Water (Cp = 4180 J/kg · °C) enters the 250mm internal diameter tube of a double-pipe counter-flow heat exchanger at 17°C at a rate of 3Kg/s. Water is heated by steam condensing at 120°C (hfg=2203KJ/kg) in the shell. If the overall heat transfer coefficient of the heat exchanger is 900W/m2 · °C, determine the length of the tube required in order to heat the water to 80°C using (a) the LMTD method and (b) the NTU method.
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