(Solved): A two-pass surface condenser is required to handle the exhaust from a turbine developing \( 15 \mat ...

A two-pass surface condenser is required to handle the exhaust from a turbine developing \( 15 \mathrm{MW} \) with specific steam consumption of \( 5 \mathrm{~kg} / \mathrm{kWh} \). The condenser vacuum is \( 660 \mathrm{~mm} \) of Hg when the barometer reads \( 760 \mathrm{~mm} \) of \( \mathrm{Hg} \). The mean velocity of water is \( 3 \mathrm{~m} / \mathrm{s} \), water inlet temperature is \( 24^{\circ} \mathrm{C} \). The condensate is saturated water and outlet temperature of cooling water is \( 4^{\circ} \mathrm{C} \) less than the condensate temperature. The quality of exhaust steam is \( 0.9 \) dry. The overall heat transfer coefficient based on outer area of tubes is \( 4000 \mathrm{~W} / \mathrm{m}^{20} \mathrm{C} \). The water tubes are \( 38.4 \mathrm{~mm} \) in outer diameter and \( 29.6 \mathrm{~mm} \) in inner diameter. Calculate the following 1. Mass of cooling water circulated in \( \mathrm{kg} / \mathrm{min} \), 2. Condenser surface area, 3. Number of tubes required per pass, and 4. Tube length