1. A hot air balloon operates by the buoyancy effect caused a density difference between the ambient outside air and the hot air inside the balloon. If the air inside a balloon of diameter 90 ft is heated to 140'F above ambient at atmospheric pressure, and the balloon takes off from a location where the density of air is 6.03 X 10-2 lb/ft3 and the temperature is 70"F, determine how many people with an average mass of 150 lb can be transported in the basket. Assume that the basket, balloon and operating supplies weigh 4300 lom, the pressure inside the balloon is the same as the pressure outside the balloon, and that the air behaves as an ideal gas. You may model the balloon as a sphere. For ideal gases, Pv = RgasT where P is absolute pressure, v is specific volume, Rgas is a constant and T is absolute temperature