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A piece of corroded metal alloy plate was found in a submerged ocean vessel. It was estimated that the original area of the plate was 750 in 2 and that approximately 8.2 kg had corroded away during the submersion. Assuming a corrosion penetration rate of 4 mm/yr for this alloy in seawater, estimate the time of submersion in years. The density of the alloy is 4.5 g/cm^3.

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Answer:

The time of submersion is 0.94 years

Explanation:

Using the equation

CPR = KW/ρAt

in terms of t we have

t = KW/ρA(CPR)

750[tex]in^{2}[/tex] = 4838[tex]cm^{2}[/tex]

t = 87.6 * (8.2*[tex]10^{6}[/tex])/4.5*4838*4

t = 8248 hours

convert to years

t = 8248/8760 = 0.94 years

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