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 0.069 % Si by mass is used to make a rectangular plate that is 15.0 cm long, 12.5 cm wide, and 2.50 mm thick and has a 2.50-cm-diameter hole drilled through its center such that the height of the hole is 2.50 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?

Answer #1

First we can calculate the volume of the hole, As the data given shows is a cylindrical shape, So we can calculate the Volume of th cylindre

V = π r^{2} h. We have the diameter so our radio is d/2=
1.5 cm = 1.5x10^{-2}m

We need to have all of our data in the same units, h=
2.5x10^{-3}m

V= (3,14)
(1.5x10^{-2}m)^{2}(2.5x10^{-3}m) =
1.7x10^{-6}m^{3}

Now we calculate the volume of the parallelepid formed by the plate

V= Lxwxt)

V= (0.15m)(0.12m)(2.5x10^{-3}m) =
4.6x10^{-5}m^{3}

Now we substract the volume of the hole to the volumen of the plate

V_{plate} =
(4.6x10^{-5}m^{3})-(1.7x10^{-6}m^{3})

V_{plate}=4.6x10^{-3}m^{3}

Hope this works for you!

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