Haha plaaynde's links took me here.
Quote:
Originally Posted by FlyWf
Why is air less dense at higher levels?
Ok i will try some in detail explanation with some links for anyone interested further.
Look here;
http://en.wikipedia.org/wiki/Hydrost...tatic_pressure
under atmospheric pressure section.
Basically its
because of statistical mechanics reasons.
For example see here the deeper connection that is universal for all systems;
http://en.wikipedia.org/wiki/Partiti...l_mechanics%29
Those will allow one to see how the math takes you to the above equation and then a similar one for density as they are related with a near ideal gas law relationship
http://en.wikipedia.org/wiki/Ideal_gas_law.
The above can also be derived using hydrostatic pressure arguments. For example see also here;
http://en.wikipedia.org/wiki/Barometric_formula
To qualitatively understand what is going on imagine this;
Pressure is the result of collisions of particles moving randomly and hitting eg walls (essentially the transfer rate of momentum through a surface). Keep in mind pressure is the force divided by the surface area this force is applied to. The striking of particles (that we cant see with our eyes but are all around us hitting our face all the time) say in the walls of a container is like balls of tennis hitting a wall. So imagine a wall hit by hundreds of tennis balls at the same time randomly from various directions. If you were on the other side of the wall (behind it) and measured the force felt you would see a fluctuating value as a result of the constant random strikes. The more particles per unit time strike you with higher speeds the higher the pressure felt. Imagine if the tennis balls were service strikes to the wall for example instead of casual volley strikes. Much more significant effective force felt on average behind the wall if the speeds are enormous. This analogue is similar to what the atoms or molecules are doing in a gas. The higher the temperature the higher the random speeds of these particles. Now those are billions of billions of particles felt on your face say over a few seconds rather than the example of a few dozen balls hitting a wall. This is why the relative fluctuation now with so many atoms/molecules is tiny to almost unobservable and giving the impression its a constant pressure rather than random fluctuating thing (which it is in reality but the width is supertiny left unnoticed). The volatile nature in the example of tennis balls is removed when you have trillions and trillions of particles hitting a wall every second. It becomes a smooth experience at the timescales humans can understand (ie 0.01-0.1 sec etc) .
Now those atoms or molecules moving around in the air collide with each other and change direction very frequently. See here
http://en.wikipedia.org/wiki/Mean_free_path (eg ~100 nano meters ~10^-7m for air). So they cant escape the earth easily by moving say forever upwards without eventually colliding and changing direction back down again etc. They do have rather large speeds though between collisions. Imagine typical speeds of 400m/sec for example. They locally (for a given altitude) obey the Maxwell Boltzmann distribution law for their velocities
http://en.wikipedia.org/wiki/Maxwell...n_distribution and their number density is an exponentially decaying function of altitude as discussed above.
You can kind of understand why there is that decay with altitude. Gravity wants to keep particles down but because of their random thermal motion that is pretty significant they move around a lot and collide frequently but its more energetically favorable for them to be close to the surface of earth doing these collisions rather than higher with gravity being a permanent resistance to their tendency to go higher because of random motions. So you can imagine their effort to go higher is impeded by 2 things; The random frequent collisions that do not allow them to move up nonstop fast before changing again direction effectively doing random walks rather than straight up moves (and out of earth field) and the existence of gravity that attracts them down.
This is why the earth keeps its atmosphere and doesnt lose it rapidly to space. The fact we do have a magnetic field also helps shield from the solar wind that tends to take away some parts of the atmosphere in eg Mars and other systems that have tiny or no atmosphere left over time due in part to to this effect. If for example suddenly the gravity of earth got down by a factor of 100 we would lose a lot of our atmosphere to space.
As for OP's the earth being flat (joking or not) the proof my friend is in front of you but you are not willing to see and do not need to be told by others or to read books, just look at nature outside. You need only watch a lunar eclipse and you will see the curvature of earth on the moon's disk during the eclipse. You will be able to see in fact that way how much larger a disk earth has (kind of like a huge coin covering partially a small one) . Also why is still night in Hawaii/Tokyo right now and noon in east coast say (call someone) if all was flat?
http://www.timeanddate.com/worldclock/sunearth.html
Last edited by masque de Z; 04-23-2015 at 11:55 AM.