literature for the estimation of thermodynamic properties of substances. These include [PERSON]'s law, [PERSON]', [PERSON]'s or Van Laar equations, among others [5]. Regarding the beforementioned point, the Redlich-Kwon equation of state was used to model the solubility of methane in water under different pressure and temperature conditions [6]. [PERSON] et al. [7] studied the influence of non-ideal vapor-liquid equilibrium on the evaporation operation of ethanol/iso-octane blends considering the importance of measuring thermal equilibrium in pretreatment systems of second. [PERSON] et al. [8] estimated a vapor-liquid equilibrium in the ternary system formed of acetic acid, water and glucose or xylose. It is an interesting contribution -generation biorefineries. [PERSON] et al. [9] described mathematical expressions for correlation of vapor-liquid equilibria using the Wilson equation for calculating solubility and molar volumes. Other studies have shown interest in studying multi-component solvents (such as butanol, acetone, ethanol and water) mixtures under no-ideal thermodynamic models. In this regard, [PERSON] et al. [10] modeled liquid-liquid equilibrium in a multi-component system comprised of acetone, butanol, ethanol and ionic liquid. Another issue that is needed to be considered is that the formulation of vapor-liquid equilibria generates systems of nonlinear equations that require the programming of solution strategies. In this sense, the Newton-Raphson, Regula-Falsi, Broyden or Levenberg-Marquardt methods are the most used algorithm for solving frequent problems about a system of nonlinear equations. [PERSON] and [PERSON] [11] measured the vapor-liquid equilibrium for industrial sugar juice using the Peng-Robinson equation of state using the mean square error and [PERSON]'s methods. The last one is a quasi-Newton algorithm. A continuum framework for modeling liquid-vapor interfaces was proposed by [PERSON] et al. [12], using a locally discontinuous arbitrary Lagrangian-Eulerian finite element formulation. It is worth mentioning that the selection of an appropriate strategy for analyzing and solving problems of vapor-liquid equilibrium is crucial in the design of chemical processes through computer-aided tools, emphasizing the relevance to obtain accurate solutions, short computational times and high converge rates. This fact gains attention highlighting that the complex problems of sustainable design under CAPE tools just not involve the estimation of thermodynamic properties but includes calculation of chemical reactions, mass/energy balances, downstream processing, among others [13].  
Under the beforementioned, this study presents the application of different solution strategies based on nonlinear modeling for the numerical estimation of thermodynamic equilibrium parameters and variables of the acetone-butanol mixture. The novelty of this work is the programming and comparison of three methods for the solution of the system of nonlinear equations derived from the formulation of vapor-liquid equilibria of the acetone-butanol system under the Wilson model. It will provide insights about the utilization of the available solution strategies considering computational times and converge rates for future application of more complex systems under computer-aided process engineering problems.