Material Balance Interpretation r,-of

For a batch reactor, the only possible input and output terms are by reaction, since there is no flow in or out. For the reactant A in this case, there is output but not input. Equation 1.5-1 then reduces to 

Equation 2.2-2 may appear in various forms, if nA is related to other quantities (by normalization), as follows (1) If A is the limiting reactant, it may be convenient to normalize nA in terms of /A, the fractional conversion of A, defined by  

If we replaoe nA in equation 2.2-2 by cAV and allow V to vary, then we have 

Since ( rA) is now related to two quantities, cA and V, we require additional information connecting cA (or nA) and V. This is provided by an equation of state of the general form 

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