Liquid methylene bromide has a density of 2.50 g/mL. A barometer is constructed using methylene bromide instead of mercury. If the atmospher

Question

Liquid methylene bromide has a density of 2.50 g/mL. A barometer is constructed using methylene bromide instead of mercury. If the atmospheric pressure is 0.950 atm, what is the height of the methylene bromide column in the barometer in cm

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Thái Dương 2 weeks 2021-07-21T22:45:55+00:00 1 Answers 0 views 0

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    2021-07-21T22:47:00+00:00

    Answer:

    393 cm

    Explanation:

    Step 1: Given and required data

    • Density of liquid methylene bromide (ρ): 2.50 g/mL (2.50 g/cm³)
    • Earth’s gravity (g): 9.81 m/s²
    • Atmospheric pressure (P): 0.950 atm

    Step 2: Convert 0.950 atm to Pa (N/m²)

    We will use the conversion factor 1 atm = 101325 Pa.

    0.950 atm × 101325 Pa/1 atm = 9.63 × 10⁴ Pa

    Step 3: Convert 2.50 g/cm³ to kg/m³

    We will use the conversion factors:

    • 1 kg = 10³ g
    • 1 m³ = 10⁶ cm³

    \frac{2.50g}{cm^{3} } \times \frac{1kg}{10^{3}g } \times \frac{10^{6}cm^{3}  }{1m^{3} } =  2.50 \times 10^{3} kg/m^{3}

    Step 4: Calculate the height (h) of the liquid column

    We will use the following expression.

    P = ρ × g × h

    h = P / ρ × g

    h = 9.63 × 10⁴ Pa / (2.50 × 10³ kg/m³) × 9.81 m/s²

    h = 3.93 m = 393 cm

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