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16 June, 09:43

Calculate the hydrostatic difference in blood pressure between the brain and the foot in a person of height 1.93 m. The density of blood is 1.06 * 103 kg/m3.

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  1. 16 June, 10:07
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    Given: Density of blood = 1.03 * 10³ Kg/m³, Height = 1.93 m g = 9.8 m/s²

    pressure at the brain is equal to atmospheric pressure. = Hydro-static

    pressure (ρ₀)

    ∴ pressure of the foot = pressure of the brain (ρ₀) + (density of blood * acceleration due to gravity * height) (ρgh)

    Hydro-static pressure = pressure at the feet - pressure at the brain (ρ₀)

    Hydro-static pressure (Δp) = (ρgh + ρ₀) - ρ₀ = ρgh

    Hydro-static pressure = 1.03 * 10³ * 9.8 * 1.93 = 1.948 * 10⁴ Pa

    ∴ Hydro-static pressure ≈ 1.95 * 10⁴ Pa
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