Neon is a noble element and therefore forms a gas of monotomic molecules at all but the lowest temperatures. However, neon freezes and forms a crystalline solid at temperatures below $T=26 \mathrm{~K}$. Classically, how many degrees of freedom are in (a) a mole of neon gas at room temperature?
(b) A mole of solid neon at $T=10 \mathrm{~K}$ ?