Air pressure decreases with altitude. Is there a formula that goes with it?

Question

As you rise in altitude the air gets thinner and the atmospheric pressure is reduced. As a result things expand. At what rate? Do all solids and liquids expand to some degree? Also, what about wind speed with regards to altitude? With less air is there less air speed? I thought it was pretty turbulant when you get up to 100,000 feet. Am I wrong?

Any thoughts, or answers appreciated. Thank you in advance.

Answer 1

There's the equation of density x gravity x height that determines the pressure of a fluid, but the atmospheric pressure? You will need to use this equation.

p = po x e^ -(h/ho)

p = atmospheric pressure

h = height

po = surface pressure

ho = scale height

Having air pressure decrease with altitude is just a correlation as the amount of air molecules decrease. However, a standard measurement of atmospheric pressure is approximately 1 atm or 760mmHg, when referring to an ideal gas, but variations of temperature will effect that value.

Yes, all solid and liquids expand to some degree but it is not very noticeable compared to gas. An example would be to have unopened bag of chips and suddenly bringing it up really high. It would be easier to see the expansion of the bag, which demonstrates the lowered pressure, causing the volume to expand.

High wind speeds would result in a lower pressure. The speed of air isn't determined by how much air molecules there are, but rather the pressure and temperature playing a larger role in that.

Answer 2

See the link below.

Answer 3

if you are talking about really life

then their is no exact formula

but you can find the pressure with respect height from sea level in crc handbook of chemistry & physics.

and then pv=nrt      to find what ever you are looking for

i know this bcz in my chem class i had a project to do about the volume of balloon as it goes higher and higher.

and ya dont take the number from online most of them are wrong so just go to your college library and check in crc.

Answer 4

Yes it's an exponential function. See the site below.