Air Pressure in a Mine

Question

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?

Travis_Dudeson · Answer

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

$$
p=p_0cdotexpleft(-frac{mgh}{k_BT}right)
$$

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

Air Pressure in a Mine

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