An isobar $x(T)$ of deuterium solubility in iron is constructed at $P=6.3\phantom{\rule{0.16em}{0ex}}\mathrm{GPa}$ and $100\ensuremath{\le}T\ensuremath{\le}800{\phantom{\rule{0.16em}{0ex}}}^{\ensuremath{\circ}}\mathrm{C}$ based on the results of thermal desorption analysis of $\mathrm{Fe}{\mathrm{D}}_{x}$ samples produced by quenching under high ${\mathrm{D}}_{2}$ pressure to the temperature of liquid nitrogen. The experiment confirms the value of $x=0.64$ at $T=715{\phantom{\rule{0.16em}{0ex}}}^{\ensuremath{\circ}}\mathrm{C}$ proposed previously in a neutron diffraction work [Machida et al., Nature Commun. 5, 5063 (2014)] for \ensuremath{\gamma} iron deuteride under the assumption that deuterium atoms occupy both octa- and tetrahedral interstices in its fcc metal lattice. An estimate of $\mathrm{\ensuremath{\Delta}}V/x=2.2\phantom{\rule{0.16em}{0ex}}{\AA{}}^{3}/\mathrm{atom}$ D made in that work for the deuterium-induced volume expansion $\mathrm{\ensuremath{\Delta}}V(x)$ of fcc iron is also confirmed. To prove that the absorption of protium leads to a similar volume expansion, we constructed an isotherm $x(P)$ of hydrogen solubility in fcc iron at $T=600{\phantom{\rule{0.16em}{0ex}}}^{\ensuremath{\circ}}\mathrm{C}$ and ${\mathrm{H}}_{2}$ pressures from 4.3 to 7.4 GPa. The available $\mathrm{\ensuremath{\Delta}}V(P,T)$ data of in situ x-ray diffraction studies of iron hydrides [T. Hiroi et al., J. Alloys Compd. 404--406, 252 (2005); H. Saitoh et al., J. Alloys Compd. 706, 520 (2017)] agree with this isotherm under the assumption that $\mathrm{\ensuremath{\Delta}}V/x=2.2\phantom{\rule{0.16em}{0ex}}{\AA{}}^{3}/\mathrm{atom}$ H. The transformation between the high-temperature fcc (\ensuremath{\gamma}) and low-temperature dhcp (\ensuremath{\epsilon}\ensuremath{'}) deuterides of iron is shown to occur at 260 \ifmmode^\circ\else\textdegree\fi{}C, which is approximately 100 \ifmmode^\circ\else\textdegree\fi{}C lower than the temperature of the \ensuremath{\gamma} \ensuremath{\leftrightarrow} \ensuremath{\epsilon}\ensuremath{'} transformation in the Fe-H system at the same pressure of 6.3 GPa.