2. Blimps Ahoy A blimp and its cargo have mass m = 780 kg. Lift for the blimp is
ID: 1462492 • Letter: 2
Question
2. Blimps Ahoy A blimp and its cargo have mass m = 780 kg. Lift for the blimp is provided by gas inside the blimp's envelope (the balloon part). Assume the gas In the balloon Is at the same measure as the air outside (atmospheric pressure). and that the blimp is flying very close to sea level. The density of air is Pair = 1.22 kg/m^3. (a) What volume of hydrogen gas (pH2 = 0.09 kg/m^3) would provide the buoyant force required to maintain a constant altitude? (b) What volume of helium gas (PHe = 0.178 kg/m^3) would provide this buoyant force?Explanation / Answer
a) Let V volume of the hydrogen gas is required.
in the equilibrium,
buynat force = weight of the cargo + weight of the hydrogen gas
weight of the dispalced air = weight of the cargo + weight of the hydrogen gas
rho_air*V*g = 780*g + rho_H*V*g
rho_air*V = 780 + rho_H*V
rho_air*V - rho_H*V = 780
V*(rho_air - rho_H) = 780
V = 780/(rho_air - rho_H)
= 780/(1.22 - 0.09)
= 690.27 m^3 <<<<<<<<-------------Answer
b) Let V volume of the helium gas is required.
in the equilibrium,
buynat force = weight of the cargo + weight of the helium gas
weight of the dispalced air = weight of the cargo + weight of the helium gas
rho_air*V*g = 780*g + rho_He*V*g
rho_air*V = 780 + rho_He*V
rho_air*V - rho_He*V = 780
V*(rho_air - rho_He) = 780
V = 780/(rho_air - rho_He)
= 780/(1.22 - 0.178)
= 748.6 m^3 <<<<<<<<-------------Answer
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