A shell-and-tube heat exchanger with 2-shell passes and 8-tube passes is used to heat ethyl alcohol (c_p= 2670 J/kg·K) in the tubes from 25°C to 70°C at a rate of 2.1 kg/s. The heating is to be done by water (c_p= 4190 J/kg·K) that enters the shell side at 95°C and leaves at 45°C. If the overall heat transfer coefficient is 950 W/m²·K, determine the heat transfer surface area of the heat exchanger.

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Water 95°C 70°C+ Ethyl alcohol 25°C 2.1 kg/s (8-tube passes) 45°C