Estimate the depth of the mine if at its bottom the barometer reads 102 300Pa and on the surface 101 293Pa.

P1 = 102300 Pa.

P2 = 101293 Pa.

ρ = 1.29 kg / m ^ 3.

g = 9.8 m / s ^ 2.

Δh -?

The hydrostatic air pressure is determined by the formula: P = ρ * g * h. Where ρ is the density of air, g is the acceleration of gravity, h is the height of the air.

P1 = ρ * g * h1, P2 = ρ * g * h2.

h1 = P1 / ρ * g, h2 = P2 / ρ * g.

Δh = h1 – h2 = P1 / ρ * g – P2 / ρ * g = (P1 -P2) / ρ * g.

Δh = (102300 Pa – 101293 Pa) / 1.29 kg / m ^ 3 * 9.8 m / s ^ 2 = 79.65 m.

Answer: the depth of the mine is Δh = 79.65 m.