Find the lifting power of a $100$ litre balloon filled with $H e$ at $730 m m$ and $25^{o} C$ .
(Density of air $= 1.25 g / L$ ).

125.23 g

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95.28 g

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109.28 g

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104 g

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Solution

The correct option is C $109.28 g$
Since, $P V = n R T$
$P V = \frac{W}{M} R T$
$∴ W = \frac{P V M}{R T} = \frac{730}{760} \times \frac{100 \times 4}{0.082 \times 298} g$
i.e., Wt. of $H e = 15.72 g$
Wt. of air displaced $= 100 \times 1.25 g / L = 125 g$
Lifting power of the balloon $= 125 g - 15.72 g = 109.28 g$

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Find the lifting power of a 100 litre balloon filled with He at 730 mm and 25oC. (Density of air =1.25 g/L).

The correct option is C 109.28gSince, PV=nRTPV=WMRT∴W=PVMRT=730760×100×40.082×298gi.e., Wt. of He=15.72 gWt. of air displaced =100×1.25 g/L=125 gLifting power of the balloon =125 g−15.72 g=109.28 g

Find the lifting power of a $100$ litre balloon filled with $H e$ at $730 m m$ and $25^{o} C$ .
(Density of air $= 1.25 g / L$ ).