? asked in 科學及數學其他 - 科學 · 1 decade ago

What is the pressure and temperature 4000m above sea level?

What is the pressure and temperature 4000m above sea level?

Therotical value wanted.

1 Answer

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  • Carson
    Lv 6
    1 decade ago
    Favorite Answer

    For the pressure and temperature 4000m above sea level,

    Pb = 101325 (pascals)

    Tb = 288.15 (kelvins)

    Lb = -0.0065 (kelvins per metre) according to ICAO

    h = Height above sea level (metres)

    R = Universal gas constant: 8.31432×10^3 N·m / (kmol·K)

    g0 = Gravitational constant (9.80665 m/s)

    M = Molar mass of Earth's air (28.9644 g/mol)

    T = temperature = Tb + Lb * h = 288.15 - 0.0065 * (4000)

    T = 262.15 K = - 11 deg C

    P = pressure = Pb * [ Tb / [Tb + Lb * h] ] ^ [(g0 * M) / (R * Lb)]

    P = 101325 * [ 288.15 / 262.15 ] ^ [(9.80665 * 28.9644) / (8314.32 * -0.0065)]

    P = 101325 * [ 288.15 / 262.15 ] ^ (-5.25588)

    P = 61640.24 pascals

    Source(s): My knowledge
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