# Volume of ice needed to mitigate ocean warming since 1871

• awink16
In summary, the Earth's oceans have absorbed 436 x 10^21 J of energy since 1871. To melt this amount of energy, assuming all energy goes towards the heat of fusion and an ice density of 917 kg/(m^3), it would require a thickness of 2.8m of ice covering the globe. This may seem unreasonable, considering that the Earth's oceans have an average depth of 3km. Additionally, in order to lower the temperature of the ocean by 1°C, it would take a one line calculation using the heat of fusion and the definition of a calorie. However, the previous calculation may not be accurate as the value and units used were incorrect.
awink16
Homework Statement
Volume of ice needed to mitigate ocean warming since 1871
Relevant Equations
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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!

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

hutchphd

## 1. How much ice is needed to mitigate ocean warming since 1871?

The exact volume of ice needed to mitigate ocean warming since 1871 is difficult to determine as it depends on various factors such as the rate of warming, the location of the ice, and the effectiveness of mitigation efforts. However, studies suggest that a significant increase in the volume of ice is necessary to effectively mitigate ocean warming.

## 2. What is the current state of ice in the oceans?

Currently, the state of ice in the oceans is concerning. The Arctic sea ice has been declining at a rapid rate, and the Antarctic ice sheet is also losing mass. This reduction in ice volume contributes to ocean warming and its effects on marine ecosystems and global climate patterns.

## 3. How does melting ice affect the ocean's temperature?

Melting ice has a significant impact on the ocean's temperature. As ice melts, it absorbs heat from the surrounding water, causing the ocean's temperature to increase. This increase in temperature can disrupt marine ecosystems and contribute to rising sea levels.

## 4. Are there any potential solutions for mitigating ocean warming through ice?

Yes, there are potential solutions for mitigating ocean warming through ice. These include reducing greenhouse gas emissions, implementing geoengineering techniques such as artificial ice formation, and increasing the reflectivity of glaciers and ice sheets through the use of light-colored materials.

## 5. How can we accurately measure the volume of ice needed to mitigate ocean warming?

Accurately measuring the volume of ice needed to mitigate ocean warming is a complex task that requires sophisticated technology and data analysis. Scientists use satellite imagery, remote sensing techniques, and computer models to monitor and estimate the volume of ice in the oceans. These methods help provide valuable insights into the state of ice and inform mitigation efforts.

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