A shell-and-tube heat exchanger is to heat 10,000 kg/h of water from 16C to 84C by hot engine oil flowing through the shell. The oil makes a single shell pass, entering at 160C and leaving at 94C, with an average heat transfer coefficient of 400 W/m2K. The water flows through 11 brass tubes of 22.9 mm inner diameter and 25.4 mm outer diameter, with each tube making four passes through the shell. Assuming fully developed flow for the water, find the required tube length per pass.
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