# Air Pressure in a Mine

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?

$$p=p_0\cdot\exp\left(-\frac{mgh}{k_BT}\right)$$
The $$p_0$$ is the reference pressure, $$T$$ is the temperature in K, $$k_B$$ is the Boltzmann constant, and $$h$$ is the height.