  In this paper, we will analyze the effects of $\alpha^{\prime} $ corrections
on the behavior of a Reissner-Nordstr\"{o}m black hole. We will calculate the
effects of such corrections on the thermodynamics and thermodynamic stability
of such a black hole. We will also derived a novel $\alpha^{\prime}$-corrected
first law. We will investigate the effect of such corrections on the
Parikh-Wilczek formalism. This will be done using cross entropy and
Kullback-Leibler divergence between the original probability distribution and
the $\alpha^{\prime}$-corrected probability distribution. We will then analyze
the non-equilibrium quantum thermodynamics of this black hole. It will be
observed that its quantum thermodynamics is corrected due to quantum
gravitational corrections. We will use Ramsey scheme for emitted particles to
calculate the quantum work distribution for this system. The average quantum
work will be related to the difference of $\alpha^{\prime}$-corrected free
energies using the Jarzynski equality.
