A room has dimensions of 15 ft by 15 ft by 20 ft contains air with a density of 0.0724 pounds-mass per cubic feet. The weight of air in the

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A room has dimensions of 15 ft by 15 ft by 20 ft contains air with a density of 0.0724 pounds-mass per cubic feet. The weight of air in the room in pounds-force is

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Orla Orla 4 years 2021-07-13T10:44:25+00:00 1 Answers 8 views 0

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  1. Eirian
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    2021-07-13T10:45:47+00:00
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    Answer:

    the weight of the air in pound-force (lb-f) is 325.8 lbf

    Explanation:

    Given;

    dimension of the room, = 15 ft by 15 ft by 20 ft

    density of air in the room, ρ = 0.0724 lbm/ft³

    The volume of air in the room is calculated as;

    Volume = 15 ft x 15 ft x 20 ft = 4,500 ft³

    The mass of the air is calculated as;

    mass = density x volume

    mass = 0.0724 lbm/ft³  x  4,500 ft³

    mass = 325.8 lb-m

    The weight of the air is calculated as;

    Weight = mass x gravity

    Weight = 325.8 lb-m x 32.174 ft/s²

    Weight = 10482.29 lbm.ft/s²

    The weight of the air in pound-force (lb-f) is calculated as;

    1 lbf = 32.174 lbm.ft/s²

    Weight =10,482.29\ lbm.ft/s^2\times \frac{1 \ lbf}{32.174 \ lbm.ft/s^2} \\\\Weight = 325.8 \ lbf

    Therefore, the weight of the air in pound-force (lb-f) is 325.8 lbf

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