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28 April, 12:38

The pilot of an airplane reads the altitude 6400 m and the absolute pressure 46 kPa when flying over a city. Calculate the local atmospheric pressure in that city in kPa and in mmHg. Take the densities of air and mercury to be 0.828 kg/m3 and 13,600 kg/m3, respectively.

The local atmospheric pressure in the city in kPa is?

The local atmospheric pressure in the city in mmHg is?

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  1. 28 April, 16:06
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    1. 6.672 kPa

    2. 49.05 mm of mercury

    Explanation:

    h = 6400 m

    Absolute pressure, p = 46 kPa = 46000 Pa

    density of air, d = 0.823 kg/m^3

    density of mercury, D = 13600 kg/m^3

    (a) Absolute pressure = Atmospheric pressure + pressure due to height

    46000 = Atmospheric pressure + h x d x g

    Atmospheric pressure = 46000 - 6400 x 0.823 x 10 = 6672 Pa = 6.672 kPa

    (b) To convert the pressure into mercury pressure

    Atmospheric pressure = H x D x g

    Where, H is the height of mercury, D be the density of mercury, g be the acceleration due to gravity

    6672 = H x 13600 x 10

    H = 0.04905 m

    H = 49.05 mm of mercury
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