A balloon having a volume of $4200 m^{3}$ is filled with a gas at $27^{\circ} C, a n d 1$ bar pressure. It weighs $700 kg$ . If the density of air is $1.2 {kg m}^{- 3}$ , then the pay load of the balloon is:

5040 kg

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4340 kg

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3500 kg

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5740 kg

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Solution

The correct option is B $4340 kg$
We know density = $\frac{m a s s}{v o l u m e}$
Mass of air displaced = density of air $\times$ volume $= 1.2 \times 4200$ $= 5040 kg$
Total weight of the balloon $= 700 kg$
$∴$ Payload of balloon = mass of air displaced - mass of the balloon $= 5040 - 700$ kg $= 4340 kg$

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Similar questions

Q. A balloon having a volume of

4200 m^{3}

is filled with a gas at

27^{\circ} C, a n d 1

bar pressure. It weighs

700 kg

. If the density of air is

1.2 {kg m}^{- 3}

, then the pay load of the balloon is:

Calculate the pay load when a balloon of radius 10 m, mass 100 kg is filled with helium at 1.66 bar at 27°C. (Density air=1.2 kg m^-3and R=0.083 bar dm³K^-1mol^-1)

Pay load is defined as the difference between the mass of displaced air and the mass of the balloon. Calculate the pay load when a balloon of radius 10 m, mass 100 kg is filled with helium at 1.66 bar at $27^{\circ} C$ . (Density of air = $1.2 k g m^{- 3} a n d R = 0.083 b a r d m^{3} K^{- 1} m o l^{- 1}$ ).

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