Solve Problem 5.25 for a cross flow heat exchanger where both fluids are unmixed.

Problem 5.25

Liquid heptane enters a counter flow heat exchanger at 45°F. The heptane is heated using a flow of hot water entering the heat exchanger at 150°F. The volumetric flow rates of the heptane and water are 280 gpm and 200 gpm, respectively. The UA product of the heat exchanger is found to be 25,675 Btu/hr-ft2-°F. Determine the outlet temperatures of both fluids (°F) and the heat transfer rate between them (Btu/hr).