  In this paper, we used the non-commutative (NC) gauge theory of gravity to
investigate the thermodynamic properties of a deformed Schwarzschild black hole
(SBH). Our results present a new scenario of black hole evaporation. As a first
step, we described the Arnowitt-Deser-Misner (ADM) mass, the Hawking
temperature, and the entropy of NC SBH. The non-commutativity removes the
divergence behavior of temperature, and the result shows a difference in the
pole-equator temperature. These corrections also reveal a new fundamental
length at the Planck scale order, $\Theta \approx 2.257 \times 10^{-35}\,m$. In
the last stage of evaporation, the NC correction exposes a remnant entropy
$\hat{S}_0$ of the NC SBH. Then, the description of the heat capacity and the
Gibbs free energy of the deformed black hole shows the effect of the NC gauge
theory on the thermodynamic stability and the phase transitions. Finally, we
investigate the influence of the black hole pressure on the stability and the
phase transition of SBH in NC spacetime. In this study, we found that the NC
parameter plays a similar role to the thermodynamic variables. The results show
a second-order phase transition of NC SBH.
