Manipulation and Reduction of the Equations

We now try to reduce the seven coupled model equations, namely the IVP equations (7.5) to (7.8) for the reactor and the transcendental equations (7.9) to (7.11) for the catalyst pellet, if this is possible. 

Consequently we can drop the design equation (7.6) for component B from our list and simplify (7.5) to become 

And whenever we need to know xbb, we can simply find it via xAb obtained by integrating equation (7.14) and then substituting xAb into equation (7.13). 

Can we also reduce the heat-balance equations and combine them with the mass-balance design equations in some fashion  

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