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Low accuracy of the Solvation Free Energy (SFE) calculation is a knownproblem of the numerical methods of the Integral Equation Theory of Liquids andthe Classical Density Functional Theory (Classical DFT). Although functionalswith empirical corrections can essentially improve the predictability of themethods, their universality is still a question. In our recent paper weconnected the SFE calculation errors with the incorrect pressure in theClassical DFT and proposed the a posteriory correction to improve the results(J. Phys. Chem. Lett., 5, 1925-1942 ). This paper raised a discussion in thecommunity. In particular, recently appeared a critical reply where pointed somethermodynamical inconsistencies of the derivations in our paper (J. Chem.Theory Comput., 11, 378-380). In the present work we re-derive the pressurecorrection in a more simple way and show that despite the inaccuracies duringthe derivation, the final form of the previously derived correction is correct.We also test the applicability of the proposed correction to the functionalswhich include a three- and many- body terms from the fundamental measure theory(FMT) for hard sphere fluid. We test all the functionals on a set of modelsystems and discuss the obtained results.

Pressure Correction in Classical Density Functional Theory: Hyper Netted Chain and Hard Sphere Bridge Functionals