Methane and CO2 atmospheric lifetime math problem

In summary, the conversation discusses the difference in the effectiveness of methane and CO2 as infrared absorbers on a per-molecule and per-unit-mass basis. When comparing these two greenhouse gases, it is found that methane has a significantly higher absorption rating per molecule, but when considering mass, CO2 has a higher absorption rating. This discrepancy is due to the shorter atmospheric lifetime of methane compared to CO2.
  • #1
courtneywetts
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0

Homework Statement



On a per-molecule basis, methane is 26 times more effective as an infrared absorber than is CO2. Calculate the corresponding ratio on a per-unit-mass basis, and compare it with the 20-year GWP for methane. What's the reason for any discrepncy you find?
(CO2 atmospheric lifetime = 1000 years, GWP relative to CO2 is 1 in 20 years)
(Methane atmospheric lifetime = 11 years, global warming potential relative to CO2 in 20 years is 23)

Homework Equations





The Attempt at a Solution



I am not sure how to start this problem. I think I need to make a ratio between methane and CO2 but am not sure if that is right or how to do so.
 
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  • #2
It gives you the ratio between their effectiveness per molecule. How to change this ratio considering the effectiveness per mass instead of molecule?
 
  • #3
Suppose 1 molecule of CO2 has absorption rating X.
Complete the following:
1 molecule of methane has absorption rating ...
1 molecule of methane has mass ... atomic units
1 molecule of CO2 has mass ... atomic units
... atomic units of CO2 has absorption rating X
1 atomic unit of CO2 has absorption rating ...
1 atomic unit of methane has absorption rating ...
 

Related to Methane and CO2 atmospheric lifetime math problem

1. What is the significance of the atmospheric lifetime of methane and CO2?

The atmospheric lifetime of methane and CO2 is important because it determines how long these greenhouse gases will remain in the atmosphere and contribute to global warming. A longer atmospheric lifetime means a greater potential for these gases to trap heat and contribute to climate change.

2. How is the atmospheric lifetime of methane and CO2 calculated?

The atmospheric lifetime of methane and CO2 is calculated using mathematical models that take into account factors such as the rate of emissions, the rate of removal from the atmosphere, and the chemical reactions that occur. These models are constantly being refined and updated as new data and research becomes available.

3. Can the atmospheric lifetime of methane and CO2 be changed or controlled?

The atmospheric lifetime of methane and CO2 is largely determined by natural processes, such as chemical reactions and the uptake of carbon by plants. However, human activities such as reducing emissions and implementing carbon capture and storage technologies can help to lower the atmospheric lifetime of these gases.

4. What are the current estimates for the atmospheric lifetime of methane and CO2?

The estimated atmospheric lifetime of methane is around 12 years, while the estimated atmospheric lifetime of CO2 is much longer at around 100 years. However, these estimates can vary depending on the specific model and data used.

5. How does the atmospheric lifetime of methane and CO2 compare to other greenhouse gases?

The atmospheric lifetime of methane and CO2 is relatively short compared to other greenhouse gases, such as nitrous oxide and fluorinated gases, which can have lifetimes in the hundreds or even thousands of years. This makes reducing emissions of methane and CO2 even more crucial in mitigating the effects of climate change.

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