In $2009,$ a team from Northwestern University and Western Washington University reported the preparation of a new "spongy" material composed of nickel, molybdenum, and sulfur that excels at removing mercury from water. The density of this new material is $0\mathrm{.}20\frac{g}{c}{m}^3,$ and its surface area is $1242m^2$ per gram of material.

Part A

Calculate the volume of a $20\mathrm{.}0-mg$ sample of this material.

Express your answer to two significant figures and include the appropriate units.

Part B

Calculate the surface area for a $20\mathrm{.}0-$ mg sample of this material.

Express your answer to three significant figures and include the appropriate units.

Part C

A $10\mathrm{.}0-mL$ sample of contaminated water had $7\mathrm{.}748mg$ of mercury in it$.$ After treatment with $10\mathrm{.}0mg$ of the new spongy material, $0\mathrm{.}001mg$ of mercury remained in the contaminated water. What percentage of the mercury was removed from the water?

Express your answer to four significant figures.

$\%$

Part D

What is the final mass of the spongy material after the exposure to mercury?

Express your answer to three significant figures and include the appropriate units.

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