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Can we find air pressure just using height in meters?

I need to know the formula to calculate air pressure in atm, kPa, or mmHg just using the height in meters. Is this possible?

For example: The elevation above sea level for Oklahoma City is 323 meters, find the air pressure?

Please provide a formula and where you found the formula.

Thanks in advance!

2 Answers

Relevance
  • 8 years ago
    Favorite Answer

    The formula is quite complicated, see the reference.

    P = P₀ e^(–gMh/RT₀)

    h height in meters

    P₀ sea level standard atmospheric pressure 101325 Pa

    T₀ sea level standard temperature 288.15 K

    g Earth-surface gravitational acceleration 9.80665 m/s²

    M molar mass of dry air 0.0289644 kg/mol

    R universal gas constant 8.31447 J/(mol•K)

    for 323 m, I get P = 97518 Pa (compared to 101325 Pa at sea level)

  • ?
    Lv 7
    8 years ago

    theoretically yes, but in practice, no. In fact air pressure varies constantly within boundaries set by the local conditions such as rainfall, weather patterns, prevailing winds, available sunlight, temperature flux , and so on.

    Source(s): weather patterns, climate, etc..
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