Please refer to example 5 of this chapter. Estimate the total transfer rate of solute A from the mass-transfer system shown in Figure 26.14, in units of gmole/h. As part of this analysis, consider the following steps:

a. Differentiate the analytical solution for c_A(x,y) with respect to the coordinate of interest, and then develop an equation to determine the local flux at the boundary. For example, at x = 0 (0 ‰¤ y ‰¤ H),

Repeat this approach for the other exposed faces of the device.

b. For each exposed face, integrate the local flux over y to obtain an equation for the average flux. For example, at x = 0, from y = 0 to y = H,

c. Using an effective diffusion coefficient of 0.02 cm²/s for species A in the porous medium, and a vapor pressure of P^*_A = 0.1 atm as the solid source, estimate the total release of solute A from all exposed faces of the system in units of gmole/hr at 1.0 atm total system pressure and 27^oC, using L = 4.0 cm, H = 6.0 cm, and width (out of x-y plane) of W = 4.0 cm.

Figure 26.14

Transcribed Image Text:

дсА (0, у) NAxl-oy = NA(0, y) = -DAB дх cy=H NAsl-o NAx(0, y) dy x=0 H y=0