Determine the depth of the mine if the pressure in the mine is p = 106.2 kPa, and on the Earth’s surface P is zero = 101.3 kPa.

From the condition it is known that the pressure in the mine is p = 106.2 kPa, and the pressure on the earth’s surface is also known p0 = 101.3 kPa. And we need to find the depth of the mine.

To solve the problem, we will apply the following actions. First, let’s find the difference in pressure at the depth of the mine and at the surface:

p – p0 = 106.2 kPa – 101.3 kPa = 4.9 kPa.

Let’s translate the result into pascals:

4.9 kPa = 4,900 Pa.

It is known that when descending 12 meters into the mine, the pressure increases by 1 mm. rt. Art. = 133.3 Pa.

Let’s find the depth of the mine:

(4900: 133.3) * 12 = 441 meters.