Answer to Question #272848 in Molecular Physics | Thermodynamics for mekka

Question

Determine the size of spherical balloon required to lift a payload of 1360 kg. The gas to be used is Helium at

101.3 Kpa and 23 0 C. The surrounding air is 101.3 KPa and 10 0 C.

Answer 1

$F_A=F,$

$\rho g V=mg,$

$\rho V=m,$

$V=\frac m{\rho},$

$V=\frac{\pi d^3}6,$

$d=\sqrt[3]{\frac{6m}{\pi \rho}},$

$d=24.7~m.$