A balloon is to be filled with helium and used to suspend a mass of 300 kilograms in air. If the mass of the balloon is neglected, which of the following gives the approximate volume of helium required? (The density of air is 1.29 kilograms per cubic meter and the density of helium is 0.18 kilogram per cubic meter.)
A. 50 m3
B. 95 m3
C. 135 m3
D. 270 m3
E. 540 m3
(GR0177 #56)
Solution:
ΣF = 0
ρagV = ρhgV + m0g
V = m0 / (ρa - ρh) = 300 / (1.29 - 0.18) = 270 m3
Answer: D
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