Volume of ice needed to mitigate ocean warming since 1871

[awink16]

Homework Statement

Volume of ice needed to mitigate ocean warming since 1871

Relevant Equations

none

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!

 

[hutchphd]

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?

 

[hutchphd]

heat of fusion of the ice, 2.09 J/g·°C,

What? Both the units and the value are incorrect.

 

[awink16]

yea I messed up. nevermind