Monel metal is a corrosion-resistant copper-nickel alloy used in the electronics

Question

Monel metal is a corrosion-resistant copper-nickel alloy used in the electronics industry. A particular alloy with a density of 8.80 g/cm3 and containing 0.083 % Si by mass is used to make a rectangular plate that is 15.0 cm long, 12.5 cm wide, and 4.50 mm thick and has a 2.50-cm-diameter hole drilled through its center such that the height of the hole is 4.50 mm .

The silicon in the plate is a mixture of naturally occurring isotopes. One of the those isotopes is silicon-30, which has an atomic mass of 29.97376 amu. The percent natural abundance, which refers to the atoms of a specific isotope, of silicon-30 is 3.10%.

***What is the volume of the plate?

Explanation / Answer

Total volume = length × height × width

= 15 cm × 12.5 cm × 0.450cm

= 84.375 cm3

volume of the hole = ?r2h

= 3.14 × (2 50÷2)2× 0.450

= 2.207 cm3

Volume of the plate = Total volume - volume of the hole

= 84.375 cm3 - 2.207 cm3

= 82.168 cm3

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