How many years would it take before the ice melted?

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SUMMARY

The discussion focuses on calculating the heat required to melt a large iceberg measuring 149 km in length, 27.7 km in width, and 152 m in thickness, using the density of ice at 917 kg/m³. The required heat is determined by the formula: heat required = mass of ice x heat of fusion for ice. Additionally, it examines the annual energy consumption of the United States in 1994, which was 9.3 x 1019 J, to estimate how many years it would take to melt the iceberg if this energy were delivered annually.

PREREQUISITES
  • Understanding of heat transfer and thermodynamics
  • Familiarity with the concept of density and its calculations
  • Knowledge of the heat of fusion for ice
  • Ability to perform volume and mass calculations
NEXT STEPS
  • Calculate the mass of the iceberg using its volume and density
  • Research the heat of fusion for ice and its implications in melting processes
  • Explore energy consumption statistics and their relevance to large-scale melting scenarios
  • Investigate climate change impacts on iceberg melting rates
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Students in physics or environmental science, researchers studying climate change, and anyone interested in thermodynamics and energy consumption analysis.

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Homework Statement


Occasionally, huge icebergs are found floating on the ocean's currents. Suppose one such iceberg is 149 km long, 27.7 km wide, and 152 m thick. (a) How much heat in joules would be required to melt this iceberg (assumed to be at 0 °C) into liquid water at 0 °C? The density of ice is 917 kg/m3. (b) The annual energy consumption by the United States in 1994 was 9.3 x 1019 J. If this energy were delivered to the iceberg every year, how many years would it take before the ice melted?


Homework Equations


heat required = mass of ice x heat of fusion for ice
mass of water is found from density and volume of ice
density of ice=mass of ice/volume of ice


The Attempt at a Solution



a very large number not worth mentioning b/c its not right!
 
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We have no idea why your number is wrong if you do not show us how you calculated it.
 

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