2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/180308We show that the isentropic subclass of Buchdahl's exact solution for a gaseous relativistic star is stable and gravitationally bound for all values of the compactness ratio $u [\equiv (M/R)$, where $M$ is the total mass and $R$ is the radius of the configuration in geometrized units] in the range, $0 < u \leq 0.20$, corresponding to the {\em regular} behaviour of the solution. This result is in agreement with the expectation and opposite to the earlier claim found in the literature.9 pages (including 1 table); accepted for publication in GRGGeneral Relativity and Quantum Cosmologytext