Effectiveness for a first-order reversible reaction

Example 9.4 Effectiveness for a first-order reversible reaction Consider a first-order reversible reaction 

After the first integration of this equation with constant De, we have 

This equation can be used in the generalized effectiveness factor obtained from Eq. (9.24) 

As before these balance equations can be combined as follows 

The maximum temperature difference occurs when CR = 0, and after rearranging terms, the equation above becomes 

---