Consider a steady state mass transfer process between well-mixed liquid and vapour phases of a binary mixture comprising of components A and B. The mole fractions of component A in the bulk liquid (x_A) and bulk vapour (y_A) phases are 0.36 and 0.16, respectively. The mass transfer coefficients for component A in liquid and vapour phases are 0.1 mol/(m².s) and 0.05 mol/(m².s), respectively. The vapour-liquid equilibrium can be approximated as y_A^* = 2x_A for x_A less than 0.4. The mole fraction of A in the liquid at the interface (up to two decimal places) is _______.