Icebergs in the North Atlantic present hazards to shipping, causing the lengths

Question

Icebergs in the North Atlantic present hazards to shipping, causing the lengths of shipping routes to be increased by about 30% during the iceberg season. Attempts to destroy icebergs include planting explosives, bombing, torpedoing, shelling, ramming, and coating with black soot. Suppose that direct melting of the iceberg, by placing heat sources in the ice, is tried. How much energy as heat is required to melt 13% of an iceberg that has a mass of 130000 metric tons? (Use 1 metric ton = 1000 kg.)

Explanation / Answer

Mass of iceberg = 130000 metric tons Mass (m) of the melted ice is m = 13% of 130000 metric tons m = (0.13)(130000 metric tons) = (0.13)(130000)(1000kg) = 1.69 x 10^7 kg Amount of heat energy required to melt 13% of an iceberg is Q = mL = (1.69 x 10^7 kg)(333.55x10^3 J/kg) = 563.7 x 10^10 J = 5.64 x 10^12 J

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