A solution is prepared by dissolving 2.5g of a non-volatile solute in 100g of water. The vapor pressure of the solution is found to be 22.87 Torr at $25^\circ C$. If the vapor pressure of pure water is 23.76 Torr at the same temperature, what is the molar mass of the solute (in g/mol)?

Henry's law constant for CO$_2$ in water at 298K is 1.67 x 10$^8$ Pa. Calculate the mass of CO$_2$ dissolved in 500 mL of soda water when packed under 2.5 atm CO$_2$ pressure at 298K. (1 atm = 1.013 x 10$^5$ Pa, molar mass of CO$_2$ = 44 g/mol)