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?
- 1 decade agoFavorite Answer
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.
Set up a ratio.
(Pressure1)/(Altitude1) = (Pressure2)/(Altitude2)
It doesn't matter which pressure/atmosphere you designate as 1 or 2. Just be consistent.
Solve for x; this will give you the atmospheric pressure at 3000m.
Same as (a), but instead of using 3000, use 6187.