  Realistic scenario can be represented by general canonical ensemble way
better than the ideal one, with proper parameter sets involved. We study the
Bose-Einstein condensation phenomena of liquid helium within the framework of
Tsallis statistics. With a comparatively high value of the deformation
parameter $q(\sim 1.4)$, the theoretically calculated value of the critical
temperature($T_c$) of the phase transition of liquid helium is found to agree
with the experimentally determined value ($T_c = 2.17~\rm{K}$), although they
differs from each other for $q=1$ (undeformed scenario). This throws a light on
the understanding of the phenomenon and connects temperature
fluctuation(non-equilibrium conditions) with the interactions between atoms
qualitatively. More interactions between atoms give rise to more
non-equilibrium conditions which is as expected.
  \noindent {{\bf Keywords}: Tsallis statistics, Bose-Einstein condensation,
liquid helium.}
