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In Sunday's "60 Minutes" TV program the correspondent descended into a gold mine said to be 2 miles (3 km) deep. What equation describes the air pressure relative to sea level atmospheric pressure?

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Barometric formula is the equation which can estimate the pressure at different heights:

$$ p=p_0\cdot\exp\left(-\frac{mgh}{k_BT}\right) $$

The $p_0$ is the reference pressure, $T$ is the temperature in K, $k_B$ is the Boltzmann constant, and $h$ is the height.

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  • $\begingroup$ Kiitos (thanks) @kalle for the edit of the equation. $\endgroup$ – Travis_h Jan 25 '19 at 16:52
  • $\begingroup$ This equation suppose constant temperature. It is not the case in a deep mine ? $\endgroup$ – Vincent Fraticelli Jan 25 '19 at 16:56
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    $\begingroup$ There are few assumptions. For instanec, this equation gives the pressure of a point with a temperature in equilibrium. $\endgroup$ – Travis_h Jan 25 '19 at 16:58

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