At a depth of 10.9 km, the Challenger Deep in the Marianas...

At a depth of $10.9 \mathrm{km},$ the Challenger Deep in the Marianas Trench of the Pacific Ocean is the deepest site in any ocean. Yet, in $1960,$ Donald Walsh and Jacques Piccard reached the Challenger Deep in the bathyscaph Trieste. Assuming that seawater has a uniform density of 1024 $\mathrm{kg} / \mathrm{m}^{3}$ , approximate the hydrostatic pressure (in atmospheres) that the Trieste had to withstand. (Even a slight defect in the Trieste structure would have been disastrous.)

At a depth of $10.9 \mathrm{km},$ the Challenger Deep in the
Marianas Trench of the Pacific Ocean is the deepest site in any
ocean. Yet, in $1960,$ Donald Walsh and Jacques Piccard reached the Challenger Deep in the bathyscaph Trieste. Assuming that
seawater has a uniform density of 1024 $\mathrm{kg} / \mathrm{m}^{3}$ , approximate the
hydrostatic pressure (in atmospheres) that the Trieste had to withstand. (Even a slight defect in the Trieste structure would
have been disastrous.)

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Key Concepts

Hydrostatic Pressure

Hydrostatic pressure refers to the pressure exerted by a fluid at rest due to the gravitational force acting on it. This pressure increases with depth and is calculated using the formula p = ?gh, where ? is the fluid’s density, g is the acceleration due to gravity, and h is the depth below the surface.

Pressure Unit Conversion

Pressure measurements can be expressed in various units such as Pascals (Pa) and atmospheres (atm). Understanding how to convert between these units is crucial, especially since 1 atmosphere is approximately 101,325 Pascals, making it easier to relate calculated pressures to everyday conditions.

Fluid Density

Fluid density is a measure of mass per unit volume and is an essential factor in determining the hydrostatic pressure at a given depth. In problems involving fluids like seawater, assuming a uniform density simplifies calculations and helps estimate the pressure exerted on submerged structures.

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