Use the separation of variables method to solve the following
problem. Consider a long, narrow
tube connecting two large, well-mixed reservoirs containing a
small concentration of N2 in another
inert gas. The tube length is L = 100 cm. To establish an
initial concentration profile in the
tube, each reservoir is held at a fixed concentration:
Reservoir 1 contains no N2 and reservoir 2 has
2 × 10−6 mol/cm3 of N2.
(a) At t = 0, the concentrations of the...