My teacher said unexplainedly that when alkali metals dissolves in liquid ammonia, there is a large increase in the volume. I found a paper that confirms this fact [1]:
In the course of recent research it was necessary to obtain the volume change associated with the solution of lithium, sodium and potassium in liquid ammonia. That the solution of these metals in liquid ammonia is accompanied by a relatively large increase in volume has long been known. From the densities of sodium and potassium solutions it has been shown that these volume changes pass through a maximum at about $3N.$
I am still unaware of the reason for the increase of final volume $V_\mathrm{f}$ after reaction between metal $\ce{M}$ and liquid ammonia $\ce{NH3}$:
$$V_\mathrm{f} \gg V_0(\ce{M}) + V_0(\ce{NH3})$$
Reference
- Marshall, P.; Hunt, H. Volume Changes for Metal Solutions in Liquid Ammonia. J. Am. Chem. Soc. 1955, 77 (19), 5016–5016. DOI: 10.1021/ja01624a022.