The density of air is 1.3 kgm⁻³. Find the mass of air in a room measuring 8m x 5m x 4m. Ans. (208 kg)


Given:  

Density of the air = 𝜌 = 1.3 kg m⁻³
Volume of the room containing air (from the measurement) = V =  8 m ｘ 5 m ｘ 4 m =160 m³

To Find:

Mass of the air = m = ?

Solution:   

As Density is defined as mass per unit volume. So, 

Density = `\frac {Mass}{Volume}`

or

Mass = Density ｘ Volume

m = 𝜌 V

by putting values

m = 1.3 kg m⁻³ ｘ 160 m³

m = 208 kg

Thus, the Mass (m) of air is 425 kg

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