Hot water enters a counter-flow double-pipe heat exchanger at 180F with a velocity of 5 ft/s. Cold water at 80F flows at 3 ft/s in the outer section of the exchanger. The diameter of the inner pipe is 1 inch, the pipe wall thickness is 1/8", and the outer pipe diameter is 2 inches. The overall heat transfer coefficient times area per unit length UA/L = 150 Btu/hr-ft-F. If the exchanger is 16 feet long, what is the exit temperature of the hot water (F)? Use the ε-NTU method. For convenience, use properties evaluated at the entering temperatures of the streams.
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