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10 March, 15:28

The lower half of a 7-m-high cylindrical container is filled with water (rho = 1000 kg/m3) and the upper half with oil that has a specific gravity of 0.85. Determine the pressure difference between the top and the bottom of the cylinder. (Round the final answer to one decimal place.)

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  1. 10 March, 16:50
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    Pressure difference (ΔP) = 63,519.75 kpa

    Explanation:

    Given:

    ρ = 1,000 kg/m³

    Height of cylindrical container used (h) = 7m / 2 = 3.5m

    Specific gravity (sg) = 0.85

    Find:

    Pressure difference (ΔP).

    Computation:

    ⇒ Pressure difference (ΔP) = h g [ ρ (sg) + ρ] ∵ [ g = 9.81]

    ⇒ Pressure difference (ΔP) = (3.5) (9.81) [ 1,000 (0.85) + 1,000]

    ⇒ Pressure difference (ΔP) = 34.335 [8,50 + 1,000]

    ⇒ Pressure difference (ΔP) = 34.335 [1,850]

    ⇒ Pressure difference (ΔP) = 63,519.75 kpa
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