Occasionally, huge icebergs are found floating on the ocean's currents. Suppose one such iceberg has a regular volume and is 120 km long, 35 km wide, and 230 m thick. (1) How much heat 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. The latent heat of fusion for ice is 33.5x104 J/kg.) (ii) Assume the average annual energy consumption by a developed country in the past years was 9.3 x 10o19 J. If this energy were delivered to the iceberg every year, how many years would it take before the ice is completely melted?

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Chapter1: Units, Trigonometry. And Vectors
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Occasionally, huge icebergs are found floating on the ocean's currents. Suppose
one such iceberg has a regular volume and is 120 km long, 35 km wide, and
230 m thick.
(1)
How much heat 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. The latent
heat of fusion for ice is 33.5x104 J/kg.)
(ii) Assume the average annual energy consumption by a developed country
in the past years was 9.3 x1o19 J. If this energy were delivered to the
iceberg every year, how many years would it take before the ice is
completely melted?
Transcribed Image Text:Occasionally, huge icebergs are found floating on the ocean's currents. Suppose one such iceberg has a regular volume and is 120 km long, 35 km wide, and 230 m thick. (1) How much heat 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. The latent heat of fusion for ice is 33.5x104 J/kg.) (ii) Assume the average annual energy consumption by a developed country in the past years was 9.3 x1o19 J. If this energy were delivered to the iceberg every year, how many years would it take before the ice is completely melted?
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