how many years will it take for the atmospheric CO2 concentration to increase by 100ppm?

Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
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The current global atmospheric CO2 concentration is around 418 ppm. Following the Kaya identity, assume global population increases by 1.14% per year, per capita GDP (GDP/person) increases by 1.5% per year, energy consumption per GDP (primary energy/GDP) decreases by 0.8% per year, the carbon intensity (C/primary energy) decreases by 0.3% per year, and 50% of all carbon emissions end up in the atmospheric (as opposed to in the ocean, stored in soil and trees, etc.). If the initial emission rate is 6 GtC/yr and the initial atmospheric carbon content is 886GtC, how many years will it take for the atmospheric CO2 concentration to increase by 100ppm? The conversion factor between GtC and ppm is 2.12 GtC/ppm CO2.
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