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 r² h. We have the diameter so our radio is d/2= 1.5 cm = 1.5x10^-2m

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

V= (3,14) (1.5x10^-2m)²(2.5x10^-3m) = 1.7x10^-6m³

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

V= Lxwxt)

V= (0.15m)(0.12m)(2.5x10^-3m) = 4.6x10^-5m³

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

V_plate = (4.6x10^-5m³)-(1.7x10^-6m³)

V_plate=4.6x10^-3m³

Hope this works for you!