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Engine oil (c_p=2100 J/kgK) is to be heated from 20 C to 60 C at a rate of 0.3 kg/s in a 2-cm-diameter thin-walled copper tube by condensing steam outside at a temperature of 130C (h_fg=2174 kJ/kg). For an overall heat transfer coefficient of 650 W/m^2 K, determine the rate of heat transfer and the length of the tube required to achieve it.

Engine oil (c_p=2100 J/kgK) is to be heated from 20 C to 60 C at a rate of 0.3 kg/s in a 2-cm-diameter thin-walled copper tube by condensing steam outside at a temperature of 130C (h_fg=2174 kJ/kg). For an overall heat transfer coefficient of 650 W/m^2 K, determine the rate of heat transfer and the length of the tube required to achieve it.