Volume of ice needed to mitigate ocean warming since 1871

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The discussion centers on the energy absorbed by Earth's oceans since 1871, quantified at 436 x 10^21 J. A calculation was proposed to determine the thickness of ice needed to absorb this energy, initially estimated at 2.8 meters, which sparked skepticism about its accuracy. Participants noted the need for correct units and values in the calculations, particularly regarding the heat of fusion of ice. The conversation highlights the complexity of calculating the effects of ice melting on ocean temperatures. Overall, the inquiry reflects the challenges in understanding the relationship between ice volume and ocean warming.
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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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