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A 2​-liter ​[l] soda​ bottle, made of​ pet, will fail at approximately 207 ​pound-force per square inch​ [psi] of pressure. if you were to dive straight down into the ocean with a 2​-liter bottle, at what depth in units of feet​ [ft] would the bottle​ fail? assume the specific gravity of ocean water is 1.0251

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barnuts

I like to solve first in SI units. So convert pressure into Pascal.

P = 207 psi = 1.427x10^6 Pa

 

The formula for hydrostatic pressure is:

P = ρ g h

where ρ is density of ocean water = 1025.1 kg/m^3, g is gravity = 9.81 m/s^2, h is height or depth

1.427x10^6 = 1025.1 * 9.81 * h

h = 141.92 m

Convert meters to inches:

h = 141.92 m = 5587.4 inches

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