Steam from a process at $165$C is condensed by passing over tubes where cooling water is flowing. The tubes have an inside diameter of $10$ cm$,$ are $14$ m in length, and may be considered smooth. Cooling water enters at $25$C at a total rate of $40$ kg$/$s into the $20$ tubes. Determine the exit temperature of the cooling water assuming that the wall of tube is thin enough to imply that the wall temperature is uniform at $165$C$.$ Notes: $($i$)$ Hint: Start by guessing an exit saturated water temperature in the range of $110-120$C$.$ Only two iterations are required to show your method to solve the problem. $($ii$)$ Properties of saturated water can be found in Attachment $3$