5.28 The series of heat exchangers shown in Figure P5.28 has the purpose of raising a liquid’s temperature so a desired chemical reaction can take place in the reactor.

The specific heat of the liquid can be assumed constant at an average value of 3.2 kJ/kg·K. The liquid flow rate is 1.5 kg/s. The temperature of the liquid entering HX 1 is 290 K and the temperature leaving the reactor is 390 K. The UA value of HX 1 is 2.88 kW/K. Saturated vapor steam is supplied to HX 2 at 375 K and saturated liquid condensate leaves at 375 K. The UA values of HX 2 and HX 3 are 4.7 and 9.6 kW/K, respectively. Determine the values of the unknown temperatures (K) in the system and the heat transfer rates (kW) in each of the three heat exchangers.