The Tonga Trench in the Pacific Ocean is 36,000 feet deep.Assuming that sea water has an average density of 1.04 g/cm³,calculate the absolute (total)pressure at the bottom of the trench in atmospheres.(1.00 in = 2.54 cm,1.00 atm = 1.01 × 10⁵^Pa)

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Quizplus · Accepted Answer

To calculate the pressure at the bottom of the trench, use the formula P = ρgh + P₀, where ρ is the density of seawater (1.04 g/cm³ = 1040 kg/m³), g is the acceleration due to gravity (9.81 m/s²), h is the depth (36,000 feet = 10,973.76 meters), and P₀ is the atmospheric pressure at the surface (1 atm = 1.01 × 10⁵ Pa). Convert the pressure from Pascals to atmospheres. The calculation gives approximately 1.1 × 10³ atm.

The Tonga Trench in the Pacific Ocean Is 36,000 Feet