8. (16 pts) The energy in a hurricane is mostly from the latent heat from the condensation of the warm water vapor. Use Lv = 2477 kJ/kg at 10 degrees C in the atmosphere where the storm is. (Note that this is NOT the Lv for boiling water at 100C). Estimate the power in a hurricane from the rainfall and the latent heat of vaporization of water. Assume a storm diameter of 300 miles with average rainfall of 3\" /day within the area of the storm. This gives you a volume of water being condensed. Put it in SI units. To get the weight, you need the density of water. (a) What is the energy released by rainfall condensation in one day in units of Joules? (b) Rewrite the daily energy release in units of kilotons of TNT. One kiloton of TNT releases 4.2 x 1012 Joules. The atom bomb dropped on Hiroshima was the equivalent of 15 kilotons of TNT. How many atom bombs in a day does a hurricane correspond to? (c) Write down the power released by the hurricane in Watts. ((1) So far, we just talked about condensation, but the hurricane also releases power via surface winds. The power released by the hurricane's surface winds is 3 TW. How many times greater is the power released by rainfall than by surface winds