  By following the spirit of arXiv:1003.5665, we define a new Tolman
temperature of Kodama observer directly related to its acceleration. We give a
generalized integral form of thermodynamics relation on virtual sphere of
constant $r$ in non-static spherical symmetric spacetimes. This relation
contains work term contributed by `redshift work density', `pressure density'
and `gravitational work density'. We illustrate it in RN black hole,
Dilaton-Maxwell-Einstein black hole and Vaidya black hole. We argue that the
co-moving observers are not physically related to Kodama observers in FRW
universe unless in the vacuum case. We also find that a generalized
differential form of first law is difficult to be well defined, and it would
not give more information than the integral form.
