (let's say 760
mmHg)=(PATM)
Lets say the CO2 is .03%=(PCO2)
the H20 is 4%=(PH2O)
assume that the N2 is 78%=(PN2)
(there would be other gasses involved which would just be inserted
into the equation)
PO2 is the unknown
PATM = 760 mmHg = 100%
So
PATM = PCO2 + PH2O+PN2+PO2
which is the same as the equation below
100% = .03%+ 4% + 78% + PO2
To solve for PO2 change the equation a little
100 - (.03 + 4 + 78) = PO2 or 17.97
PO2 = 17.97%
That is an extremely simplified way to do it, but that is how it is
done.