Chapter 14: Problem 201
Write an essay on diffusion caused by effects other than the concentration gradient such as thermal diffusion, pressure diffusion, forced diffusion, Knudsen diffusion, and surface diffusion.
Chapter 14: Problem 201
Write an essay on diffusion caused by effects other than the concentration gradient such as thermal diffusion, pressure diffusion, forced diffusion, Knudsen diffusion, and surface diffusion.
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Get started for freeHeat convection is expressed by Newton's law of cooling as $\dot{Q}=h A_{s}\left(T_{s}-T_{\infty}\right)$. Express mass convection in an analogous manner on a mass basis, and identify all the quantities in the expression and state their units.
A 2-mm-thick, 5-L vessel made of nickel is used to store hydrogen gas at $358 \mathrm{~K}\( and \)300 \mathrm{kPa}$. If the total inner surface area of the vessel is \(1600 \mathrm{~cm}^{2}\), determine the rate of gas loss from the nickel vessel via mass diffusion. Also, determine the fraction of the hydrogen lost by mass diffusion after one year of storage.
A long nickel bar with a diameter of \(5 \mathrm{~cm}\) has been stored in a hydrogen-rich environment at \(358 \mathrm{~K}\) and \(300 \mathrm{kPa}\) for a long time, and thus it contains hydrogen gas throughout uniformly. Now the bar is taken into a well-ventilated area so that the hydrogen concentration at the outer surface remains at almost zero at all times. Determine how long it will take for the hydrogen concentration at the center of the bar to drop by half. The diffusion coefficient of hydrogen in the nickel bar at the room temperature of \(298 \mathrm{~K}\) can be taken to be \(D_{A B}=\) $1.2 \times 10^{-12} \mathrm{~m}^{2} / \mathrm{s}\(. Answer: \)3.3$ years
You are asked to design a heating system for a swimming pool that is $2 \mathrm{~m}\( deep, \)25 \mathrm{~m}\( long, and \)25 \mathrm{~m}$ wide. Your client desires that the heating system be large enough to raise the water temperature from \(20^{\circ} \mathrm{C}\) to \(30^{\circ} \mathrm{C}\) in $3 \mathrm{~h}\(. The heater must also be able to maintain the pool at \)30^{\circ} \mathrm{C}\( at the outdoor design conditions of \)15^{\circ} \mathrm{C}, 1 \mathrm{~atm}, 35\( percent relative humidity, \)40 \mathrm{mph}$ winds, and effective sky temperature of \(10^{\circ} \mathrm{C}\). Heat losses to the ground are expected to be small and can be disregarded. The heater considered is a natural gas furnace whose efficiency is 80 percent. What heater size (in Btu/h input) would you recommend that your client buy?
Consider a 20 -cm-thick brick wall of a house. The indoor conditions are \(25^{\circ} \mathrm{C}\) and 40 percent relative humidity, while the outside conditions are \(50^{\circ} \mathrm{C}\) and 40 percent relative humidity. Assuming that there is no condensation or freezing within the wall, determine the amount of moisture flowing through a unit surface area of the wall during a 24-h period.
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