Volume of ice needed to mitigate ocean warming since 1871

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SUMMARY

The discussion centers on calculating the thickness of ice required to absorb 436 x 1021 J of energy, which has been absorbed by Earth's oceans since 1871. The initial calculation suggested a thickness of 2.8 meters, based on the heat of fusion of ice at 2.09 J/g·°C and an ice density of 917 kg/m3. Participants pointed out errors in both the units and the values used in the calculations, indicating the need for careful verification of scientific computations.

PREREQUISITES
  • Understanding of thermodynamics, specifically the heat of fusion.
  • Knowledge of energy absorption in oceanic systems.
  • Familiarity with density calculations, particularly for ice.
  • Basic proficiency in unit conversions and scientific notation.
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  • Research the heat of fusion for various substances, focusing on ice.
  • Explore ocean heat content changes and their implications on climate change.
  • Learn about the impact of ice melting on global sea levels.
  • Investigate methods for calculating energy absorption in large bodies of water.
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Climate scientists, environmental researchers, and anyone interested in the effects of ice melting on ocean temperatures and global warming mitigation strategies.

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Homework Statement
Volume of ice needed to mitigate ocean warming since 1871
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According to following study 436 x 10^21 J of energy have been absorbed by the Earth's oceans since 1871. https://www.pnas.org/content/116/4/1126

What thickness of ice covering the globe would be needed to melt in order to absorb this amount of energy, assuming that all energy goes towards the heat of fusion and an ice density of 917 kg/(m^3)? I came up with 2.8m but I'm not sure about my calculation. That answer just seems crazy. Thanks!
 
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If the Earth were smooth the ocean (everywhere) would have a depth of ~3km. What thickness of melting ice would it take to lower the temperature of the ocean by 1deg C? (this is a one line calculation using the heat of fusion and the definition of the cal) Is your answer reasonable?
 
awink16 said:
heat of fusion of the ice, 2.09 J/g·°C,
What? Both the units and the value are incorrect.
 
yea I messed up. nevermind :rolleyes:
 
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