Teaching Physics with the Physics Suite Edward F. Redish Problems Sorted by Type | Problems Sorted by Subject | Problems Sorted by Chapter in UP

Carbon footprint

Some people think that it is implausible that humans can be affecting the amount of CO2 in the atmosphere because the atmosphere is so big and we are so small. The total mass of the atmosphere is very large – about 5 x 1018 kg. But CO2 is a fairly small fraction of this – about 6 x 10-4 of its mass.

According to the website on carbon footprints, the average amount of CO2 produced by a person in the US is about 20 metric tons per person per year. (One metric ton is 103 kg.) If every person in the world produced this much CO2 every year, how long would it take to increase the amount of CO2 in the atmosphere by 20%? (This is oversimplified, but gives us a reasonable idea of whether it is at all plausible that human produced CO2 can be significant.)

Be sure to clearly state your assumptions and how you came to the numbers you estimated, since grading on this problem will be mostly based on your reasoning, not on your answer.