We would like to consider mass transfer to a porous cylinder from a solution, similar to the process we analyzed previously. The only difference is that the tank, into which the particle is placed, has a finite volume. This means that the concentration of solute in the tank, while spatially uniform, will change with time as mass transfer takes place. Our goal is to determine the concentration of solute \(a\) in the cylinder and the tank after \(3 \mathrm{~min}\). The situation is shown in Figure P6.20. You may assume that there are no concentration gradients within the particle. Since the tank is well mixed, there are no concentration gradients there either. The physical properties of the particle and the fluid in the tank are:

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C = 10 mol/m r = 0.001 m k = 1 107 m/s C=0 mol/m ai L= 0.05 m 4,= 500 s Dap = 2 10 9 m/s V = 1 10-6 m