Question: Irreversible second-order reaction in an agitated tank consider a system similar to that discussed in Problem 23B.4, except that the solute disappears according to a

Irreversible second-order reaction in an agitated tank consider a system similar to that discussed in Problem 23B.4, except that the solute disappears according to a second-order reaction; that is, R_A,tot = – k^'''₂ Vc²_A. Develop an expression for c A as a function of time by the following method:

(a) Use a macroscopic mass balance for the tank to obtain a differential equation describing the evolution of C_A with time.

(b) Rewrite the differential equation and the accompanying initial condition in terms of the variable the nonlinear differential equation obtained in this way is a Bernoulli differential equation.

4pVk

4pVk"c Ao | 2pVk"

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