Determine if each statement is true or false: (a) Substitutional alloys are
solid solutions, but interstitial alloys are heterogenous alloys. (b)
Substitutional alloys have "solute" atoms that replace "solvent" atoms in a
lattice, but interstitial alloys have "solute" atoms that are in between the
"solvent" atoms in a lattice. (c) The atomic radii of the atoms in a
substitutional alloy are similar to each other, but in an interstitial alloy,
the interstitial atoms are a lot smaller than the host lattice atoms.\(12.32\)
Sodium metal (atomic weight \(22.99 \mathrm{~g} / \mathrm{mol}\) ) adopts a
bodycentered cubic structure with a density of \(0.97 \mathrm{~g} /
\mathrm{cm}^{3}\).
(a) Use this information and Avogadro's number \(\left(N_{A}=6.022 \times
10^{23} / \mathrm{mol}\right)\) to estimate the atomic radius of sodium. (b) If
sodium didn't react so vigorously, it could float on water. Use the answer
from part (a) to estimate the density of Na if its structure were that of a
cubic close-packed metal. Would it still float on water?