The equilibrium constant for the esterifcation of ethanol and acetic acid in an aqueous solution amounts to 0.566 at 298K. The reaction mixture initally contains 0.04 mol/dm^3 of acetic acid and 0.025 mol/dm^3 of ethanol. Find the molar concentration of ethyl acetate at the equilibrium. Assume that the pH is low enough that CH3COOH is not dissociated at all and that the activity of water equals 1 just like for pure liquid water (after all, the solution is quite dilute). HINT: This problem requies you to keep and extra large number of sig figs in intermediate calculations.