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Balloons are often filled with helium gas because it weighs only about one-seventh of what air weighs under identical conditions. The buoyancy force, which can be expressed as will push the balloon upward. If the balloon has a diameter of 12 m and carries two people, 85 kg each, determine the acceleration of the balloon when it is first released. Assume the density of air is = 1.16 kg/m^3, and neglect the weight of the ropes and the cage. Answer: 22.4 m/s^2
Air at 1.3 bar, 423 K and a velocity of 40 m/s enters a nozzle operating at steady state and expands adiabatically to the exit, where the pressure is 0.85 bar and velocity is 307 m/s. For air modeled as an ideal gas with k = 1.4, determine for the nozzle (a) the temperature at the exit, in K, and (b) the isentropic nozzle efficiency.