Question: (Diffusion from a sphere) Consider the diffusion of a gas from a spherical bubble of radius a into the surrounding liquid. The concentration of the

(Diffusion from a sphere) Consider the diffusion of a gas from

(Diffusion from a sphere) Consider the diffusion of a gas from a spherical bubble of radius a into the surrounding liquid. The concentration of the gas, C(r,t), is governed by the diffusion equation in spherical coordinates: tC=D(r22C+r2rC). (a) Show that setting v=rC(r,t) the above PDE can be transformed to a more familiar PDE, tv=Dr22v (b) With help of the form in part (a), solve the equation subject to the initial and boundary conditions: C(a,t)=0,C(0,t)

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