Entropy Calculation of Reversible Mixing of Ideal Gases Shows Absence of Gibbs Paradox

We consider the work of reversible mixing of ideal gases using a real process. New assumptions were made concerning infinite shifts, infinite number of cycles and infinite work to provide an accurate calculation of entropy resulting from reversible mixing of ideal gases. We derived an equation showing the dependence of this entropy on the difference in potential of mixed gases, which is evidence for the absence of Gibbs' paradox.