The density of mercury is 13.5 times greater than the density of water. If you were to build a barometer that used water instead of mercury

Question

The density of mercury is 13.5 times greater than the density of water. If you were to build a barometer that used water instead of mercury to record the standard pressure at sea level, what would be the height of that barometer?

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Kiệt Gia 5 years 2021-07-21T21:01:16+00:00 1 Answers 54 views 0

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  1. minhkhang
    0
    2021-07-21T21:02:50+00:00
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    Answer:

    Height of barometer using water column = 10.26 m

    Explanation:

    Pressure can be written as p = h d g

    Where ,

    h= Height of liquid column

    d=Density of liquid

    g= Acceleration due to gravity

    Case 1 – Mercury in the barometer

    h1= Height of mercury column

    d1=Density of mercury

    Case 2 – Water in the barometer

    h2= Height of water column

    d2=Density of water

    Since atmospheric pressure is same for water and mercury column.

    Atmospheric pressure = h1d1g = h2d2 g

    or, h1d1 = h2d2

    h2=\frac{h1d1}{d2}

    Given

    h1 = 0.76 m (Atmospheric pressure corresponding to mercury column)

    d1=13.5d2

    Hence, h2 = h1 x 13.5 = 0.76 x 13.5=10.26 m

    Height of barometer using water column = 10.26 m

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