Question: Compound A diffuses through a 4-cm-long tube and reacts as it diffuses. The equation governing diffusion with reaction is Dd 2 A / dx 2

Compound A diffuses through a 4-cm-long tube and reacts as it diffuses. The equation governing diffusion with reaction is

Dd²A/dx² – kA = 0

At one end of the tube, there is a large source of A at a concentration of 0.l M. At the other end of the tube these is an adsorbent material that quickly absorbs any A, making the concentration 0 M. If D = 1.5 x l0^-6 cm²/s and k = 5 x 10^-6 s^-1, what is the concentration of A as a function of distance in the tube?

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