(a) Let's start by calculating the helium's weight. We'll apply the well-known weight equation:
W helium =m helium ⋅g
where m helium is the mass of the helium and g is the gravity.
=>W helium =ρ helium ⋅V⋅g
putting the values we get
ρ helium =0.183 kg/ m^3
Therefore, W helilum =76.2 kN
(b) The weight of the air will also be determined in the same manner:
W air =ρ air ⋅V⋅g
=> ρ air =1.205 kg/ m^3
Therefore after substituting the values we get,
W air = 501.35 kN
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