Temperature need to melt this ice in 400 years

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Homework Help Overview

The original poster attempts to determine the temperature required to melt a large volume of ice at -30°C over a period of 400 years. The ice covers an area of 34 million km² and has a height of 11.4 km, raising questions about the relationship between temperature and heat in the melting process.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Some participants question the distinction between heat and temperature in the context of melting ice. Others suggest that the question may be seeking a sustained surface temperature that could lead to melting over the specified time frame. There are also considerations about the implications of area and the flow of heat through the ice.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the original question. Some guidance has been offered regarding the need for the original poster to provide their own work, and there is a recognition of the complexities involved in the melting process.

Contextual Notes

Participants note that the question may not align with typical homework expectations, emphasizing the importance of showing work and understanding the underlying concepts rather than simply seeking an answer.

Aleksa S.
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How much temperature is needed to melt ice -30C that covers an area of 34 million km2 and has the height of 11.4 km in 400 years? For example, X number of celsius degrees are applied non-stop for 400 years in order to melt this ice entirely from the surface (turn to water)
 
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Aleksa S. said:
How much temperature is needed to melt ice -30C that covers an area of 34 million km2 and has the height of 11.4 km in 400 years? For example, X number of celsius degrees are applied non-stop for 400 years in order to melt this ice entirely from the surface (turn to water)

Heat melts ice, not Temperature.
 
Quantum Defect said:
Heat melts ice, not Temperature.
Alright, heat then.
 
Aleksa S. said:
How much temperature is needed to melt ice -30C that covers an area of 34 million km2 and has the height of 11.4 km in 400 years? For example, X number of celsius degrees are applied non-stop for 400 years in order to melt this ice entirely from the surface (turn to water)
You need to show some work of your own, you can't just come here and ask for an answer. That's not the way the forum works. You should read the rules. If you don't follow them, you run the risk of your post just getting deleted (or closed).
 
Quantum Defect said:
Heat melts ice, not Temperature.
Not so fast. The question specifies a time period and that the heat is applied at the surface. It also explicitly mentions degrees C. So it might really be looking for a surface temperature which, if sustained, would melt all the ice in that time.
On the other hand, there are two snags with that interpretation:
1. The area would not matter
2. If you literally were to sustain a temperature > 0C then the surface layer would melt instantly. If that were to run off instantly, then the next ice would melt instantly, etc. So you'd have to suppose a certain depth of water at any time and consider the heat flow through it.
Aleksa, have you stated the question word for word as presented to you?
 

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