If Eli had a unit in any devalued paper currency for each time some fool uttered
even when they get it right,@theresphysics @JoanneNova @MJIBrown @SouBundanga @p_hannam 0.003% increase results in what, four orders of magnitude greater heating? Hunh.— Bad Alex (@BADALEX_) March 30, 2016
he would be swimming in carrots.@BADALEX_ @theresphysics @JoanneNova @MJIBrown @SouBundanga @p_hannam It is wrong. 300ppm = 0.0003 =.03% For air = 8 E 15 molecules/cc— eli rabett (@EthonRaptor) April 1, 2016
However, this being Rabett Run, Eli would like to show the bunnies a way of dealing with this.
There is a cute little number called Loschmidt, the number of molecules in a cubic meter of air at 1 atm and 0 oC, 2.686 7774(47) x 1025 molecules/m3
CO2 is now at 400 ppm, so the number of CO2 molecule in a cubic meter of air is 1.07 x 1022 CO2 molecules/m3 at the surface.
The average volume occupied by each CO2 molecule is just the inverse or ~9.30 x 10-23 m3
The spacing between CO2 molecules will be of the order of the cube root ~4.5 x 10-8 m or 0.045 microns. Anybunny who wants can model this as a sphere rather than a cube. 4/3 π: to you
The wavelength of a photon that is absorbed by a CO2 molecule in the bending vibrational band is 15 microns,
Comparing the two the wavelength of the photon is about 330 times larger than the average spacing between CO2 molecules in air.
Not every CO2 molecule is going to absorb that photon, but there are an awful lot of CO2 molecules that can.
On average a 15 micron photon at the surface will travel a couple of meters before it is absorbed,