  We 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.
