Chapter 14: Problem 3
What is the driving force for \((a)\) heat transfer, \((b)\) electric current flow, \((c)\) fluid flow, and \((d)\) mass transfer?
Chapter 14: Problem 3
What is the driving force for \((a)\) heat transfer, \((b)\) electric current flow, \((c)\) fluid flow, and \((d)\) mass transfer?
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Get started for freeWhat is the difference between mass-average velocity and mole-average velocity during mass transfer in a moving medium? If one of these velocities is zero, will the other also necessarily be zero? Under what conditions will these two velocities be the same for a binary mixture?
A circular copper tube with an inner diameter of \(2 \mathrm{~cm}\) and a length of \(100 \mathrm{~m}\) is used to transport drinking water. Water flows in the tube at an average velocity of \(0.11 \mathrm{~m} / \mathrm{s}\) at $20^{\circ} \mathrm{C}$. At the inner tube surface, the mass concentration of copper in water is \(50 \mathrm{~g} / \mathrm{m}^{3}\). The Environmental Protection Agency (EPA) sets the standards for the National Primary Drinking Water Regulations (NPDWR) that apply to public water systems. The drinking water regulations limit the levels of contaminants in drinking water to protect public health. The maximum contaminant level for copper in drinking water, set by the NPDWR, is \(1.3 \mathrm{mg} / \mathrm{L}\). Above that, additional steps are required to treat the water before it is considered safe for the public. Determine whether the water from the tube has a safe level of copper as per the NPDWR. The diffusion coefficient for copper in water is \(1.5 \times\) \(10^{-9} \mathrm{~m}^{2} / \mathrm{s}\).
What is the low mass flux approximation in mass transfer analysis? Can the evaporation of water from a lake be treated as a low mass flux process?
Benzene-free air at \(25^{\circ} \mathrm{C}\) and \(101.3 \mathrm{kPa}\) enters a \(5-\mathrm{cm}\)-diameter tube at an average velocity of $5 \mathrm{~m} / \mathrm{s}$. The inner surface of the 6-m-long tube is coated with a thin film of pure benzene at \(25^{\circ} \mathrm{C}\). The vapor pressure of benzene \(\left(\mathrm{C}_{6} \mathrm{H}_{6}\right)\) at \(25^{\circ} \mathrm{C}\) is $13 \mathrm{kPa}$, and the solubility of air in benzene is assumed to be negligible. Calculate \((a)\) the average mass transfer coefficient in \(\mathrm{m} / \mathrm{s}\), (b) the molar concentration of benzene in the outlet air, and \((c)\) the evaporation rate of benzene in $\mathrm{kg} / \mathrm{h}$.
Pure \(\mathrm{N}_{2}\) gas at \(1 \mathrm{~atm}\) and \(25^{\circ} \mathrm{C}\) is flowing through a 10 -m-long, 3-cm-inner diameter pipe made of 2 -mm-thick rubber. Determine the rate at which \(\mathrm{N}_{2}\) leaks out of the pipe if the medium surrounding the pipe is \((a)\) a vacuum and \((b)\) atmospheric air at \(1 \mathrm{~atm}\) and \(25^{\circ} \mathrm{C}\) with 21 percent \(\mathrm{O}_{2}\) and 79 percent \(\mathrm{N}_{2}\). Answers: (ca) $2.28 \times 10^{-10} \mathrm{kmol} / \mathrm{s}\(, (b) \)4.78 \times\( \)10^{-11} \mathrm{kmol} / \mathrm{s}$
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