Determine the water-vapor mole and mass fractions before and after the humidifying of the air as described in Problem 11.12.

Problem 11.12.

On an extremely cold winter day, the air temperature and relative humidity in the living space of a home are 295.3 K (72 F) and 18%, respectively. After operating a humidifier for 8 hr, the relative humidity in the house has increased to 40%, the low end of the comfort zone. The air temperature remains at 295.3 K (72 F) and the atmospheric pressure is 100 kPa. Determine the specific humidity before and after humidifying the air. Also determine the average rate at which moisture was added to the air if the volume of the humidified space is 238m³. Express your result in both kg/s and gal/hr.