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Q6. Hot oil of 0.564 kg/s at 99℃ enters a pipe heat exchanger and Is cooled to 27°C. The water enters at 5°C and is wanned to 25°C.

(a) Sketch the temperature profile showing counter flow (2)

(b) Calculate the log mean temperature difference for the counter flow arrangement. (3)

(c) Calculate the rate of heat transfer (2)

(d) Find the mass flow rate of water. (2)

(e) If the overall heat transfer coefficient is 2500 W/m³K and the diameter is 50 mm, calculate the length of the tubes. (4)

(f) Explain the relative benefits of counter flow compared to parallel flow. (3)

Note: C_p of hot oil is 2.2 kJ/kgK and water kJ/kgK