Water flowing through the tube side of a shell-and-tube cross-flow heat exchanger at a rate of 40,000

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Water flowing through the tube side of a shell-and-tube cross-flow heat exchanger at a rate of 40,000 lbm/h is heated from 80°F to 110°F. On the shell side water at 175°F flows through one shell pass at a rate of 30,000 lbm/h and acts as a heating fluid. The overall heat transfer coefficient of the heat exchanger is 220 Btu/h · ft· °F and the average velocity of water flowing through a 0.75-in-inside-diameter pipe is 1.5 ft/s. Because of the space limitations, it is desired to limit the tube length below 8 ft. Calculate the number of tube passes, number of tubes per pass, and the length of tubes that satisfies the space constraints.

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