Cold water (cp = 4180 J/kg – °C) enters the tubes of a heat exchanger with 2-shell passes and 23-tube passes at 14°C at a rate of 3 kg/s, while hot oil (cp = 2200 J/kg -°C) enters the shell at 200°C at the same mass flow rate. The overall heat transfer coefficient based on the outer surface of the tube is 300 W/m2 °C and the heat transfer surface area on that side is 20 ma Determine the rate of heat transfer using
(a) The LMTD method and
(b) The ε-NTU method.