Estimating Pre-Industrial Carbon Mass in Atmosphere: GTC Calculation

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SUMMARY

The discussion focuses on estimating the total mass of carbon in the pre-industrial atmosphere, specifically with a concentration of 280 ppm CO2. Using the total mass of Earth's atmosphere at 5.4x1018 kg, the calculations involve converting ppm to kg moles and subsequently to billion metric tons (GTC). The conversion factors used include 1 GTC = 3.67 GTCO2 and the molecular mass of CO2 at 44 AMU. The final estimation yields approximately 1.16x10-4 GTC of carbon in the atmosphere.

PREREQUISITES
  • Understanding of atmospheric chemistry and carbon cycles
  • Familiarity with molecular mass calculations
  • Knowledge of ppm (parts per million) and its significance in environmental science
  • Basic proficiency in unit conversions, particularly in metric tons and kilograms
NEXT STEPS
  • Research the impact of CO2 concentrations on climate change
  • Learn about the methods for measuring atmospheric carbon levels
  • Explore the historical data on pre-industrial CO2 levels and their implications
  • Investigate the role of carbon in the Earth's atmosphere and its effects on global warming
USEFUL FOR

Environmental scientists, climate researchers, students studying atmospheric chemistry, and anyone interested in understanding pre-industrial carbon levels and their significance in climate studies.

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Homework Statement


Estimate the total mass of carbon (in billion metric tons, GTC) in the pre-industrial atmosphere with 280 ppm CO2.

Total mass of Earth's atmosphere = 5.4x10^18 kg

Homework Equations



1 GTC = 3.67 GTCO2

1 ppm = 44 AMU/ 26x10^6 AMU

The Attempt at a Solution



44 AMU/29x10^-6 AMU = 1 ppm CO2 = 1.52x10^-6

(1.52x10^-6)(280) = 4.26x10^-4

4.26x10^4 / 3.67 = 1.16x10^-4
 
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Hi Bbowers. Welcome to Physics Forums!

Based on the total mass of the Earth's atmosphere, how many kg moles air are there (assuming that the average molecular mass of air is 29)? If there are 280 kg moles of CO2 per million kg moles of air, how many kg moles of CO2 are there? If the molecular mass of CO2 is 44, how many kg of CO2 are there? How many billion kg?

Chet
 

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