It has been proposed to tow icebergs from the polar region to the Middle East in order

Question:

It has been proposed to tow icebergs from the polar region to the Middle East in order to supply potable water to arid regions there. A typical iceberg suitable for towing should be relatively broad and flat. Consider an iceberg 0.25 km thick and 1 km square. This iceberg is to be towed at 1 km/h over a distance of 6000 km through water whose average temperature during the trip is 8?C. Assuming that the interaction of the iceberg with its surrounding can be approximated by the heat transfer and friction at its bottom surface, calculate the following parameters:(a) The average rate at which ice will melt at the bottom surface.(b) The power required to tow the iceberg at the designated speed.(c) If towing energy costs are approximately 50 cents per kilowatt hour of power and the cost of delivering water at the destination can also be approximated by the same figure, calculate the cost of fresh water. The latent heat of fusion of the ice is 334 kJ/kg and its density is 900 kg/m3.GIVENAn ice sheet being towed through waterIce sheet dimensions: 1 km × 1 km × 0.25 km = 1000 m × 1000 m × 250 mTowing speed (U??) = 1 km/h = 1000 m/hDistance towed = 6000 km = 6 × 106 mAverage water temperature (T??) = 8?CTowing cost = $.50/kWhLatent heat of fusion of the ice (hsf) = 334 kJ/kgDensity of he ice (ρi) = 900 kg/m3ASSUMPTIONSHeat transfer and friction of the sides of the iceberg are negligibleProperties of sea water are the same as fresh watersketch