A shell and tube heat exchanger with two-tube passes consists of a total of 3,000 straight copper tubes inside a single shell. The tubes have an outer diameter of 2.5 cm and an inner diameter of 2.0 cm. Cooling water entering at 20°C flows on the tube side at the rate of 1,000 kg/s.

Condensation of a vapor occurs on the shell side at constant temperature of 56°C with a heat transfer coefficient  = 11,000 W/m² K. The heat transfer-duty of the condenser is 6.7 ×10⁷ W. Determine the temperature of the cooling water leaving the condenser and the length of the tubes.

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