Consider a sealed rigid bottle containing CO₂ and H₂O at 10 bar and ambient temperature. Assume that the gas phase in the bottle is pure CO₂ and follows the ideal gas law. The liquid phase in the bottle contains CO₂ dissolved in H₂O and is an ideal solution. The Henry''s constant at the system pressure and temperature is H_CO2 = 1000 bar. The equilibrium mole fraction of CO₂ dissolved in H₂O is ______ (rounded off to three decimal places).