How many Titanium atoms does this contain?

Question

Titanium has a density of 4.50 g/cm^3
A pure titanium cube has an edge length of 2.64 in.

Answer 1

First convert 2.64 ins/ to centimetres.
2.64 x 2.54 = 6.7056 cm.
Cube has a volume of 6.7056^3 = 301.5177825 cm^3
Mass (Ti) = 4.5 x 301.5177825 = 1356.830021.grams.
Relative Atomic mass of (Ti) = 47.867
Therefore moles(Ti) = 1356.830021/47.867 = 28.34583369
Using the Avogadro Number 6.022 x10^23 - the number of atoms in one mole of a substance.
We have 28.34583369 moles(Ti) x 6.022x 10^23 atoms in one mole = 1.706986105 x 10^25
or 1.7 x 10^25 atoms(Ti).