An evaporative cooling tower $($shown below$)$ is used to cool water from $40C$ to $25C.$ Water enters the tower at a rate of $30k\frac{g}{s}.$ Dry air $($no water vapor$)$ flows into the tower at a rate of $19k\frac{g}{s}.$ If the rate of wet airflow out of the tower is $20k\frac{g}{s},$ determine the rate of cooled water flowing out in $k\frac{g}{s}.$