Consider the dispersion model for the chemical reactor in the presence of a first-order chemical reaction, (-r_{a}=k^{prime

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Consider the dispersion model for the chemical reactor in the presence of a first-order chemical reaction, \(-r_{a}=k^{\prime \prime} c_{a}\).

a. Write the steady-state model equation in dimensionless form. What two dimensionless groups govern the behavior of the model and what do they mean?

b. Using the Danckwerts boundary conditions solve the steady-state equation for the concentration profile.

c. What happens to the model and the concentration profile if \(k_{D}\) is very large? Very small?

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