The variation in Gibbs free energy (ΔG) with respect to pressure, as indicated by the provided data, highlights the interplay between temperature and entropy (equation 9) in determining the thermodynamic favorability of the hydrogen evolution reaction (HER). At each pressure (0, 0.1333, 0.26667, and 0.4 Pa), the ΔG values reveal how the system's energy changes during the reaction, with more negative values indicating higher thermodynamic driving forces. The results suggest that the pressure of 0.26667 Pa achieves an optimal balance, as the ΔGH2 and ΔGH values at this pressure (-0.25369 and -0.25883, respectively) are closest to zero without being overly negative, signifying an environment conducive to the fastest reaction rate for HER.