Ozone and CO2

Published: 2018-07-25; Last edited: 2018-10-10

Is was curious about the amount of CO2 that gets emitted by humans and how it scales in comparison to the, at first sight unbelievable small, ozone layer of the earth (Dobsen unit). So here come some small calculations:

The surface of the earth is roughly 510 075 000 km². According to this Wikipedia page the anthropogenic emission of CO2 (equivalent) is around 33.5 Gt a year. The density of CO2 is around 1.977 kg/m³.

m˙CO2ρCO2AEarth=33.51012 kg/a1.977 kg/m3510075000106 m2=0.033 m/a=3.3 cm/a\frac{\dot{m}{CO{2}}}{\rho_{CO_{2}}A_{Earth}}=\frac{33.510^{12}~\mathrm{kg/a}}{1.977~\mathrm{kg/m^3}51007500010^{6}~\mathrm{m^2}}=0.033~\mathrm{m/a}=3.3~\mathrm{cm/a}

That means every year we dump 3.3 cm of CO2 (equivalent) onto the earths surface. The absolute level of CO2 (pure) in the atmosphere is around 440 ppm or 3200 Gt. That means, with the calculation above, 3.17 m!

mCO2ρCO2AEarth=32001012 kg1.977 kg/m3510075000106 m2=3.17 m\frac{m_{CO_{2}}}{\rho_{CO_{2}}A_{Earth}}=\frac{320010^{12}~\mathrm{kg}}{1.977~\mathrm{kg/m^3}51007500010^{6}~\mathrm{m^2}}=3.17~\mathrm{m}

The same idea can be applied to plastics dumped into the oceans, see this link, and probably other stuff.

As a starting point for researching information about climate change this link seems to be a good resource!