Estimate the volume of a helium-filled balloon at STP if it is to lift a payload of 450 kg.The density of air is 1.29 kg/m³ and helium has a density of 0.178 kg/m³. A)2 500 m³ B)310 m³ C)410 m³ D)350 m³ E)500 m³

Question

Quizplus · Accepted Answer

To lift a payload, the buoyant force must equal the weight of the payload. The buoyant force is the weight of the air displaced by the helium, which is (density of air - density of helium) * volume * g. Solving for volume gives: Volume = payload weight / (density of air - density of helium) = 450 kg / (1.29 kg/m³ - 0.178 kg/m³) ≈ 410 m³.

Estimate the Volume of a Helium-Filled Balloon at STP If