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Q.

A balloon contains $400 m^{3}$ of hydrogen. The mass of the balloon without hydrogen is 34kg. Its net lifting ability is (in kg.wt.)
(Density of hydrogen = $0.09 k g / m^{3}$ ; Density of air $= 1.3 k g / m^{3}$ )

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answer is 450.

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Detailed Solution

Mass of hydrogen $= 0.09 \times 400 = 36 kg$

Net lifting ability $= F_{B} - mg = V ρ g - mg$

(Total)m $= 36 + 34 = 70 kg$

$= 400 \times 1.3 g - 70 \times g$

$= 450 g = 450 kgwt$

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