A submarine is located 2.000 km below the surface of the water. What is the absolute pressure of the seawater on the outside of the submarine? (density of seawater is 1,025 kg/m³) A) 175.0 atm B) 187.3 atm C) 199.3 atm D) 205.5 atm E) 210.0 atm

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Quizplus · Accepted Answer

The absolute pressure at a depth in a fluid is given by the formula P = P₀ + ρgh, where P₀ is the atmospheric pressure at the surface (1 atm = 101,325 Pa), ρ is the density of the fluid (1,025 kg/m³ for seawater), g is the acceleration due to gravity (9.8 m/s²), and h is the depth (2,000 m). Converting the depth to meters and using the given values, the pressure due to the water column is ρgh = 1,025 kg/m³ * 9.8 m/s² * 2,000 m = 20,090,000 Pa or 198.6 atm (since 1 atm = 101,325 Pa). Adding the atmospheric pressure (1 atm), the total absolute pressure is approximately 199.6 atm, which rounds to 199.3 atm, considering the options provided.

A Submarine Is Located 2