A spherical balloon contains 10m^3 of helium at 1 atmosphere and 0C. What will be the diameter of the balloon at the altitute of 3.2 kilometer, where the temperature are -7C and 85000 N/m^2 respectively? What would be the diameter of the balloon if instead of the helium we had hydrogen? Find the weight difference for both cases.
By assumption V1 = 10 m^3 p1 = 1 atmosphere = 101325 N/m^2, T1 = 0C = 273 K p2 = 85000 N/m^2 T2 = -7 C = 273-7 = 266 K