A piece of corroded steel plate was found in a submerged ocean vessel. It was estimated that the original area of the plate was 17 in.2 and that approximately 2.1 kg had corroded away during the submersion. Assuming a corrosion penetration rate of 200 mpy for this alloy in seawater, estimate the time of submersion in years. The density of steel is 7.9 g/cm^3.

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Answer:

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The time of submersion in years of a steel plat which was found in a submerged ocean vessel is 4.76 years.

What is the time of submersion?

Time of submersion is the total time (generally in years) required to a material to be completely submerged in the fluid.

The time of submersion is calculated with the following formula,

t=(K x W)/((A x ρ x CPR)

Here, ρ is density A is area of the material and CPR is corrosion penetration rate.

The original area of the steel plate was 17 in.2 and which is approximately 2.1 kg had corroded away during the submersion.

The corrosion penetration rate is 200 mpy for this alloy in seawater. Thus, the time of submersion in years when the density of steel is 7.9 g/cm^3 is,

t=(K x W)/((A x ρ x CPR)

t=(534 x (2.1) x (10⁶))/{((17) x (7.9) x (200)}

t=41749.8

For a year,

t=41749.8/(365*24)

t=4.76

Thus, time of submersion in years of a steel plat which was found in a submerged ocean vessel is 4.76 years.

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