I'm having a horrible time trying to figure this out...Derive a relationship for the height of a given pressure surface (p) n terms of the pressure p0 and temperature t0 at sea level, assuming that temperature decreases uniformly with height at a rate Γ Kkm-1. I have formulas but can't seem to put them together to get what I need...
2007-02-01 17:31:47 · 3 answers · asked by A-train 1 in Science & Mathematics ➔ Physics
heyy
2007-02-01 17:41:47 · answer #1 · answered by dannii e 2 · 0⤊ 0⤋
You are not clear about the gas. It depends on whether the given gas is fixed in volume, eg, in a container. If so, only temperature is changing. Since PV/T = nR (n is fixed moles of gas), then Pis proportional to -T linearly.
However, if you are talking about atmospheric pressure itself, the density of air (assume fixed temperature) drops with height linearly up to at least 20k feet. So P is also dropping at -Y units/km. Combining both air density and temperature dropping, you really have a quadratic relationship.
2007-02-01 17:49:10 · answer #2 · answered by Sir Richard 5 · 0⤊ 0⤋
p1v1/t1=p2v2/t2
2007-02-01 17:52:42 · answer #3 · answered by Shiv Dayal G 2 · 0⤊ 0⤋