Consider the flow of saturated steam at 270.1 kPa that flows through the shell side of a shell-and-tube heat exchanger while the water flows through 4 tubes of diameter 1.25 cm at a rate of 0.25 kg/s through each tube. The water enters the tubes of heat exchanger at 20°C and exits at 60°C. Due to the heat exchange with the cold fluid, steam is condensed on the tubes external surface. The convection heat transfer coefficient on the steam side is 1500 W/m²·K, while the fouling resistance for the steam and water may be taken as 0.00015 and 0.0001 m²·K/W, respectively. Using the NTU method, determine

(a) Effectiveness of the heat exchanger,

(b) Length of the tube,

(c) Rate of steam condensation.

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Saturated steam 60°C 20°C Water