Determine the volume of the mine, if at the bottom the barometer shows pressure = 106.2 kPa

Determine the volume of the mine, if at the bottom the barometer shows pressure = 106.2 kPa, and on the surface of the earth 101.3 kPa.

It is known from the condition that at the bottom of the mine the barometer shows pressure p = 106.2 kPa, and at the surface of the earth p0 = 101.3 kPa. And you need to determine the depth of the mine.

Let’s start with a short entry given:

p = 106.2 kPa;

p0 = 101.3 kPa.

Find depth:

h -?

Let’s start by converting the pressure values to the SI system:

p = 106.2 kPa = 106 200 Pa.

p0 = 101.3 kPa = 101 300 Pa.

Decision:

Find the pressure difference:

p – p0 = 106 200 Pa – 101 300 Pa = 4 900 Pa.

Let’s translate Pa in mm. rt. Art:

4,900 Pa ≈ 36 mm. rt. Art.

h = 12 m * 36 mm. rt. st = 432 meters.