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16 November, 07:57

the density of dry air at 20 degrees celsius is 1.20 g/L. What is the mass of air, in kilograms, of a room that measures 24.0m by 15.0 m by 4.0 m

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  1. 16 November, 09:57
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    1728 kg is the mass of air for the room

    Explanation:

    An exercise of unit conversion.

    The volume of the room will be:

    24 m. 15 m. 4m = 1440 m³

    Density of air is 1.20 g/L which means that in 1L, there is contained 1.20 g of air.

    1L = 1dm³

    1m³ = 1000 dm³

    1440 m³. 1000 = 1440000 dm³ ⇒ 1.44x10⁶ L

    Density of air = 1.20 g/L = mass of air / volume of air

    1.20 g/L = mass of air / 1.44x10⁶ L

    1.20 g/L. 1.44x10⁶ L = mass of air → 1728000 grams

    1 g = 1x10⁻³ kg

    1728000 g / 1000 = 1728 kg
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