As I understand, in deep mines on Earth the air pressure increases with depth. At what depth on Mars would the air pressure reach 14psi (97 kPa)?
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$\begingroup$ Why the particular interest in 14 psi??? $\endgroup$– JeopardyTempestApr 20, 2022 at 4:07
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1 Answer
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The Mars Atmosphere Model web page by Nasa lists the equation for atmospheric pressure as,
$P = 0.699e^{-0.00009h}$
Where pressure, $P$ is in kilopascals and $h$ is height is in meters.
Rearranging the equation,
$h= - \frac{ln(\frac{P}{0.699})}{0.00009}$
For a pressure of 97 kPa,
$h= - \frac{ln(\frac{97}{0.699})}{0.00009} \ = \ -54\ 809 \ m \ = \ -54.8 \ km$
Which means the atmosphere would need to be 54.8 km below the surface of Mars to have a pressure of 97 kPa.