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What mass of carbon is needed to increase average CO2 by 170 ppm?

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Taking the mass of the atmosphere to be 4.3E15 metric tons, what mass of carbon must be burned in order to increase the average carbon dioxide level in the atmosphere by 170ppm by volume (in metric tons)?

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Lets look at the atmospheric mass increase at 1 atm and 20 C as I have the density of dry air at 20 C and 1 atm.

170 ppm is 170 L in 1,000,000 Liters of air. For ppm by volume, using the ideal gas relation, the number of moles of CO2 increase is then n = PV/RT.

P= 1 atm, ...

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