Engine oil (c_p = 2100 J/kg · K) 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 130°C (h_fg = 2174 kJ/kg). For an overall heat transfer coefficient of 650 W/m² · K, determine the rate of heat transfer and the length of the tube required to achieve it.

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Oil 20°C 0.3 kg/s Steam 130°C 60°C