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The dimensions of a hall are 10m x 7m x 5m. If the density of air is 1.11 kgm−3, find the mass of air in the hall.

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The dimensions of the hall are 10m x 7m x 5m

i.e. Volume of the hall = 10 x 7 x 5 = 350 m3

Since air occupies the entire volume of the hall,

Volume of air in the hall = Volume of the hall = 350 m3

Density of air(D) = 1.11 kg m−3

Mass = volume × density

Mass = 350 × 1.11

= 388.5 kg

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