Question

A light balloon is filled with 414 m3 of helium at atmospheric pressure. (a) At 0°C,...

A light balloon is filled with 414 m3 of helium at atmospheric pressure.

(a) At 0°C, the balloon can lift a payload of what mass? kg

(b) What load can the balloon lift if filled with hydrogen?

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Answer #1

(A) Density of air at 0 oC degrees is 1.292kg/m3,

Density of helium at the same condition is 0.1786 Kg/m3

The mass of Helium inside the balloon = 414 x 0.1786= 73.94 kg

The mass of the air occupied by the helium = 414 x 1.292 = 534.888 kg

The buoyant mass is 534.888 -73.94 = 460.948 kg. Answer

(B)

Density of air at 0 oC degrees is 1.292kg/m3,

Density of hydrogen at the same condition is 0.089 Kg/m3

The mass of Hydrogen inside the balloon = 414 x 0.089 = 36.85 kg

The mass of the air occupied by the helium = 414 x 1.292 = 534.888 kg

The buoyant mass is 534.888 - 36.85 = 498.04 kg. Answer

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