onsider a sealed rigid bottle

containing CO$2$ and H$2$O at $10$ bar

ambient temperature. Assume that the

gas phase in the bottle is pure CO$2$ and

follows the ideal gas law. The liquid phase in the bottle contains CO$2$

dissolved in H$2$O and is an ideal

solution. The Henry$$s constant at the

system pressure and temperature is

CO$2$

H

$=1000$ bar. The equilibrium mole

fraction of CO$2$ dissolved in H$2$O is

$\_\_\_\_\_\_\_\_\_($rounded off to three

decimal places$).$