  In this paper, we investigate the thermodynamic properties of black holes
under the influence of rainbow gravity. In the metric of Schwarzschild,
Reissner-Nordstrom and Reissner-Nordstrom-de-Sitter black hole surrounded by
quintessence, we consider a rainbow function and derive the existence of
remnant and critical masses of a black hole. Using the Hawking temperature
relation we derive the heat capacity and the entropy of the rainbow gravity
inspired black holes and closely study the relation between entropy and area of
the horizon for different values of n of the rainbow function.
