A counter flow heat exchanger is being used to cool a flow of hot water using a cold 20% ethylene glycol solution. The hot water enters at 80°F with a volumetric flow rate of 500 gpm. The ethylene glycol solution enters the heat exchanger at 30°F and leaves at 60°F. The ethylene glycol solution is flowing at a volumetric flow rate of 300 gpm. The overall heat transfer coefficient for the heat exchanger is found to be 520 Btu/hr-ft2-°F. Determine,

a. The outlet temperature of the water (°F)

b. The heat transfer rate between the water and ethylene glycol solution (Btu/h)

c. The required heat transfer area of the heat exchanger (ft2)