The atmosphere pressure can support mercury in a tube, which the upper end is closed, up to 0.76 meter. If the mercury is replaced by pure w

Question

The atmosphere pressure can support mercury in a tube, which the upper end is closed, up to 0.76 meter. If the mercury is replaced by pure water in this case, what is the maximum height the atmosphere pressure can support the water in such kind a tube? (The density of mercury is about 13.6 times larger than that of water).

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Trung Dũng 3 years 2021-07-30T13:12:48+00:00 1 Answers 1 views 0

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    2021-07-30T13:14:27+00:00

    Answer:

    Maximum height the atmosphere pressure can support the

    water=10.336 m

    Explanation:

    We know that ,

    Pressure = h\cdot\rho\cdot g

    Case 1 – Mercury in the tube

    Density\ of\ mercury =\rho_1\\and\ height\ attained\ for\ mercury\ column = h_1

    Case 2 – Water in the tube

    Density\ of\ water =\rho_2\\and\ height\ attained\ for\ water\ column = h_2

    Since atmospheric pressure is same

    .P=h_1\cdot\rho_1\cdot g = h_2\cdot\rho_2\cdot g

    or,  h_2=\frac{h_1\rho_1}{\rho_2}

    Given\ h_1= 0.76\  m,\rho_1=13.6\cdot\rho_2

    h_2=0.76\cdot13.6=10.336\ m

    Hence height of the water column =10.336 m

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