A set of equations describing the evolution of the volume and composition of evaporating sessile binary droplets consisting of infinitely miscible liquids has been employed to consider the evaporation dynamics of sessile droplets of aqueous solutions of sulfuric acid, 1-propanol, and ethanol in the atmosphere of humid air. It has been shown that experimentally observed features of droplet evolution may be explained with allowance for the nonideality of a solution in a droplet and the influence of thermal effects. In particular, the numerically obtained values of parameters at which the realization of this or that scenario is observed for the evolution of droplets of aqueous 1-propanol and ethanol solutions agree with the corresponding experimental data.