MadSci Network: Astronomy |
As far as I can find, the pressure in the valley is not directly measured, but it can be estimated. Assumptions: ideal gas law (PV = nRT) temperature 220K (I chose this, about -50C, as a "typical" Martian temperature--it varies between 130K and 300K--and comparable to what you might find on Himalayan mountain tops. The answer changes with the temperature assumed.). Isothermal atmosphere (not an especially good assumption for Earth, although probably not bad for Mars). Scrambling back to his physics texts, your Mad Scientist finds the formula: P = Po exp <(-g)(Ro)(y)/Po) where P is the pressure at altitude y Po is the pressure at the reference altitude y is the altitude (it can be plus or minus) from reference altitude Ro is the density of the atmosphere at reference altitude. g is the gravitational acceleration, with is 9.8m/sec2 for Earth and 38% of that, about 3.7m/sec2, for Mars. Ro for the Earth at sea level at 20C is 1.2 kg/cubic meter. Correcting for our base temp. of -50C, the Ro of the Earth goes to 1.58kg/m3. Using a base pressure of 8 millibars for Mars at the lander's altitude (reference alt. for Mars), then the Ro for Mars is about 0.04 kg/m3. I computed that as follows Ro (Mars) = 1.2kg/m3 * (44/14) * (0.008) * (293/223) Earth std ratio Mars temperature density of mo- pressure ratio to at 20C lecular is 0.008 convert std wts of of Earth Earth density C02 to at sea lvl to -50C N2 Now it is a matter of stuffing things into the equation, for the two sets of conditions on Earth and Mars. When I do that for 10 kilometers of going up on Earth (roughly the top of Everest) and down 10 kilometers on Mars (roughly the depth of the valley), then I compute... P (Earth's highest mountain) appx. 312 millibars P (Mar's deepest valley) appx. 52 millbars I leave it to you to decide if these are comparable or not. They differ by a factor of 6, looked at one way, or by only about 1/4 of an (earth) atmosphere, looked at another way. There are a lot of assumptions on these numbers, of course. If you are persistent, you can probably find the actual air pressure at the top of Everest (I searched all over the web and came up empty, so evidently my choice of key words is poor). Getting an actual measurement for Mars could be somewhat more difficult :-) however.
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