To what extreme depth can a bathysphere sink in the sea, the walls of which can withstand a pressure

| May 15, 2021 | education

To what extreme depth can a bathysphere sink in the sea, the walls of which can withstand a pressure of no more than 15,000 kPa?

To find the maximum immersion depth of the specified bathyscaphe in the sea, we apply the formula: Рmax = Pa + Pмв = Pa + ρмв * g * hmax, whence we express: hmax = (Рmax – Pa) / (ρмв * g).

Constants and variables: Pmax – maximum pressure on the walls of the specified bathyscaphe (Pmax = 15,000 kPa = 15 * 10 ^ 6 Pa); Pa – atmospheric pressure (we take Pa = 101 325 Pa); ρmw is the density of seawater (ρmw = 1030 kg / m3); g – acceleration due to gravity (g = 9.81 m / s2).

Calculation: hmax = (Pmax – Pa) / (ρmv * g) = (15 * 10 ^ 6 – 101 325) / (1030 * 9.81) = 1474.5 m.

Answer: The maximum immersion depth of the indicated bathyscaphe in the sea is 1474.5 m.



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