A counter flow heat exchanger is used to cool engine oil by transferring heat to a flow of 40% ethylene glycol- water solution. The engine oil enters the heat exchanger at 85 C with a mass flow rate of 0.023 kg/s. The ethylene glycol enters the heat exchanger at 22 C, with a mass flow rate of 0.012 kg/s. If the conductance of the heat exchanger, UA = 41.07 W/K, using NTU method, determine: a) the rate of heat transfer, b) the exit temperatures of the two fluids. (Cp,engine oil = 1901 J/kg.K, Cp-ethylene glycol = 3539 J/kg.K) (20 points)