Results for Specific Rate Laws

In this section, we use two examples to illustrate the application of equations 16.2-12 and -13 to determine cA or /A for specified power-law forms of the rate law, (-rA) = kAc A. 

Derive an equation for calculating the outlet cA or fA for a zero-order reaction, if the inlet concentration IS cAo, and the mean residence time is t. 

For use in equation 16.2-13, we must first obtain [cA(f)/cAo]BR. From the integration of the material balance for constant density in a BR, equation 3.4-9, with n = 0, 

We note that there is a restriction on the value oft since cA(f) 0, 

This integral is related to the exponential integral (see Table 14.1). It cannot be solved in closed analytical form, but it can be evaluated numerically using the E-Z Solve software the upper limit may be set equal to 10f. 

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