If I want to calculate the number of moles ratio of reactants which, in a reversible reaction of equilibrium constant K, will give me a certain yield 'f', what is the mathematical definition of the yield in this case?(adsbygoogle = window.adsbygoogle || []).push({});

For instance, in the reaction A + B ⇔ C + D, let's say we can denote extent by ΔA such that K=(C_{0}-ΔA)*(D_{0}-ΔA)/((A_{0}+ΔA)*(B_{0}+ΔA)). Then is yield f=-ΔA/A_{0}(i.e. 90% yield would suggest that ΔA=-0.9*A_{0})? The problem becomes that then this is not 90% of everything, because B_{0}may not be the same as A_{0}, in which case 90% of B_{0}would not have been converted, only 90% of A_{0}. And if this "90% yield" was done with ΔB instead then our definition would involve 90% of B_{0}being converted but not 90% of A_{0}, which provides two conflicting understandings of the "90% yield" statement.

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# Yield question

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