**Question:****Molecules are injected at the origin x=0 and at x=a, and then they dif****fuse in the solution in the region 0 ≤ x ≤ a with the diffusion constant D.****The molecules in the solution react and disappear in the first-order reaction ****with the rate constant k. The concentration of molecules at the beginning ****and at x=a are equal to c _{0} and c_{1} , correspondingly, at all times.**

**a) Calculate the stationary density profile of the molecules for 0 < x < a.**

**b) Compute the particle current at x=a and at x=0? What is the particle**

**flux for a → ∞ in both cases?**

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