Question

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Fully solve the following PDE. Consider a compressed gas container of length L, divided in half by a baffle To the left of the porous baffle is a gas of species A, and to the right of it is a different gas of species B. Suppose they are at the same pressure, so that when the baffle is removed at time t-0 the two gases proceed to mix by diffusion alone. Considering species A, say, its concentration ca(x,t) moles/cm3 is governed by the equation: дс A (0 xL, 0<t<oo) D2 дх? дt 0 x L/2 дс, -(L,t) 0 дх дС д (0.t) с (х,0) L/2xL дх where D is the diffusion coefficient, and D and co are constants. Solve for ca(x,t) and all coefficients.

Answer 1

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let C 1 X T 2 17 2 2 yLI Ao t An s e CAC01 as( bM Aur Co aNs

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