TimR asked in Science & MathematicsPhysics · 1 decade ago

Atmospheric Pressure?

The rate of change of atmospheric pressure P with respect to altitude h is proportional to P, provided that the temperature is constant. At 15 degrees celsius the pressure is 101.3 kPa at sea level and 87.14 kPa at h=1000. (a) What is the atmospheric pressure at an altitude of 3000m? (b) What is the pressure at the top ot Mount McKinley, at an altitude of 6187?

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  • 1 decade ago
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    Since they are proportional, we can say that P=h (in terms of there relationship to one another--as one increases, so does the other, and vice versa. This concept is very important to know and allows further understanding of what is meant by "proportional").

    Ignore the 15 degress C part, because you don't need it to answer this.

    (a)

    Set up a ratio.

    (Pressure1)/(Altitude1) = (Pressure2)/(Altitude2)

    It doesn't matter which pressure/atmosphere you designate as 1 or 2. Just be consistent.

    x/3000=87.14/1000

    Solve for x; this will give you the atmospheric pressure at 3000m.

    (b)

    Same as (a), but instead of using 3000, use 6187.

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