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In this paper, we first review the equal area laws and Clapeyron equations inthe extended phase space of the charged anti-de Sitter black holes. Withdifferent fixed parameters, the Maxwell's equal area law holds not only in thepressure-thermodynamic volume oscillatory line, but also in the charge-electricpotential and temperature-entropy oscillatory lines. The conventional Clapeyronequation is generalized and two extra equations are found. Moreover, we showthat the coexistence curve of the small and large charged black holes is chargeindependent in the reduced parameter space for any dimension of spacetime. Thehighly accurate fitting formula for the coexistence curve is also presented.Using this fitting formula of the coexistence curve, we find that the Clapeyronequations are highly consistent with the calculated values. The fitting formulais also very useful for further study on the thermodynamic property of thesystem varying along the coexistence curve.

Clapeyron equations and fitting formula of the coexistence curve in the extended phase space of charged AdS black holes