Mass Conservation and Chemical Reaction

since we also know that each stream consists of the sum of its parts, then 

in turn, means that only two of the three mass balance relationships (1-1) to (1-3) are independent and can be used to express the law of conservation of mass for the separation. We are then left with a system of five equations and nine potential unknowns such that if any four are specified, the remaining five may be determined. Of course, all we have done is to say  

Total mass in/time = total mass out/time 

Since the uniform time dimension divides out of each term of these equations, our result is the direct mass conservation law. 

What happens, though, if not all of the A reacts to form B in the process Then, obviously, the mass of B leaving is not equal to the mass of A entering, but rather 

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